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Incentive contract design for supplier switching with considering learning effect
Dynamic-programming-based heuristic for multi-objective operating theater planning
School of Management, Xi'an Jiaotong University, 710049, NO.28 Xianning Road, Xi'an Shaanxi, China |
This study focuses on the assignment of surgical operations to operating room (OR) blocks to minimize not only the utilization cost of the OR blocks but also the number of patterns generated. We propose a dynamic-programming-based heuristic to solve this problem. Using an iterative formulation, we separate the patterns individually. The computational results show that the proposed heuristic is efficient. Compared with "quasi-optimal" plans, the average cost gap ranges from 0.022 to 0.066 for various scenarios. A lower bound based on column generation procedure is developed. Results show that the average absolute difference of three scenarios are respectively 0.045, 0.081 and 0.115. According to evaluations based on performance indicators from the extant literature, the utilization ratio of the operating theater (OT) varies from 1% underutilization to 2% overutilization in the solutions yielded by the proposed heuristic. This study deals with a multi-objective optimization problem, the second objective of which plays a significant role in reducing the preparation cost, error probability, and staff fatigue in medical systems, where security and human issues are far more emphasized than in other sectors. To the best of our knowledge, our study is the first to investigate such a real-world multi-objective OT planning problem.
References:
[1] |
I. Adan, J. Bekkers, N. Dellaert, J. Jeunet and J. Vissers,
Improving operational effectiveness of tactical master plans for emergency and elective patients under stochastic demand and capacitated resources, European Journal of Operational Research, 213 (2011), 290-308.
doi: 10.1016/j.ejor.2011.02.025. |
[2] |
J. Ansarifar, R. Tavakkoli-Moghaddam, F. Akhavizadegan and S. Hassanzadeh Amin,
Multi-objective integrated planning and scheduling model for operating rooms under uncertainty, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 232 (2018), 930-948.
doi: 10.1177/0954411918794721. |
[3] |
J. Belien and E. Demeulemeester,
Building cyclic master surgery schedules with leveled resulting bed occupancy, European Journal of Operational Research, 176 (2007), 1185-1204.
doi: 10.1016/j.ejor.2005.06.063. |
[4] |
B. Cardoen, E. Demeulemeester and J. Belien, Optimizing a multiple objective surgical case senquencing problem, International Journal of Production Economics, 119 (2009), 354-366. Google Scholar |
[5] |
B. Cardoen, E. Demeulemeester and J. Belien, Operating room planning and scheduling: A literature review, European Journal of Operational Research, 201 (2010), 921-932. Google Scholar |
[6] |
H. F. M. Association et al., Achieving operating room efficiency through process integration., Healthcare Financial Management: Journal of the Healthcare Financial Management Association, 57 (2003), suppl 1–7. Google Scholar |
[7] |
C. Chu and J. Antonio,
Approximation algorithms to solve real-life multicriteria cutting stock problems, Operations Research, 47 (1999), 495-508.
doi: 10.1287/opre.47.4.495. |
[8] |
N. Dellaert, E. Cayiroglu and J. Jeunet,
Assessing and controlling the impact of hospital capacity planning on the waiting time, International Journal of Production Research, 54 (2016), 2203-2214.
doi: 10.1080/00207543.2015.1051668. |
[9] |
N. Dellaert and J. Jeunet,
A variable neighborhood search algorithm for the surgery tactical planning problem, Computers & Operations Research, 84 (2017), 216-225.
doi: 10.1016/j.cor.2016.05.013. |
[10] |
F. Dexter, A. Macario, R. D. Traub, M. Hopwood and D. A. Lubarsky,
An operating room scheduling strategy to maximize the use of operating room block time: computer simulation of patient scheduling and survey of patients' preferences for surgical waiting time, Anesthesia Analgesia, 89 (1999), 7-20.
doi: 10.1097/00000539-199907000-00003. |
[11] |
H. Fei, C. Chu and N. Meskens,
Solving a tactical operating room planning problem by a column-generation-based heuristic procedure with four criteria, Annals of Operations Research, 166 (2009), 91-108.
doi: 10.1007/s10479-008-0413-3. |
[12] |
H. Fei, C. Chu, N. Meskens and A. Artiba,
Solving surgical cases assignment problem by a branch-and-price approach, International Journal of Production Economics, 112 (2008), 96-108.
doi: 10.1016/j.ijpe.2006.08.030. |
[13] |
H. Fei, N. Meskens and C. Chu,
A planning and scheduling problem for an operating theatre using an open scheduling strategy, Computers and Industrial Engineering, 58 (2010), 221-230.
doi: 10.1016/j.cie.2009.02.012. |
[14] |
P. C. Gilmore and R. E. Gomory,
A linear programming approach to the cutting-stock problem, Operations Research, 9 (1961), 849-859.
doi: 10.1287/opre.9.6.849. |
[15] |
F. Guerriero and R. Guido,
Operational research in the management of the operating theatre: a survey, Health Care Management Science, 14 (2011), 89-114.
doi: 10.1007/s10729-010-9143-6. |
[16] |
R. Guido and D. Conforti,
A hybrid genetic approach for solving an integrated multi-objective operating room planning and scheduling problem, Computers & Operations Research, 87 (2017), 270-282.
doi: 10.1016/j.cor.2016.11.009. |
[17] |
A. Guinet and S. Chaabane,
Operating theatre planning, International Journal of Production Economics, 85 (2003), 69-81.
doi: 10.1016/S0925-5273(03)00087-2. |
[18] |
E. Hans, G. Wullink, M. V. Houdenhoven and G. Kazemier,
Robust surgery loading, European Journal of Operational Research, 185 (2008), 1038-1050.
doi: 10.1016/j.ejor.2006.08.022. |
[19] |
A. Jebali, A. H. Alouane and P. Ladet,
Operating rooms scheduling, International Journal of Production Economics, 99 (2006), 52-62.
doi: 10.1016/j.ijpe.2004.12.006. |
[20] |
A. Jebali and A. Diabat,
A stochastic model for operating room planning under capacity constraints, International Journal of Production Research, 53 (2015), 7252-7270.
doi: 10.1080/00207543.2015.1033500. |
[21] |
M. A. Kamran, B. Karimi and N. Dellaert,
Uncertainty in advance scheduling problem in operating room planning, Computers & Industrial Engineering, 126 (2018), 252-268.
doi: 10.1016/j.cie.2018.09.030. |
[22] |
M. A. Kamran, B. Karimi, N. Dellaert and E. Demeulemeester, Adaptive operating rooms planning and scheduling: A rolling horizon approach, Operations Research for Health Care, 22 (2019), 100200.
doi: 10.1016/j.orhc.2019.100200. |
[23] |
P. Kuo, R. Schroeder, S. Mahaffey and R. R. Bollinger,
Optimization of operating room allocation using linear programming technique, The American College of Surgeon, 197 (2003), 889-895.
doi: 10.1016/j.jamcollsurg.2003.07.006. |
[24] |
E. Litvak and M. Long, Cost and quality under managed care: Irreconcilable differences, American Journal of Managed Care, 6 (2000), 305-312. Google Scholar |
[25] |
Y. Liu, C. Chu and K. Wang,
A new heuristic algorithm for the operating room scheduling problem, Computers and Industrial Engineering, 61 (2011), 865-871.
doi: 10.1016/j.cie.2011.05.020. |
[26] |
E. Marcon, S. Kharraja and G. Simonnet,
The operating theatre planning by the follow-up of the risk of no realization, International Journal of Production Economics, 85 (2003), 83-90.
doi: 10.1016/S0925-5273(03)00088-4. |
[27] |
A. Testi and E. Tanfani,
A pre-assignment heuristic algorithm for the master surgical schedule problem(mssp), Annals of Operations Research, 178 (2010), 105-119.
doi: 10.1007/s10479-009-0568-6. |
[28] |
M. M. Vali-Siar, S. Gholami and R. Ramezanian,
Multi-period and multi-resource operating room scheduling under uncertainty: A case study, Computers & Industrial Engineering, 126 (2018), 549-568.
doi: 10.1016/j.cie.2018.10.014. |
[29] |
C. Van Riet and E. Demeulemeester, Trade-offs in operating room planning for electives and emergencies: A review, Operations Research for Health Care, 7 (2015), 52-69. Google Scholar |
[30] |
F. Vanderbeck,
Exact algorithm for minimising the number of setups in the one-dimensional cutting stock problem, Operations Research, 48 (2000), 915-926.
doi: 10.1287/opre.48.6.915.12391. |
[31] |
A. Weinbroum, P. Ekstein and T. Ezri,
Efficiency of the operating room suite, The American Journal of Surgery, 185 (2003), 244-250.
doi: 10.1016/S0002-9610(02)01362-4. |
[32] |
W. Xiang,
A multi-objective aco for operating room scheduling optimization, Natural Computing, 16 (2017), 607-617.
doi: 10.1007/s11047-016-9607-9. |
[33] |
S. Zhu, W. Fan, S. Yang, J. Pei and P. M. Pardalos,
Operating room planning and surgical case scheduling: A review of literature, Journal of Combinatorial Optimization, 37 (2019), 757-805.
doi: 10.1007/s10878-018-0322-6. |
show all references
References:
[1] |
I. Adan, J. Bekkers, N. Dellaert, J. Jeunet and J. Vissers,
Improving operational effectiveness of tactical master plans for emergency and elective patients under stochastic demand and capacitated resources, European Journal of Operational Research, 213 (2011), 290-308.
doi: 10.1016/j.ejor.2011.02.025. |
[2] |
J. Ansarifar, R. Tavakkoli-Moghaddam, F. Akhavizadegan and S. Hassanzadeh Amin,
Multi-objective integrated planning and scheduling model for operating rooms under uncertainty, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 232 (2018), 930-948.
doi: 10.1177/0954411918794721. |
[3] |
J. Belien and E. Demeulemeester,
Building cyclic master surgery schedules with leveled resulting bed occupancy, European Journal of Operational Research, 176 (2007), 1185-1204.
doi: 10.1016/j.ejor.2005.06.063. |
[4] |
B. Cardoen, E. Demeulemeester and J. Belien, Optimizing a multiple objective surgical case senquencing problem, International Journal of Production Economics, 119 (2009), 354-366. Google Scholar |
[5] |
B. Cardoen, E. Demeulemeester and J. Belien, Operating room planning and scheduling: A literature review, European Journal of Operational Research, 201 (2010), 921-932. Google Scholar |
[6] |
H. F. M. Association et al., Achieving operating room efficiency through process integration., Healthcare Financial Management: Journal of the Healthcare Financial Management Association, 57 (2003), suppl 1–7. Google Scholar |
[7] |
C. Chu and J. Antonio,
Approximation algorithms to solve real-life multicriteria cutting stock problems, Operations Research, 47 (1999), 495-508.
doi: 10.1287/opre.47.4.495. |
[8] |
N. Dellaert, E. Cayiroglu and J. Jeunet,
Assessing and controlling the impact of hospital capacity planning on the waiting time, International Journal of Production Research, 54 (2016), 2203-2214.
doi: 10.1080/00207543.2015.1051668. |
[9] |
N. Dellaert and J. Jeunet,
A variable neighborhood search algorithm for the surgery tactical planning problem, Computers & Operations Research, 84 (2017), 216-225.
doi: 10.1016/j.cor.2016.05.013. |
[10] |
F. Dexter, A. Macario, R. D. Traub, M. Hopwood and D. A. Lubarsky,
An operating room scheduling strategy to maximize the use of operating room block time: computer simulation of patient scheduling and survey of patients' preferences for surgical waiting time, Anesthesia Analgesia, 89 (1999), 7-20.
doi: 10.1097/00000539-199907000-00003. |
[11] |
H. Fei, C. Chu and N. Meskens,
Solving a tactical operating room planning problem by a column-generation-based heuristic procedure with four criteria, Annals of Operations Research, 166 (2009), 91-108.
doi: 10.1007/s10479-008-0413-3. |
[12] |
H. Fei, C. Chu, N. Meskens and A. Artiba,
Solving surgical cases assignment problem by a branch-and-price approach, International Journal of Production Economics, 112 (2008), 96-108.
doi: 10.1016/j.ijpe.2006.08.030. |
[13] |
H. Fei, N. Meskens and C. Chu,
A planning and scheduling problem for an operating theatre using an open scheduling strategy, Computers and Industrial Engineering, 58 (2010), 221-230.
doi: 10.1016/j.cie.2009.02.012. |
[14] |
P. C. Gilmore and R. E. Gomory,
A linear programming approach to the cutting-stock problem, Operations Research, 9 (1961), 849-859.
doi: 10.1287/opre.9.6.849. |
[15] |
F. Guerriero and R. Guido,
Operational research in the management of the operating theatre: a survey, Health Care Management Science, 14 (2011), 89-114.
doi: 10.1007/s10729-010-9143-6. |
[16] |
R. Guido and D. Conforti,
A hybrid genetic approach for solving an integrated multi-objective operating room planning and scheduling problem, Computers & Operations Research, 87 (2017), 270-282.
doi: 10.1016/j.cor.2016.11.009. |
[17] |
A. Guinet and S. Chaabane,
Operating theatre planning, International Journal of Production Economics, 85 (2003), 69-81.
doi: 10.1016/S0925-5273(03)00087-2. |
[18] |
E. Hans, G. Wullink, M. V. Houdenhoven and G. Kazemier,
Robust surgery loading, European Journal of Operational Research, 185 (2008), 1038-1050.
doi: 10.1016/j.ejor.2006.08.022. |
[19] |
A. Jebali, A. H. Alouane and P. Ladet,
Operating rooms scheduling, International Journal of Production Economics, 99 (2006), 52-62.
doi: 10.1016/j.ijpe.2004.12.006. |
[20] |
A. Jebali and A. Diabat,
A stochastic model for operating room planning under capacity constraints, International Journal of Production Research, 53 (2015), 7252-7270.
doi: 10.1080/00207543.2015.1033500. |
[21] |
M. A. Kamran, B. Karimi and N. Dellaert,
Uncertainty in advance scheduling problem in operating room planning, Computers & Industrial Engineering, 126 (2018), 252-268.
doi: 10.1016/j.cie.2018.09.030. |
[22] |
M. A. Kamran, B. Karimi, N. Dellaert and E. Demeulemeester, Adaptive operating rooms planning and scheduling: A rolling horizon approach, Operations Research for Health Care, 22 (2019), 100200.
doi: 10.1016/j.orhc.2019.100200. |
[23] |
P. Kuo, R. Schroeder, S. Mahaffey and R. R. Bollinger,
Optimization of operating room allocation using linear programming technique, The American College of Surgeon, 197 (2003), 889-895.
doi: 10.1016/j.jamcollsurg.2003.07.006. |
[24] |
E. Litvak and M. Long, Cost and quality under managed care: Irreconcilable differences, American Journal of Managed Care, 6 (2000), 305-312. Google Scholar |
[25] |
Y. Liu, C. Chu and K. Wang,
A new heuristic algorithm for the operating room scheduling problem, Computers and Industrial Engineering, 61 (2011), 865-871.
doi: 10.1016/j.cie.2011.05.020. |
[26] |
E. Marcon, S. Kharraja and G. Simonnet,
The operating theatre planning by the follow-up of the risk of no realization, International Journal of Production Economics, 85 (2003), 83-90.
doi: 10.1016/S0925-5273(03)00088-4. |
[27] |
A. Testi and E. Tanfani,
A pre-assignment heuristic algorithm for the master surgical schedule problem(mssp), Annals of Operations Research, 178 (2010), 105-119.
doi: 10.1007/s10479-009-0568-6. |
[28] |
M. M. Vali-Siar, S. Gholami and R. Ramezanian,
Multi-period and multi-resource operating room scheduling under uncertainty: A case study, Computers & Industrial Engineering, 126 (2018), 549-568.
doi: 10.1016/j.cie.2018.10.014. |
[29] |
C. Van Riet and E. Demeulemeester, Trade-offs in operating room planning for electives and emergencies: A review, Operations Research for Health Care, 7 (2015), 52-69. Google Scholar |
[30] |
F. Vanderbeck,
Exact algorithm for minimising the number of setups in the one-dimensional cutting stock problem, Operations Research, 48 (2000), 915-926.
doi: 10.1287/opre.48.6.915.12391. |
[31] |
A. Weinbroum, P. Ekstein and T. Ezri,
Efficiency of the operating room suite, The American Journal of Surgery, 185 (2003), 244-250.
doi: 10.1016/S0002-9610(02)01362-4. |
[32] |
W. Xiang,
A multi-objective aco for operating room scheduling optimization, Natural Computing, 16 (2017), 607-617.
doi: 10.1007/s11047-016-9607-9. |
[33] |
S. Zhu, W. Fan, S. Yang, J. Pei and P. M. Pardalos,
Operating room planning and surgical case scheduling: A review of literature, Journal of Combinatorial Optimization, 37 (2019), 757-805.
doi: 10.1007/s10878-018-0322-6. |



number of OR block types; | ||
number of operation types; | ||
set of OR blocks available during the planning horizon; | ||
set of operations to be assigned; | ||
the regular opening time of OR block with type |
||
the maximum overtime of OR block with type |
||
number of OR blocks with type |
||
number of mandatory operations with type |
||
number of operations to be assigned with type |
||
the duration of operation with type |
||
number of all feasible patterns using block of type |
||
utilization cost of pattern |
||
number of operations of type |
||
cost for preparing a pattern; | ||
an arbitrarily large number; | ||
the number of occurrences of pattern |
||
1, if pattern |
number of OR block types; | ||
number of operation types; | ||
set of OR blocks available during the planning horizon; | ||
set of operations to be assigned; | ||
the regular opening time of OR block with type |
||
the maximum overtime of OR block with type |
||
number of OR blocks with type |
||
number of mandatory operations with type |
||
number of operations to be assigned with type |
||
the duration of operation with type |
||
number of all feasible patterns using block of type |
||
utilization cost of pattern |
||
number of operations of type |
||
cost for preparing a pattern; | ||
an arbitrarily large number; | ||
the number of occurrences of pattern |
||
1, if pattern |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 16 | 113 | 27 | 0.047 | 0.116 | 0.069 | 0.50 | 0.116 | 0.200 | 0.084 | 0.52 | 0.186 | 0.281 | 0.095 | 0.56 | ||
2 | 20 | 122 | 24 | 0.049 | 0.065 | 0.016 | 0.56 | 0.122 | 0.138 | 0.016 | 0.56 | 0.195 | 0.210 | 0.015 | 0.55 | ||
3 | 15 | 118 | 24 | 0.048 | 0.074 | 0.026 | 0.43 | 0.121 | 0.146 | 0.025 | 0.47 | 0.194 | 0.218 | 0.024 | 0.45 | ||
4 | 19 | 165 | 28 | 0.043 | 0.085 | 0.042 | 0.70 | 0.106 | 0.202 | 0.096 | 0.70 | 0.170 | 0.323 | 0.153 | 0.71 | ||
5 | 16 | 104 | 26 | 0.049 | 0.051 | 0.002 | 0.47 | 0.125 | 0.127 | 0.002 | 0.53 | 0.200 | 0.202 | 0.002 | 0.51 | ||
6 | 19 | 146 | 28 | 0.045 | 0.053 | 0.008 | 0.65 | 0.112 | 0.120 | 0.008 | 0.66 | 0.179 | 0.187 | 0.008 | 0.67 | ||
7 | 17 | 133 | 26 | 0.044 | 0.089 | 0.045 | 0.53 | 0.111 | 0.183 | 0.072 | 0.56 | 0.177 | 0.246 | 0.068 | 0.54 | ||
8 | 19 | 136 | 26 | 0.046 | 0.070 | 0.024 | 0.58 | 0.115 | 0.152 | 0.037 | 0.58 | 0.183 | 0.234 | 0.051 | 0.61 | ||
9 | 18 | 106 | 26 | 0.047 | 0.078 | 0.032 | 0.50 | 0.118 | 0.158 | 0.041 | 0.53 | 0.188 | 0.228 | 0.040 | 0.54 | ||
10 | 18 | 121 | 24 | 0.052 | 0.108 | 0.056 | 0.47 | 0.131 | 0.204 | 0.073 | 0.51 | 0.209 | 0.280 | 0.071 | 0.50 | ||
Ave. | 17.70 | 126.40 | 25.90 | 0.047 | 0.079 | 0.032 | 0.54 | 0.118 | 0.163 | 0.045 | 0.56 | 0.188 | 0.241 | 0.053 | 0.56 | ||
Case 2 | |||||||||||||||||
1 | 17 | 114 | 22 | 0.050 | 0.082 | 0.032 | 0.41 | 0.125 | 0.200 | 0.075 | 0.42 | 0.201 | 0.307 | 0.106 | 0.45 | ||
2 | 19 | 174 | 26 | 0.048 | 0.080 | 0.032 | 0.60 | 0.120 | 0.152 | 0.032 | 0.64 | 0.191 | 0.224 | 0.032 | 0.62 | ||
3 | 18 | 147 | 25 | 0.052 | 0.173 | 0.121 | 0.54 | 0.130 | 0.280 | 0.151 | 0.58 | 0.207 | 0.367 | 0.160 | 0.58 | ||
4 | 18 | 122 | 20 | 0.052 | 0.079 | 0.027 | 0.36 | 0.131 | 0.173 | 0.043 | 0.35 | 0.209 | 0.252 | 0.043 | 0.36 | ||
5 | 17 | 121 | 26 | 0.048 | 0.122 | 0.074 | 0.50 | 0.121 | 0.223 | 0.102 | 0.55 | 0.194 | 0.322 | 0.128 | 0.56 | ||
6 | 18 | 164 | 27 | 0.044 | 0.071 | 0.027 | 0.61 | 0.110 | 0.138 | 0.028 | 0.63 | 0.177 | 0.205 | 0.028 | 0.65 | ||
7 | 15 | 114 | 25 | 0.044 | 0.070 | 0.025 | 0.46 | 0.112 | 0.137 | 0.025 | 0.45 | 0.180 | 0.204 | 0.024 | 0.49 | ||
8 | 16 | 143 | 26 | 0.047 | 0.076 | 0.030 | 0.48 | 0.117 | 0.144 | 0.027 | 0.53 | 0.187 | 0.215 | 0.028 | 0.54 | ||
9 | 17 | 147 | 26 | 0.047 | 0.065 | 0.018 | 0.55 | 0.118 | 0.135 | 0.017 | 0.58 | 0.188 | 0.205 | 0.017 | 0.57 | ||
10 | 18 | 123 | 24 | 0.045 | 0.078 | 0.033 | 0.47 | 0.112 | 0.159 | 0.046 | 0.48 | 0.180 | 0.234 | 0.054 | 0.46 | ||
Ave. | 17.30 | 136.90 | 24.70 | 0.048 | 0.090 | 0.042 | 0.50 | 0.120 | 0.174 | 0.055 | 0.52 | 0.191 | 0.253 | 0.062 | 0.53 | ||
Case 3 | |||||||||||||||||
1 | 17 | 147 | 24 | 0.047 | 0.092 | 0.045 | 0.50 | 0.117 | 0.162 | 0.044 | 0.49 | 0.188 | 0.231 | 0.043 | 0.52 | ||
2 | 17 | 109 | 24 | 0.045 | 0.129 | 0.084 | 0.38 | 0.112 | 0.206 | 0.095 | 0.41 | 0.179 | 0.265 | 0.086 | 0.45 | ||
3 | 18 | 181 | 27 | 0.048 | 0.057 | 0.009 | 0.47 | 0.120 | 0.129 | 0.009 | 0.60 | 0.192 | 0.201 | 0.009 | 0.61 | ||
4 | 17 | 141 | 24 | 0.049 | 0.126 | 0.077 | 0.47 | 0.122 | 0.216 | 0.094 | 0.49 | 0.195 | 0.316 | 0.121 | 0.48 | ||
5 | 17 | 103 | 22 | 0.060 | 0.107 | 0.048 | 0.39 | 0.149 | 0.195 | 0.046 | 0.43 | 0.239 | 0.282 | 0.043 | 0.45 | ||
6 | 20 | 189 | 26 | 0.046 | 0.058 | 0.012 | 0.59 | 0.115 | 0.136 | 0.020 | 0.67 | 0.185 | 0.206 | 0.021 | 0.68 | ||
7 | 17 | 123 | 27 | 0.043 | 0.077 | 0.034 | 0.52 | 0.110 | 0.142 | 0.033 | 0.53 | 0.175 | 0.207 | 0.031 | 0.54 | ||
8 | 16 | 109 | 23 | 0.057 | 0.133 | 0.075 | 0.42 | 0.144 | 0.235 | 0.092 | 0.44 | 0.230 | 0.338 | 0.108 | 0.43 | ||
9 | 17 | 145 | 24 | 0.046 | 0.072 | 0.026 | 0.48 | 0.115 | 0.169 | 0.054 | 0.48 | 0.184 | 0.275 | 0.091 | 0.50 | ||
10 | 17 | 164 | 28 | 0.045 | 0.063 | 0.018 | 0.61 | 0.112 | 0.130 | 0.018 | 0.63 | 0.179 | 0.197 | 0.018 | 0.63 | ||
Ave. | 17.30 | 141.10 | 24.90 | 0.049 | 0.091 | 0.043 | 0.48 | 0.122 | 0.172 | 0.050 | 0.52 | 0.195 | 0.252 | 0.057 | 0.53 | ||
Case 4 | |||||||||||||||||
1 | 17 | 157 | 27 | 0.038 | 0.084 | 0.046 | 0.58 | 0.094 | 0.161 | 0.067 | 0.59 | 0.151 | 0.228 | 0.077 | 0.59 | ||
2 | 19 | 110 | 26 | 0.052 | 0.065 | 0.013 | 0.53 | 0.130 | 0.143 | 0.012 | 0.57 | 0.209 | 0.220 | 0.012 | 0.58 | ||
3 | 16 | 100 | 24 | 0.055 | 0.076 | 0.020 | 0.39 | 0.139 | 0.168 | 0.029 | 0.46 | 0.222 | 0.250 | 0.028 | 0.51 | ||
4 | 17 | 136 | 26 | 0.046 | 0.057 | 0.011 | 0.57 | 0.115 | 0.139 | 0.024 | 0.58 | 0.184 | 0.213 | 0.030 | 0.56 | ||
5 | 19 | 125 | 23 | 0.051 | 0.073 | 0.022 | 0.49 | 0.130 | 0.173 | 0.044 | 0.52 | 0.207 | 0.267 | 0.059 | 0.53 | ||
6 | 16 | 111 | 25 | 0.048 | 0.065 | 0.018 | 0.42 | 0.120 | 0.137 | 0.017 | 0.44 | 0.191 | 0.208 | 0.017 | 0.45 | ||
7 | 18 | 117 | 25 | 0.047 | 0.056 | 0.009 | 0.51 | 0.117 | 0.126 | 0.009 | 0.55 | 0.188 | 0.197 | 0.010 | 0.55 | ||
8 | 17 | 107 | 26 | 0.052 | 0.090 | 0.038 | 0.53 | 0.130 | 0.168 | 0.037 | 0.55 | 0.209 | 0.245 | 0.036 | 0.55 | ||
9 | 17 | 159 | 26 | 0.048 | 0.053 | 0.005 | 0.44 | 0.120 | 0.126 | 0.006 | 0.50 | 0.192 | 0.198 | 0.006 | 0.52 | ||
10 | 18 | 105 | 24 | 0.050 | 0.095 | 0.045 | 0.45 | 0.125 | 0.169 | 0.044 | 0.48 | 0.200 | 0.242 | 0.042 | 0.46 | ||
Ave. | 17.40 | 122.70 | 25.20 | 0.049 | 0.071 | 0.023 | 0.49 | 0.122 | 0.151 | 0.029 | 0.52 | 0.195 | 0.227 | 0.032 | 0.53 | ||
Case 5 | |||||||||||||||||
1 | 17 | 155 | 27 | 0.039 | 0.059 | 0.020 | 0.61 | 0.098 | 0.130 | 0.031 | 0.62 | 0.157 | 0.200 | 0.043 | 0.65 | ||
2 | 17 | 135 | 27 | 0.038 | 0.104 | 0.066 | 0.49 | 0.095 | 0.163 | 0.068 | 0.54 | 0.152 | 0.222 | 0.069 | 0.54 | ||
3 | 18 | 103 | 24 | 0.050 | 0.070 | 0.020 | 0.31 | 0.125 | 0.146 | 0.021 | 0.45 | 0.200 | 0.223 | 0.023 | 0.46 | ||
4 | 16 | 168 | 28 | 0.040 | 0.064 | 0.023 | 0.61 | 0.101 | 0.137 | 0.036 | 0.62 | 0.162 | 0.210 | 0.048 | 0.63 | ||
5 | 18 | 139 | 27 | 0.044 | 0.051 | 0.008 | 0.61 | 0.110 | 0.117 | 0.007 | 0.61 | 0.175 | 0.183 | 0.007 | 0.65 | ||
6 | 19 | 171 | 24 | 0.051 | 0.055 | 0.004 | 0.51 | 0.128 | 0.132 | 0.004 | 0.53 | 0.205 | 0.209 | 0.004 | 0.55 | ||
7 | 18 | 147 | 26 | 0.045 | 0.049 | 0.005 | 0.58 | 0.113 | 0.117 | 0.005 | 0.60 | 0.180 | 0.184 | 0.005 | 0.59 | ||
8 | 20 | 141 | 25 | 0.049 | 0.093 | 0.044 | 0.55 | 0.122 | 0.215 | 0.092 | 0.62 | 0.195 | 0.318 | 0.122 | 0.61 | ||
9 | 17 | 145 | 26 | 0.042 | 0.054 | 0.013 | 0.58 | 0.105 | 0.190 | 0.085 | 0.59 | 0.168 | 0.279 | 0.111 | 0.63 | ||
10 | 16 | 111 | 25 | 0.045 | 0.066 | 0.021 | 0.45 | 0.112 | 0.152 | 0.040 | 0.47 | 0.180 | 0.234 | 0.054 | 0.47 | ||
Ave. | 17.60 | 141.50 | 25.90 | 0.044 | 0.066 | 0.022 | 0.53 | 0.111 | 0.150 | 0.039 | 0.56 | 0.177 | 0.226 | 0.049 | 0.58 | ||
Case 6 | |||||||||||||||||
1 | 17 | 125 | 19 | 0.054 | 0.065 | 0.011 | 0.31 | 0.136 | 0.147 | 0.011 | 0.32 | 0.217 | 0.228 | 0.011 | 0.31 | ||
2 | 17 | 164 | 28 | 0.043 | 0.080 | 0.037 | 0.58 | 0.108 | 0.170 | 0.061 | 0.62 | 0.173 | 0.248 | 0.074 | 0.63 | ||
3 | 18 | 168 | 27 | 0.041 | 0.065 | 0.024 | 0.62 | 0.103 | 0.153 | 0.049 | 0.67 | 0.166 | 0.240 | 0.075 | 0.65 | ||
4 | 17 | 138 | 24 | 0.053 | 0.083 | 0.030 | 0.47 | 0.133 | 0.162 | 0.029 | 0.49 | 0.212 | 0.240 | 0.028 | 0.48 | ||
5 | 18 | 139 | 25 | 0.044 | 0.064 | 0.020 | 0.56 | 0.110 | 0.156 | 0.046 | 0.57 | 0.175 | 0.214 | 0.038 | 0.56 | ||
6 | 18 | 130 | 25 | 0.044 | 0.055 | 0.011 | 0.52 | 0.110 | 0.122 | 0.013 | 0.56 | 0.175 | 0.188 | 0.013 | 0.53 | ||
7 | 16 | 130 | 24 | 0.054 | 0.090 | 0.037 | 0.49 | 0.134 | 0.202 | 0.068 | 0.47 | 0.215 | 0.314 | 0.100 | 0.50 | ||
8 | 17 | 149 | 26 | 0.047 | 0.069 | 0.022 | 0.56 | 0.119 | 0.155 | 0.036 | 0.57 | 0.191 | 0.241 | 0.050 | 0.62 | ||
9 | 17 | 120 | 27 | 0.051 | 0.106 | 0.055 | 0.50 | 0.129 | 0.186 | 0.057 | 0.57 | 0.207 | 0.265 | 0.058 | 0.58 | ||
10 | 18 | 124 | 26 | 0.046 | 0.084 | 0.038 | 0.53 | 0.116 | 0.147 | 0.031 | 0.56 | 0.185 | 0.240 | 0.055 | 0.58 | ||
Ave. | 17.30 | 138.70 | 25.10 | 0.048 | 0.076 | 0.028 | 0.51 | 0.120 | 0.160 | 0.040 | 0.54 | 0.192 | 0.242 | 0.050 | 0.54 |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 16 | 113 | 27 | 0.047 | 0.116 | 0.069 | 0.50 | 0.116 | 0.200 | 0.084 | 0.52 | 0.186 | 0.281 | 0.095 | 0.56 | ||
2 | 20 | 122 | 24 | 0.049 | 0.065 | 0.016 | 0.56 | 0.122 | 0.138 | 0.016 | 0.56 | 0.195 | 0.210 | 0.015 | 0.55 | ||
3 | 15 | 118 | 24 | 0.048 | 0.074 | 0.026 | 0.43 | 0.121 | 0.146 | 0.025 | 0.47 | 0.194 | 0.218 | 0.024 | 0.45 | ||
4 | 19 | 165 | 28 | 0.043 | 0.085 | 0.042 | 0.70 | 0.106 | 0.202 | 0.096 | 0.70 | 0.170 | 0.323 | 0.153 | 0.71 | ||
5 | 16 | 104 | 26 | 0.049 | 0.051 | 0.002 | 0.47 | 0.125 | 0.127 | 0.002 | 0.53 | 0.200 | 0.202 | 0.002 | 0.51 | ||
6 | 19 | 146 | 28 | 0.045 | 0.053 | 0.008 | 0.65 | 0.112 | 0.120 | 0.008 | 0.66 | 0.179 | 0.187 | 0.008 | 0.67 | ||
7 | 17 | 133 | 26 | 0.044 | 0.089 | 0.045 | 0.53 | 0.111 | 0.183 | 0.072 | 0.56 | 0.177 | 0.246 | 0.068 | 0.54 | ||
8 | 19 | 136 | 26 | 0.046 | 0.070 | 0.024 | 0.58 | 0.115 | 0.152 | 0.037 | 0.58 | 0.183 | 0.234 | 0.051 | 0.61 | ||
9 | 18 | 106 | 26 | 0.047 | 0.078 | 0.032 | 0.50 | 0.118 | 0.158 | 0.041 | 0.53 | 0.188 | 0.228 | 0.040 | 0.54 | ||
10 | 18 | 121 | 24 | 0.052 | 0.108 | 0.056 | 0.47 | 0.131 | 0.204 | 0.073 | 0.51 | 0.209 | 0.280 | 0.071 | 0.50 | ||
Ave. | 17.70 | 126.40 | 25.90 | 0.047 | 0.079 | 0.032 | 0.54 | 0.118 | 0.163 | 0.045 | 0.56 | 0.188 | 0.241 | 0.053 | 0.56 | ||
Case 2 | |||||||||||||||||
1 | 17 | 114 | 22 | 0.050 | 0.082 | 0.032 | 0.41 | 0.125 | 0.200 | 0.075 | 0.42 | 0.201 | 0.307 | 0.106 | 0.45 | ||
2 | 19 | 174 | 26 | 0.048 | 0.080 | 0.032 | 0.60 | 0.120 | 0.152 | 0.032 | 0.64 | 0.191 | 0.224 | 0.032 | 0.62 | ||
3 | 18 | 147 | 25 | 0.052 | 0.173 | 0.121 | 0.54 | 0.130 | 0.280 | 0.151 | 0.58 | 0.207 | 0.367 | 0.160 | 0.58 | ||
4 | 18 | 122 | 20 | 0.052 | 0.079 | 0.027 | 0.36 | 0.131 | 0.173 | 0.043 | 0.35 | 0.209 | 0.252 | 0.043 | 0.36 | ||
5 | 17 | 121 | 26 | 0.048 | 0.122 | 0.074 | 0.50 | 0.121 | 0.223 | 0.102 | 0.55 | 0.194 | 0.322 | 0.128 | 0.56 | ||
6 | 18 | 164 | 27 | 0.044 | 0.071 | 0.027 | 0.61 | 0.110 | 0.138 | 0.028 | 0.63 | 0.177 | 0.205 | 0.028 | 0.65 | ||
7 | 15 | 114 | 25 | 0.044 | 0.070 | 0.025 | 0.46 | 0.112 | 0.137 | 0.025 | 0.45 | 0.180 | 0.204 | 0.024 | 0.49 | ||
8 | 16 | 143 | 26 | 0.047 | 0.076 | 0.030 | 0.48 | 0.117 | 0.144 | 0.027 | 0.53 | 0.187 | 0.215 | 0.028 | 0.54 | ||
9 | 17 | 147 | 26 | 0.047 | 0.065 | 0.018 | 0.55 | 0.118 | 0.135 | 0.017 | 0.58 | 0.188 | 0.205 | 0.017 | 0.57 | ||
10 | 18 | 123 | 24 | 0.045 | 0.078 | 0.033 | 0.47 | 0.112 | 0.159 | 0.046 | 0.48 | 0.180 | 0.234 | 0.054 | 0.46 | ||
Ave. | 17.30 | 136.90 | 24.70 | 0.048 | 0.090 | 0.042 | 0.50 | 0.120 | 0.174 | 0.055 | 0.52 | 0.191 | 0.253 | 0.062 | 0.53 | ||
Case 3 | |||||||||||||||||
1 | 17 | 147 | 24 | 0.047 | 0.092 | 0.045 | 0.50 | 0.117 | 0.162 | 0.044 | 0.49 | 0.188 | 0.231 | 0.043 | 0.52 | ||
2 | 17 | 109 | 24 | 0.045 | 0.129 | 0.084 | 0.38 | 0.112 | 0.206 | 0.095 | 0.41 | 0.179 | 0.265 | 0.086 | 0.45 | ||
3 | 18 | 181 | 27 | 0.048 | 0.057 | 0.009 | 0.47 | 0.120 | 0.129 | 0.009 | 0.60 | 0.192 | 0.201 | 0.009 | 0.61 | ||
4 | 17 | 141 | 24 | 0.049 | 0.126 | 0.077 | 0.47 | 0.122 | 0.216 | 0.094 | 0.49 | 0.195 | 0.316 | 0.121 | 0.48 | ||
5 | 17 | 103 | 22 | 0.060 | 0.107 | 0.048 | 0.39 | 0.149 | 0.195 | 0.046 | 0.43 | 0.239 | 0.282 | 0.043 | 0.45 | ||
6 | 20 | 189 | 26 | 0.046 | 0.058 | 0.012 | 0.59 | 0.115 | 0.136 | 0.020 | 0.67 | 0.185 | 0.206 | 0.021 | 0.68 | ||
7 | 17 | 123 | 27 | 0.043 | 0.077 | 0.034 | 0.52 | 0.110 | 0.142 | 0.033 | 0.53 | 0.175 | 0.207 | 0.031 | 0.54 | ||
8 | 16 | 109 | 23 | 0.057 | 0.133 | 0.075 | 0.42 | 0.144 | 0.235 | 0.092 | 0.44 | 0.230 | 0.338 | 0.108 | 0.43 | ||
9 | 17 | 145 | 24 | 0.046 | 0.072 | 0.026 | 0.48 | 0.115 | 0.169 | 0.054 | 0.48 | 0.184 | 0.275 | 0.091 | 0.50 | ||
10 | 17 | 164 | 28 | 0.045 | 0.063 | 0.018 | 0.61 | 0.112 | 0.130 | 0.018 | 0.63 | 0.179 | 0.197 | 0.018 | 0.63 | ||
Ave. | 17.30 | 141.10 | 24.90 | 0.049 | 0.091 | 0.043 | 0.48 | 0.122 | 0.172 | 0.050 | 0.52 | 0.195 | 0.252 | 0.057 | 0.53 | ||
Case 4 | |||||||||||||||||
1 | 17 | 157 | 27 | 0.038 | 0.084 | 0.046 | 0.58 | 0.094 | 0.161 | 0.067 | 0.59 | 0.151 | 0.228 | 0.077 | 0.59 | ||
2 | 19 | 110 | 26 | 0.052 | 0.065 | 0.013 | 0.53 | 0.130 | 0.143 | 0.012 | 0.57 | 0.209 | 0.220 | 0.012 | 0.58 | ||
3 | 16 | 100 | 24 | 0.055 | 0.076 | 0.020 | 0.39 | 0.139 | 0.168 | 0.029 | 0.46 | 0.222 | 0.250 | 0.028 | 0.51 | ||
4 | 17 | 136 | 26 | 0.046 | 0.057 | 0.011 | 0.57 | 0.115 | 0.139 | 0.024 | 0.58 | 0.184 | 0.213 | 0.030 | 0.56 | ||
5 | 19 | 125 | 23 | 0.051 | 0.073 | 0.022 | 0.49 | 0.130 | 0.173 | 0.044 | 0.52 | 0.207 | 0.267 | 0.059 | 0.53 | ||
6 | 16 | 111 | 25 | 0.048 | 0.065 | 0.018 | 0.42 | 0.120 | 0.137 | 0.017 | 0.44 | 0.191 | 0.208 | 0.017 | 0.45 | ||
7 | 18 | 117 | 25 | 0.047 | 0.056 | 0.009 | 0.51 | 0.117 | 0.126 | 0.009 | 0.55 | 0.188 | 0.197 | 0.010 | 0.55 | ||
8 | 17 | 107 | 26 | 0.052 | 0.090 | 0.038 | 0.53 | 0.130 | 0.168 | 0.037 | 0.55 | 0.209 | 0.245 | 0.036 | 0.55 | ||
9 | 17 | 159 | 26 | 0.048 | 0.053 | 0.005 | 0.44 | 0.120 | 0.126 | 0.006 | 0.50 | 0.192 | 0.198 | 0.006 | 0.52 | ||
10 | 18 | 105 | 24 | 0.050 | 0.095 | 0.045 | 0.45 | 0.125 | 0.169 | 0.044 | 0.48 | 0.200 | 0.242 | 0.042 | 0.46 | ||
Ave. | 17.40 | 122.70 | 25.20 | 0.049 | 0.071 | 0.023 | 0.49 | 0.122 | 0.151 | 0.029 | 0.52 | 0.195 | 0.227 | 0.032 | 0.53 | ||
Case 5 | |||||||||||||||||
1 | 17 | 155 | 27 | 0.039 | 0.059 | 0.020 | 0.61 | 0.098 | 0.130 | 0.031 | 0.62 | 0.157 | 0.200 | 0.043 | 0.65 | ||
2 | 17 | 135 | 27 | 0.038 | 0.104 | 0.066 | 0.49 | 0.095 | 0.163 | 0.068 | 0.54 | 0.152 | 0.222 | 0.069 | 0.54 | ||
3 | 18 | 103 | 24 | 0.050 | 0.070 | 0.020 | 0.31 | 0.125 | 0.146 | 0.021 | 0.45 | 0.200 | 0.223 | 0.023 | 0.46 | ||
4 | 16 | 168 | 28 | 0.040 | 0.064 | 0.023 | 0.61 | 0.101 | 0.137 | 0.036 | 0.62 | 0.162 | 0.210 | 0.048 | 0.63 | ||
5 | 18 | 139 | 27 | 0.044 | 0.051 | 0.008 | 0.61 | 0.110 | 0.117 | 0.007 | 0.61 | 0.175 | 0.183 | 0.007 | 0.65 | ||
6 | 19 | 171 | 24 | 0.051 | 0.055 | 0.004 | 0.51 | 0.128 | 0.132 | 0.004 | 0.53 | 0.205 | 0.209 | 0.004 | 0.55 | ||
7 | 18 | 147 | 26 | 0.045 | 0.049 | 0.005 | 0.58 | 0.113 | 0.117 | 0.005 | 0.60 | 0.180 | 0.184 | 0.005 | 0.59 | ||
8 | 20 | 141 | 25 | 0.049 | 0.093 | 0.044 | 0.55 | 0.122 | 0.215 | 0.092 | 0.62 | 0.195 | 0.318 | 0.122 | 0.61 | ||
9 | 17 | 145 | 26 | 0.042 | 0.054 | 0.013 | 0.58 | 0.105 | 0.190 | 0.085 | 0.59 | 0.168 | 0.279 | 0.111 | 0.63 | ||
10 | 16 | 111 | 25 | 0.045 | 0.066 | 0.021 | 0.45 | 0.112 | 0.152 | 0.040 | 0.47 | 0.180 | 0.234 | 0.054 | 0.47 | ||
Ave. | 17.60 | 141.50 | 25.90 | 0.044 | 0.066 | 0.022 | 0.53 | 0.111 | 0.150 | 0.039 | 0.56 | 0.177 | 0.226 | 0.049 | 0.58 | ||
Case 6 | |||||||||||||||||
1 | 17 | 125 | 19 | 0.054 | 0.065 | 0.011 | 0.31 | 0.136 | 0.147 | 0.011 | 0.32 | 0.217 | 0.228 | 0.011 | 0.31 | ||
2 | 17 | 164 | 28 | 0.043 | 0.080 | 0.037 | 0.58 | 0.108 | 0.170 | 0.061 | 0.62 | 0.173 | 0.248 | 0.074 | 0.63 | ||
3 | 18 | 168 | 27 | 0.041 | 0.065 | 0.024 | 0.62 | 0.103 | 0.153 | 0.049 | 0.67 | 0.166 | 0.240 | 0.075 | 0.65 | ||
4 | 17 | 138 | 24 | 0.053 | 0.083 | 0.030 | 0.47 | 0.133 | 0.162 | 0.029 | 0.49 | 0.212 | 0.240 | 0.028 | 0.48 | ||
5 | 18 | 139 | 25 | 0.044 | 0.064 | 0.020 | 0.56 | 0.110 | 0.156 | 0.046 | 0.57 | 0.175 | 0.214 | 0.038 | 0.56 | ||
6 | 18 | 130 | 25 | 0.044 | 0.055 | 0.011 | 0.52 | 0.110 | 0.122 | 0.013 | 0.56 | 0.175 | 0.188 | 0.013 | 0.53 | ||
7 | 16 | 130 | 24 | 0.054 | 0.090 | 0.037 | 0.49 | 0.134 | 0.202 | 0.068 | 0.47 | 0.215 | 0.314 | 0.100 | 0.50 | ||
8 | 17 | 149 | 26 | 0.047 | 0.069 | 0.022 | 0.56 | 0.119 | 0.155 | 0.036 | 0.57 | 0.191 | 0.241 | 0.050 | 0.62 | ||
9 | 17 | 120 | 27 | 0.051 | 0.106 | 0.055 | 0.50 | 0.129 | 0.186 | 0.057 | 0.57 | 0.207 | 0.265 | 0.058 | 0.58 | ||
10 | 18 | 124 | 26 | 0.046 | 0.084 | 0.038 | 0.53 | 0.116 | 0.147 | 0.031 | 0.56 | 0.185 | 0.240 | 0.055 | 0.58 | ||
Ave. | 17.30 | 138.70 | 25.10 | 0.048 | 0.076 | 0.028 | 0.51 | 0.120 | 0.160 | 0.040 | 0.54 | 0.192 | 0.242 | 0.050 | 0.54 |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 16 | 137 | 28 | 0.055 | 0.089 | 0.034 | 0.71 | 0.137 | 0.198 | 0.061 | 0.74 | 0.220 | 0.289 | 0.069 | 0.75 | ||
2 | 18 | 133 | 27 | 0.053 | 0.103 | 0.049 | 0.71 | 0.134 | 0.203 | 0.068 | 0.75 | 0.215 | 0.284 | 0.069 | 0.73 | ||
3 | 17 | 105 | 25 | 0.051 | 0.077 | 0.026 | 0.57 | 0.128 | 0.180 | 0.052 | 0.60 | 0.205 | 0.254 | 0.050 | 0.60 | ||
4 | 17 | 115 | 27 | 0.047 | 0.066 | 0.019 | 0.66 | 0.118 | 0.140 | 0.023 | 0.69 | 0.188 | 0.210 | 0.023 | 0.72 | ||
5 | 17 | 148 | 28 | 0.050 | 0.101 | 0.051 | 0.75 | 0.126 | 0.176 | 0.050 | 0.79 | 0.201 | 0.249 | 0.048 | 0.75 | ||
6 | 16 | 105 | 24 | 0.057 | 0.108 | 0.052 | 0.54 | 0.143 | 0.216 | 0.073 | 0.63 | 0.228 | 0.314 | 0.086 | 0.57 | ||
7 | 18 | 115 | 24 | 0.057 | 0.129 | 0.072 | 0.59 | 0.143 | 0.217 | 0.074 | 0.65 | 0.228 | 0.316 | 0.087 | 0.62 | ||
8 | 16 | 122 | 26 | 0.059 | 0.081 | 0.021 | 0.62 | 0.149 | 0.170 | 0.021 | 0.64 | 0.239 | 0.259 | 0.020 | 0.64 | ||
9 | 18 | 167 | 27 | 0.048 | 0.088 | 0.040 | 0.78 | 0.119 | 0.158 | 0.040 | 0.79 | 0.190 | 0.229 | 0.039 | 0.77 | ||
10 | 19 | 117 | 26 | 0.059 | 0.136 | 0.077 | 0.72 | 0.147 | 0.242 | 0.094 | 0.89 | 0.236 | 0.348 | 0.112 | 0.76 | ||
Ave. | 17.20 | 126.40 | 26.20 | 0.054 | 0.098 | 0.044 | 0.67 | 0.134 | 0.190 | 0.056 | 0.72 | 0.215 | 0.275 | 0.060 | 0.69 | ||
Case 2 | |||||||||||||||||
1 | 21 | 162 | 24 | 0.064 | 0.105 | 0.041 | 0.67 | 0.159 | 0.214 | 0.056 | 0.74 | 0.254 | 0.314 | 0.060 | 0.72 | ||
2 | 21 | 124 | 24 | 0.062 | 0.110 | 0.048 | 0.69 | 0.155 | 0.214 | 0.059 | 0.72 | 0.248 | 0.305 | 0.057 | 0.69 | ||
3 | 18 | 116 | 24 | 0.065 | 0.189 | 0.124 | 0.60 | 0.163 | 0.322 | 0.159 | 0.63 | 0.261 | 0.429 | 0.169 | 0.64 | ||
4 | 22 | 173 | 27 | 0.056 | 0.068 | 0.012 | 0.76 | 0.140 | 0.152 | 0.012 | 0.84 | 0.224 | 0.236 | 0.012 | 0.81 | ||
5 | 16 | 136 | 26 | 0.048 | 0.097 | 0.049 | 0.61 | 0.119 | 0.170 | 0.051 | 0.64 | 0.191 | 0.241 | 0.050 | 0.61 | ||
6 | 22 | 167 | 26 | 0.051 | 0.072 | 0.021 | 0.84 | 0.127 | 0.160 | 0.033 | 0.86 | 0.204 | 0.253 | 0.049 | 0.85 | ||
7 | 18 | 104 | 25 | 0.068 | 0.119 | 0.051 | 0.48 | 0.170 | 0.220 | 0.050 | 0.57 | 0.272 | 0.321 | 0.050 | 0.60 | ||
8 | 18 | 137 | 25 | 0.058 | 0.098 | 0.041 | 0.62 | 0.144 | 0.201 | 0.058 | 0.65 | 0.230 | 0.302 | 0.072 | 0.64 | ||
9 | 19 | 96 | 27 | 0.056 | 0.113 | 0.057 | 0.71 | 0.139 | 0.227 | 0.088 | 0.82 | 0.222 | 0.322 | 0.100 | 0.74 | ||
10 | 19 | 128 | 28 | 0.050 | 0.070 | 0.020 | 0.84 | 0.125 | 0.159 | 0.034 | 0.89 | 0.200 | 0.246 | 0.046 | 0.88 | ||
Ave. | 19.40 | 134.30 | 25.60 | 0.058 | 0.104 | 0.047 | 0.68 | 0.144 | 0.204 | 0.060 | 0.74 | 0.231 | 0.297 | 0.066 | 0.72 | ||
Case 3 | |||||||||||||||||
1 | 20 | 147 | 23 | 0.064 | 0.148 | 0.084 | 0.62 | 0.160 | 0.257 | 0.097 | 0.63 | 0.255 | 0.345 | 0.090 | 0.62 | ||
2 | 20 | 136 | 28 | 0.051 | 0.075 | 0.024 | 0.71 | 0.128 | 0.165 | 0.036 | 0.85 | 0.205 | 0.253 | 0.048 | 0.85 | ||
3 | 22 | 141 | 25 | 0.061 | 0.096 | 0.035 | 0.74 | 0.153 | 0.187 | 0.034 | 0.80 | 0.245 | 0.278 | 0.033 | 0.79 | ||
4 | 19 | 172 | 26 | 0.056 | 0.145 | 0.089 | 0.72 | 0.141 | 0.291 | 0.151 | 0.77 | 0.225 | 0.383 | 0.158 | 0.75 | ||
5 | 19 | 138 | 26 | 0.052 | 0.084 | 0.031 | 0.73 | 0.132 | 0.189 | 0.058 | 0.75 | 0.210 | 0.295 | 0.085 | 0.73 | ||
6 | 21 | 160 | 28 | 0.044 | 0.056 | 0.012 | 0.84 | 0.109 | 0.124 | 0.015 | 0.89 | 0.175 | 0.190 | 0.014 | 0.90 | ||
7 | 18 | 105 | 18 | 0.071 | 0.123 | 0.052 | 0.35 | 0.178 | 0.255 | 0.077 | 0.37 | 0.284 | 0.362 | 0.078 | 0.37 | ||
8 | 19 | 143 | 25 | 0.062 | 0.091 | 0.029 | 0.62 | 0.156 | 0.184 | 0.028 | 0.68 | 0.249 | 0.277 | 0.027 | 0.67 | ||
9 | 18 | 140 | 25 | 0.056 | 0.065 | 0.010 | 0.66 | 0.141 | 0.151 | 0.010 | 0.68 | 0.225 | 0.236 | 0.011 | 0.65 | ||
10 | 22 | 136 | 23 | 0.062 | 0.112 | 0.050 | 0.66 | 0.155 | 0.239 | 0.084 | 0.68 | 0.248 | 0.336 | 0.088 | 0.67 | ||
Ave. | 19.80 | 141.80 | 24.70 | 0.058 | 0.099 | 0.042 | 0.67 | 0.145 | 0.204 | 0.059 | 0.71 | 0.232 | 0.295 | 0.063 | 0.70 | ||
Case 4 | |||||||||||||||||
1 | 21 | 109 | 24 | 0.056 | 0.088 | 0.032 | 0.68 | 0.140 | 0.187 | 0.047 | 0.73 | 0.224 | 0.284 | 0.060 | 0.70 | ||
2 | 18 | 123 | 27 | 0.053 | 0.091 | 0.038 | 0.72 | 0.132 | 0.169 | 0.037 | 0.76 | 0.211 | 0.247 | 0.036 | 0.80 | ||
3 | 21 | 127 | 25 | 0.062 | 0.077 | 0.015 | 0.66 | 0.156 | 0.170 | 0.014 | 0.71 | 0.249 | 0.263 | 0.014 | 0.74 | ||
4 | 20 | 119 | 25 | 0.051 | 0.078 | 0.027 | 0.69 | 0.130 | 0.177 | 0.048 | 0.74 | 0.208 | 0.271 | 0.063 | 0.71 | ||
5 | 19 | 126 | 27 | 0.051 | 0.067 | 0.016 | 0.74 | 0.129 | 0.147 | 0.018 | 0.82 | 0.207 | 0.224 | 0.017 | 0.80 | ||
6 | 21 | 99 | 25 | 0.052 | 0.131 | 0.078 | 0.62 | 0.131 | 0.207 | 0.075 | 0.67 | 0.210 | 0.282 | 0.072 | 0.68 | ||
7 | 19 | 103 | 24 | 0.059 | 0.102 | 0.043 | 0.59 | 0.148 | 0.206 | 0.059 | 0.66 | 0.236 | 0.312 | 0.076 | 0.65 | ||
8 | 20 | 150 | 25 | 0.058 | 0.072 | 0.014 | 0.74 | 0.146 | 0.183 | 0.036 | 0.80 | 0.234 | 0.286 | 0.052 | 0.77 | ||
9 | 21 | 137 | 27 | 0.052 | 0.056 | 0.004 | 0.80 | 0.131 | 0.135 | 0.004 | 0.89 | 0.210 | 0.214 | 0.004 | 0.85 | ||
10 | 22 | 170 | 28 | 0.045 | 0.075 | 0.030 | 0.91 | 0.112 | 0.141 | 0.029 | 0.93 | 0.180 | 0.208 | 0.028 | 0.93 | ||
Ave. | 20.20 | 126.30 | 25.70 | 0.054 | 0.084 | 0.030 | 0.72 | 0.136 | 0.172 | 0.037 | 0.77 | 0.217 | 0.259 | 0.042 | 0.76 | ||
Case 5 | |||||||||||||||||
1 | 18 | 121 | 23 | 0.062 | 0.082 | 0.019 | 0.55 | 0.156 | 0.175 | 0.019 | 0.68 | 0.249 | 0.267 | 0.018 | 0.56 | ||
2 | 18 | 186 | 28 | 0.047 | 0.075 | 0.028 | 0.83 | 0.119 | 0.148 | 0.029 | 0.92 | 0.190 | 0.218 | 0.028 | 0.86 | ||
3 | 22 | 137 | 27 | 0.048 | 0.089 | 0.041 | 0.86 | 0.119 | 0.182 | 0.063 | 0.96 | 0.190 | 0.268 | 0.077 | 0.92 | ||
4 | 18 | 142 | 26 | 0.054 | 0.091 | 0.037 | 0.67 | 0.137 | 0.191 | 0.054 | 0.73 | 0.220 | 0.271 | 0.051 | 0.70 | ||
5 | 20 | 138 | 26 | 0.050 | 0.055 | 0.005 | 0.75 | 0.126 | 0.132 | 0.005 | 0.78 | 0.203 | 0.208 | 0.006 | 0.77 | ||
6 | 18 | 106 | 25 | 0.059 | 0.111 | 0.052 | 0.56 | 0.150 | 0.199 | 0.049 | 0.62 | 0.240 | 0.287 | 0.047 | 0.60 | ||
7 | 21 | 135 | 27 | 0.052 | 0.090 | 0.038 | 0.66 | 0.130 | 0.165 | 0.035 | 0.84 | 0.208 | 0.243 | 0.035 | 0.83 | ||
8 | 18 | 140 | 28 | 0.046 | 0.060 | 0.014 | 0.74 | 0.116 | 0.130 | 0.014 | 0.79 | 0.186 | 0.199 | 0.013 | 0.82 | ||
9 | 19 | 117 | 26 | 0.054 | 0.081 | 0.026 | 0.71 | 0.136 | 0.177 | 0.041 | 0.72 | 0.218 | 0.272 | 0.055 | 0.74 | ||
10 | 18 | 119 | 27 | 0.056 | 0.074 | 0.018 | 0.76 | 0.141 | 0.174 | 0.033 | 0.78 | 0.226 | 0.274 | 0.048 | 0.81 | ||
Ave. | 19.00 | 134.10 | 26.30 | 0.053 | 0.081 | 0.028 | 0.71 | 0.133 | 0.167 | 0.034 | 0.78 | 0.213 | 0.251 | 0.038 | 0.76 | ||
Case 6 | |||||||||||||||||
1 | 20 | 119 | 25 | 0.055 | 0.084 | 0.029 | 0.62 | 0.138 | 0.185 | 0.046 | 0.67 | 0.220 | 0.281 | 0.061 | 0.69 | ||
2 | 21 | 162 | 25 | 0.049 | 0.059 | 0.010 | 0.71 | 0.124 | 0.147 | 0.023 | 0.73 | 0.197 | 0.221 | 0.023 | 0.72 | ||
3 | 20 | 127 | 26 | 0.051 | 0.071 | 0.020 | 0.72 | 0.128 | 0.176 | 0.048 | 0.76 | 0.205 | 0.265 | 0.060 | 0.78 | ||
4 | 19 | 162 | 28 | 0.056 | 0.074 | 0.019 | 0.68 | 0.140 | 0.159 | 0.019 | 0.81 | 0.224 | 0.242 | 0.019 | 0.82 | ||
5 | 17 | 116 | 24 | 0.056 | 0.078 | 0.022 | 0.52 | 0.141 | 0.162 | 0.021 | 0.55 | 0.226 | 0.246 | 0.021 | 0.59 | ||
6 | 18 | 138 | 26 | 0.062 | 0.166 | 0.105 | 0.68 | 0.154 | 0.285 | 0.132 | 0.70 | 0.246 | 0.392 | 0.146 | 0.70 | ||
7 | 20 | 165 | 28 | 0.046 | 0.081 | 0.035 | 0.91 | 0.115 | 0.186 | 0.071 | 0.89 | 0.184 | 0.297 | 0.114 | 0.89 | ||
8 | 19 | 117 | 26 | 0.049 | 0.062 | 0.013 | 0.66 | 0.122 | 0.147 | 0.026 | 0.69 | 0.195 | 0.226 | 0.030 | 0.71 | ||
9 | 18 | 151 | 28 | 0.044 | 0.087 | 0.043 | 0.68 | 0.111 | 0.164 | 0.053 | 0.75 | 0.177 | 0.240 | 0.063 | 0.77 | ||
10 | 20 | 123 | 26 | 0.061 | 0.130 | 0.069 | 0.72 | 0.154 | 0.253 | 0.099 | 0.74 | 0.246 | 0.360 | 0.114 | 0.81 | ||
Ave. | 19.20 | 138.00 | 26.20 | 0.053 | 0.089 | 0.036 | 0.69 | 0.133 | 0.186 | 0.054 | 0.73 | 0.212 | 0.277 | 0.065 | 0.75 |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 16 | 137 | 28 | 0.055 | 0.089 | 0.034 | 0.71 | 0.137 | 0.198 | 0.061 | 0.74 | 0.220 | 0.289 | 0.069 | 0.75 | ||
2 | 18 | 133 | 27 | 0.053 | 0.103 | 0.049 | 0.71 | 0.134 | 0.203 | 0.068 | 0.75 | 0.215 | 0.284 | 0.069 | 0.73 | ||
3 | 17 | 105 | 25 | 0.051 | 0.077 | 0.026 | 0.57 | 0.128 | 0.180 | 0.052 | 0.60 | 0.205 | 0.254 | 0.050 | 0.60 | ||
4 | 17 | 115 | 27 | 0.047 | 0.066 | 0.019 | 0.66 | 0.118 | 0.140 | 0.023 | 0.69 | 0.188 | 0.210 | 0.023 | 0.72 | ||
5 | 17 | 148 | 28 | 0.050 | 0.101 | 0.051 | 0.75 | 0.126 | 0.176 | 0.050 | 0.79 | 0.201 | 0.249 | 0.048 | 0.75 | ||
6 | 16 | 105 | 24 | 0.057 | 0.108 | 0.052 | 0.54 | 0.143 | 0.216 | 0.073 | 0.63 | 0.228 | 0.314 | 0.086 | 0.57 | ||
7 | 18 | 115 | 24 | 0.057 | 0.129 | 0.072 | 0.59 | 0.143 | 0.217 | 0.074 | 0.65 | 0.228 | 0.316 | 0.087 | 0.62 | ||
8 | 16 | 122 | 26 | 0.059 | 0.081 | 0.021 | 0.62 | 0.149 | 0.170 | 0.021 | 0.64 | 0.239 | 0.259 | 0.020 | 0.64 | ||
9 | 18 | 167 | 27 | 0.048 | 0.088 | 0.040 | 0.78 | 0.119 | 0.158 | 0.040 | 0.79 | 0.190 | 0.229 | 0.039 | 0.77 | ||
10 | 19 | 117 | 26 | 0.059 | 0.136 | 0.077 | 0.72 | 0.147 | 0.242 | 0.094 | 0.89 | 0.236 | 0.348 | 0.112 | 0.76 | ||
Ave. | 17.20 | 126.40 | 26.20 | 0.054 | 0.098 | 0.044 | 0.67 | 0.134 | 0.190 | 0.056 | 0.72 | 0.215 | 0.275 | 0.060 | 0.69 | ||
Case 2 | |||||||||||||||||
1 | 21 | 162 | 24 | 0.064 | 0.105 | 0.041 | 0.67 | 0.159 | 0.214 | 0.056 | 0.74 | 0.254 | 0.314 | 0.060 | 0.72 | ||
2 | 21 | 124 | 24 | 0.062 | 0.110 | 0.048 | 0.69 | 0.155 | 0.214 | 0.059 | 0.72 | 0.248 | 0.305 | 0.057 | 0.69 | ||
3 | 18 | 116 | 24 | 0.065 | 0.189 | 0.124 | 0.60 | 0.163 | 0.322 | 0.159 | 0.63 | 0.261 | 0.429 | 0.169 | 0.64 | ||
4 | 22 | 173 | 27 | 0.056 | 0.068 | 0.012 | 0.76 | 0.140 | 0.152 | 0.012 | 0.84 | 0.224 | 0.236 | 0.012 | 0.81 | ||
5 | 16 | 136 | 26 | 0.048 | 0.097 | 0.049 | 0.61 | 0.119 | 0.170 | 0.051 | 0.64 | 0.191 | 0.241 | 0.050 | 0.61 | ||
6 | 22 | 167 | 26 | 0.051 | 0.072 | 0.021 | 0.84 | 0.127 | 0.160 | 0.033 | 0.86 | 0.204 | 0.253 | 0.049 | 0.85 | ||
7 | 18 | 104 | 25 | 0.068 | 0.119 | 0.051 | 0.48 | 0.170 | 0.220 | 0.050 | 0.57 | 0.272 | 0.321 | 0.050 | 0.60 | ||
8 | 18 | 137 | 25 | 0.058 | 0.098 | 0.041 | 0.62 | 0.144 | 0.201 | 0.058 | 0.65 | 0.230 | 0.302 | 0.072 | 0.64 | ||
9 | 19 | 96 | 27 | 0.056 | 0.113 | 0.057 | 0.71 | 0.139 | 0.227 | 0.088 | 0.82 | 0.222 | 0.322 | 0.100 | 0.74 | ||
10 | 19 | 128 | 28 | 0.050 | 0.070 | 0.020 | 0.84 | 0.125 | 0.159 | 0.034 | 0.89 | 0.200 | 0.246 | 0.046 | 0.88 | ||
Ave. | 19.40 | 134.30 | 25.60 | 0.058 | 0.104 | 0.047 | 0.68 | 0.144 | 0.204 | 0.060 | 0.74 | 0.231 | 0.297 | 0.066 | 0.72 | ||
Case 3 | |||||||||||||||||
1 | 20 | 147 | 23 | 0.064 | 0.148 | 0.084 | 0.62 | 0.160 | 0.257 | 0.097 | 0.63 | 0.255 | 0.345 | 0.090 | 0.62 | ||
2 | 20 | 136 | 28 | 0.051 | 0.075 | 0.024 | 0.71 | 0.128 | 0.165 | 0.036 | 0.85 | 0.205 | 0.253 | 0.048 | 0.85 | ||
3 | 22 | 141 | 25 | 0.061 | 0.096 | 0.035 | 0.74 | 0.153 | 0.187 | 0.034 | 0.80 | 0.245 | 0.278 | 0.033 | 0.79 | ||
4 | 19 | 172 | 26 | 0.056 | 0.145 | 0.089 | 0.72 | 0.141 | 0.291 | 0.151 | 0.77 | 0.225 | 0.383 | 0.158 | 0.75 | ||
5 | 19 | 138 | 26 | 0.052 | 0.084 | 0.031 | 0.73 | 0.132 | 0.189 | 0.058 | 0.75 | 0.210 | 0.295 | 0.085 | 0.73 | ||
6 | 21 | 160 | 28 | 0.044 | 0.056 | 0.012 | 0.84 | 0.109 | 0.124 | 0.015 | 0.89 | 0.175 | 0.190 | 0.014 | 0.90 | ||
7 | 18 | 105 | 18 | 0.071 | 0.123 | 0.052 | 0.35 | 0.178 | 0.255 | 0.077 | 0.37 | 0.284 | 0.362 | 0.078 | 0.37 | ||
8 | 19 | 143 | 25 | 0.062 | 0.091 | 0.029 | 0.62 | 0.156 | 0.184 | 0.028 | 0.68 | 0.249 | 0.277 | 0.027 | 0.67 | ||
9 | 18 | 140 | 25 | 0.056 | 0.065 | 0.010 | 0.66 | 0.141 | 0.151 | 0.010 | 0.68 | 0.225 | 0.236 | 0.011 | 0.65 | ||
10 | 22 | 136 | 23 | 0.062 | 0.112 | 0.050 | 0.66 | 0.155 | 0.239 | 0.084 | 0.68 | 0.248 | 0.336 | 0.088 | 0.67 | ||
Ave. | 19.80 | 141.80 | 24.70 | 0.058 | 0.099 | 0.042 | 0.67 | 0.145 | 0.204 | 0.059 | 0.71 | 0.232 | 0.295 | 0.063 | 0.70 | ||
Case 4 | |||||||||||||||||
1 | 21 | 109 | 24 | 0.056 | 0.088 | 0.032 | 0.68 | 0.140 | 0.187 | 0.047 | 0.73 | 0.224 | 0.284 | 0.060 | 0.70 | ||
2 | 18 | 123 | 27 | 0.053 | 0.091 | 0.038 | 0.72 | 0.132 | 0.169 | 0.037 | 0.76 | 0.211 | 0.247 | 0.036 | 0.80 | ||
3 | 21 | 127 | 25 | 0.062 | 0.077 | 0.015 | 0.66 | 0.156 | 0.170 | 0.014 | 0.71 | 0.249 | 0.263 | 0.014 | 0.74 | ||
4 | 20 | 119 | 25 | 0.051 | 0.078 | 0.027 | 0.69 | 0.130 | 0.177 | 0.048 | 0.74 | 0.208 | 0.271 | 0.063 | 0.71 | ||
5 | 19 | 126 | 27 | 0.051 | 0.067 | 0.016 | 0.74 | 0.129 | 0.147 | 0.018 | 0.82 | 0.207 | 0.224 | 0.017 | 0.80 | ||
6 | 21 | 99 | 25 | 0.052 | 0.131 | 0.078 | 0.62 | 0.131 | 0.207 | 0.075 | 0.67 | 0.210 | 0.282 | 0.072 | 0.68 | ||
7 | 19 | 103 | 24 | 0.059 | 0.102 | 0.043 | 0.59 | 0.148 | 0.206 | 0.059 | 0.66 | 0.236 | 0.312 | 0.076 | 0.65 | ||
8 | 20 | 150 | 25 | 0.058 | 0.072 | 0.014 | 0.74 | 0.146 | 0.183 | 0.036 | 0.80 | 0.234 | 0.286 | 0.052 | 0.77 | ||
9 | 21 | 137 | 27 | 0.052 | 0.056 | 0.004 | 0.80 | 0.131 | 0.135 | 0.004 | 0.89 | 0.210 | 0.214 | 0.004 | 0.85 | ||
10 | 22 | 170 | 28 | 0.045 | 0.075 | 0.030 | 0.91 | 0.112 | 0.141 | 0.029 | 0.93 | 0.180 | 0.208 | 0.028 | 0.93 | ||
Ave. | 20.20 | 126.30 | 25.70 | 0.054 | 0.084 | 0.030 | 0.72 | 0.136 | 0.172 | 0.037 | 0.77 | 0.217 | 0.259 | 0.042 | 0.76 | ||
Case 5 | |||||||||||||||||
1 | 18 | 121 | 23 | 0.062 | 0.082 | 0.019 | 0.55 | 0.156 | 0.175 | 0.019 | 0.68 | 0.249 | 0.267 | 0.018 | 0.56 | ||
2 | 18 | 186 | 28 | 0.047 | 0.075 | 0.028 | 0.83 | 0.119 | 0.148 | 0.029 | 0.92 | 0.190 | 0.218 | 0.028 | 0.86 | ||
3 | 22 | 137 | 27 | 0.048 | 0.089 | 0.041 | 0.86 | 0.119 | 0.182 | 0.063 | 0.96 | 0.190 | 0.268 | 0.077 | 0.92 | ||
4 | 18 | 142 | 26 | 0.054 | 0.091 | 0.037 | 0.67 | 0.137 | 0.191 | 0.054 | 0.73 | 0.220 | 0.271 | 0.051 | 0.70 | ||
5 | 20 | 138 | 26 | 0.050 | 0.055 | 0.005 | 0.75 | 0.126 | 0.132 | 0.005 | 0.78 | 0.203 | 0.208 | 0.006 | 0.77 | ||
6 | 18 | 106 | 25 | 0.059 | 0.111 | 0.052 | 0.56 | 0.150 | 0.199 | 0.049 | 0.62 | 0.240 | 0.287 | 0.047 | 0.60 | ||
7 | 21 | 135 | 27 | 0.052 | 0.090 | 0.038 | 0.66 | 0.130 | 0.165 | 0.035 | 0.84 | 0.208 | 0.243 | 0.035 | 0.83 | ||
8 | 18 | 140 | 28 | 0.046 | 0.060 | 0.014 | 0.74 | 0.116 | 0.130 | 0.014 | 0.79 | 0.186 | 0.199 | 0.013 | 0.82 | ||
9 | 19 | 117 | 26 | 0.054 | 0.081 | 0.026 | 0.71 | 0.136 | 0.177 | 0.041 | 0.72 | 0.218 | 0.272 | 0.055 | 0.74 | ||
10 | 18 | 119 | 27 | 0.056 | 0.074 | 0.018 | 0.76 | 0.141 | 0.174 | 0.033 | 0.78 | 0.226 | 0.274 | 0.048 | 0.81 | ||
Ave. | 19.00 | 134.10 | 26.30 | 0.053 | 0.081 | 0.028 | 0.71 | 0.133 | 0.167 | 0.034 | 0.78 | 0.213 | 0.251 | 0.038 | 0.76 | ||
Case 6 | |||||||||||||||||
1 | 20 | 119 | 25 | 0.055 | 0.084 | 0.029 | 0.62 | 0.138 | 0.185 | 0.046 | 0.67 | 0.220 | 0.281 | 0.061 | 0.69 | ||
2 | 21 | 162 | 25 | 0.049 | 0.059 | 0.010 | 0.71 | 0.124 | 0.147 | 0.023 | 0.73 | 0.197 | 0.221 | 0.023 | 0.72 | ||
3 | 20 | 127 | 26 | 0.051 | 0.071 | 0.020 | 0.72 | 0.128 | 0.176 | 0.048 | 0.76 | 0.205 | 0.265 | 0.060 | 0.78 | ||
4 | 19 | 162 | 28 | 0.056 | 0.074 | 0.019 | 0.68 | 0.140 | 0.159 | 0.019 | 0.81 | 0.224 | 0.242 | 0.019 | 0.82 | ||
5 | 17 | 116 | 24 | 0.056 | 0.078 | 0.022 | 0.52 | 0.141 | 0.162 | 0.021 | 0.55 | 0.226 | 0.246 | 0.021 | 0.59 | ||
6 | 18 | 138 | 26 | 0.062 | 0.166 | 0.105 | 0.68 | 0.154 | 0.285 | 0.132 | 0.70 | 0.246 | 0.392 | 0.146 | 0.70 | ||
7 | 20 | 165 | 28 | 0.046 | 0.081 | 0.035 | 0.91 | 0.115 | 0.186 | 0.071 | 0.89 | 0.184 | 0.297 | 0.114 | 0.89 | ||
8 | 19 | 117 | 26 | 0.049 | 0.062 | 0.013 | 0.66 | 0.122 | 0.147 | 0.026 | 0.69 | 0.195 | 0.226 | 0.030 | 0.71 | ||
9 | 18 | 151 | 28 | 0.044 | 0.087 | 0.043 | 0.68 | 0.111 | 0.164 | 0.053 | 0.75 | 0.177 | 0.240 | 0.063 | 0.77 | ||
10 | 20 | 123 | 26 | 0.061 | 0.130 | 0.069 | 0.72 | 0.154 | 0.253 | 0.099 | 0.74 | 0.246 | 0.360 | 0.114 | 0.81 | ||
Ave. | 19.20 | 138.00 | 26.20 | 0.053 | 0.089 | 0.036 | 0.69 | 0.133 | 0.186 | 0.054 | 0.73 | 0.212 | 0.277 | 0.065 | 0.75 |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 22 | 127 | 27 | 0.054 | 0.123 | 0.069 | 1.04 | 0.135 | 0.215 | 0.080 | 1.09 | 0.216 | 0.296 | 0.080 | 1.01 | ||
2 | 20 | 153 | 29 | 0.050 | 0.092 | 0.042 | 1.05 | 0.125 | 0.177 | 0.052 | 1.06 | 0.200 | 0.262 | 0.063 | 1.07 | ||
3 | 20 | 146 | 29 | 0.057 | 0.095 | 0.038 | 1.18 | 0.142 | 0.205 | 0.063 | 1.20 | 0.227 | 0.315 | 0.088 | 1.22 | ||
4 | 17 | 144 | 29 | 0.061 | 0.111 | 0.050 | 0.92 | 0.155 | 0.203 | 0.048 | 0.96 | 0.248 | 0.294 | 0.046 | 0.97 | ||
5 | 19 | 111 | 29 | 0.048 | 0.058 | 0.010 | 0.94 | 0.121 | 0.131 | 0.011 | 1.17 | 0.193 | 0.205 | 0.011 | 1.03 | ||
6 | 17 | 97 | 27 | 0.060 | 0.112 | 0.052 | 0.82 | 0.149 | 0.211 | 0.062 | 0.82 | 0.239 | 0.313 | 0.074 | 0.80 | ||
7 | 20 | 105 | 25 | 0.068 | 0.126 | 0.058 | 0.67 | 0.172 | 0.231 | 0.059 | 0.79 | 0.275 | 0.333 | 0.057 | 0.77 | ||
8 | 18 | 143 | 28 | 0.060 | 0.118 | 0.057 | 0.91 | 0.150 | 0.207 | 0.057 | 0.97 | 0.241 | 0.296 | 0.055 | 0.96 | ||
9 | 20 | 115 | 26 | 0.057 | 0.095 | 0.038 | 0.90 | 0.097 | 0.161 | 0.064 | 0.92 | 0.230 | 0.324 | 0.094 | 0.92 | ||
10 | 20 | 136 | 28 | 0.053 | 0.078 | 0.025 | 1.03 | 0.134 | 0.196 | 0.062 | 1.08 | 0.214 | 0.289 | 0.075 | 1.09 | ||
Ave. | 19.30 | 127.70 | 27.70 | 0.057 | 0.101 | 0.044 | 0.95 | 0.138 | 0.194 | 0.056 | 1.01 | 0.228 | 0.293 | 0.064 | 0.98 | ||
Case 2 | |||||||||||||||||
1 | 17 | 110 | 27 | 0.056 | 0.081 | 0.025 | 0.82 | 0.140 | 0.179 | 0.039 | 0.87 | 0.224 | 0.263 | 0.038 | 0.91 | ||
2 | 24 | 153 | 27 | 0.063 | 0.120 | 0.057 | 1.15 | 0.157 | 0.232 | 0.075 | 1.18 | 0.250 | 0.339 | 0.088 | 1.28 | ||
3 | 21 | 110 | 26 | 0.069 | 0.098 | 0.029 | 0.93 | 0.172 | 0.203 | 0.030 | 0.97 | 0.275 | 0.304 | 0.029 | 0.99 | ||
4 | 22 | 115 | 25 | 0.074 | 0.117 | 0.043 | 0.88 | 0.184 | 0.225 | 0.041 | 0.94 | 0.296 | 0.335 | 0.039 | 1.01 | ||
5 | 12 | 92 | 29 | 0.060 | 0.066 | 0.005 | 0.47 | 0.152 | 0.137 | -0.015 | 0.47 | 0.243 | 0.201 | -0.042 | 0.48 | ||
6 | 21 | 135 | 24 | 0.061 | 0.100 | 0.038 | 0.77 | 0.155 | 0.192 | 0.037 | 0.79 | 0.247 | 0.282 | 0.036 | 0.80 | ||
7 | 19 | 128 | 28 | 0.058 | 0.081 | 0.023 | 0.99 | 0.145 | 0.173 | 0.027 | 1.00 | 0.233 | 0.260 | 0.026 | 1.00 | ||
8 | 21 | 114 | 27 | 0.062 | 0.100 | 0.037 | 0.91 | 0.158 | 0.208 | 0.051 | 1.02 | 0.252 | 0.302 | 0.050 | 0.98 | ||
9 | 23 | 101 | 23 | 0.065 | 0.092 | 0.027 | 0.72 | 0.163 | 0.190 | 0.027 | 0.78 | 0.260 | 0.287 | 0.027 | 0.77 | ||
10 | 20 | 151 | 24 | 0.068 | 0.119 | 0.050 | 0.80 | 0.172 | 0.225 | 0.053 | 0.81 | 0.274 | 0.324 | 0.050 | 0.78 | ||
Ave. | 20.00 | 120.90 | 26.00 | 0.064 | 0.097 | 0.034 | 0.84 | 0.160 | 0.196 | 0.037 | 0.88 | 0.256 | 0.290 | 0.034 | 0.90 | ||
Case 3 | |||||||||||||||||
1 | 21 | 152 | 28 | 0.057 | 0.079 | 0.023 | 1.13 | 0.143 | 0.178 | 0.035 | 1.13 | 0.229 | 0.264 | 0.035 | 1.15 | ||
2 | 21 | 149 | 27 | 0.054 | 0.096 | 0.042 | 1.08 | 0.135 | 0.184 | 0.049 | 1.11 | 0.216 | 0.281 | 0.065 | 1.05 | ||
3 | 16 | 117 | 26 | 0.060 | 0.118 | 0.057 | 0.72 | 0.152 | 0.266 | 0.113 | 0.74 | 0.243 | 0.369 | 0.126 | 0.74 | ||
4 | 21 | 145 | 24 | 0.065 | 0.108 | 0.043 | 0.86 | 0.162 | 0.207 | 0.046 | 0.84 | 0.258 | 0.301 | 0.043 | 0.88 | ||
5 | 15 | 114 | 28 | 0.068 | 0.125 | 0.057 | 0.80 | 0.171 | 0.239 | 0.069 | 0.85 | 0.273 | 0.342 | 0.069 | 0.84 | ||
6 | 16 | 158 | 25 | 0.057 | 0.063 | 0.006 | 0.73 | 0.143 | 0.150 | 0.007 | 0.74 | 0.229 | 0.236 | 0.007 | 0.74 | ||
7 | 19 | 128 | 25 | 0.069 | 0.150 | 0.081 | 0.76 | 0.174 | 0.252 | 0.078 | 0.79 | 0.277 | 0.352 | 0.075 | 0.77 | ||
8 | 18 | 160 | 26 | 0.058 | 0.074 | 0.016 | 0.85 | 0.144 | 0.160 | 0.016 | 0.86 | 0.230 | 0.246 | 0.015 | 0.84 | ||
9 | 20 | 134 | 26 | 0.064 | 0.119 | 0.055 | 0.89 | 0.162 | 0.215 | 0.053 | 0.89 | 0.259 | 0.310 | 0.051 | 0.88 | ||
10 | 21 | 147 | 27 | 0.055 | 0.083 | 0.028 | 0.99 | 0.139 | 0.167 | 0.028 | 1.01 | 0.222 | 0.252 | 0.029 | 0.98 | ||
Ave. | 18.80 | 140.40 | 26.20 | 0.061 | 0.101 | 0.041 | 0.88 | 0.152 | 0.202 | 0.049 | 0.90 | 0.244 | 0.295 | 0.051 | 0.89 | ||
Case 4 | |||||||||||||||||
1 | 23 | 99 | 24 | 0.065 | 0.097 | 0.031 | 0.76 | 0.163 | 0.192 | 0.029 | 0.85 | 0.262 | 0.290 | 0.028 | 0.86 | ||
2 | 22 | 130 | 28 | 0.056 | 0.093 | 0.037 | 1.16 | 0.141 | 0.179 | 0.039 | 1.17 | 0.225 | 0.262 | 0.037 | 1.18 | ||
3 | 18 | 115 | 27 | 0.061 | 0.097 | 0.036 | 0.82 | 0.151 | 0.187 | 0.036 | 0.84 | 0.242 | 0.278 | 0.035 | 0.84 | ||
4 | 24 | 130 | 27 | 0.068 | 0.111 | 0.043 | 1.13 | 0.171 | 0.216 | 0.045 | 1.19 | 0.273 | 0.316 | 0.043 | 1.21 | ||
5 | 23 | 111 | 25 | 0.058 | 0.077 | 0.019 | 0.85 | 0.147 | 0.166 | 0.018 | 0.93 | 0.235 | 0.253 | 0.018 | 0.95 | ||
6 | 20 | 128 | 26 | 0.056 | 0.084 | 0.028 | 0.88 | 0.141 | 0.169 | 0.028 | 0.94 | 0.225 | 0.252 | 0.027 | 0.93 | ||
7 | 20 | 104 | 25 | 0.067 | 0.099 | 0.032 | 0.84 | 0.167 | 0.199 | 0.032 | 0.85 | 0.268 | 0.300 | 0.032 | 0.87 | ||
8 | 22 | 123 | 24 | 0.067 | 0.104 | 0.038 | 0.84 | 0.167 | 0.220 | 0.053 | 0.92 | 0.267 | 0.334 | 0.066 | 0.87 | ||
9 | 25 | 133 | 26 | 0.064 | 0.092 | 0.028 | 1.09 | 0.159 | 0.207 | 0.047 | 1.14 | 0.254 | 0.301 | 0.047 | 1.11 | ||
10 | 19 | 107 | 25 | 0.067 | 0.087 | 0.021 | 0.80 | 0.167 | 0.187 | 0.020 | 0.91 | 0.267 | 0.286 | 0.019 | 0.83 | ||
Ave. | 21.60 | 118.00 | 25.70 | 0.063 | 0.094 | 0.031 | 0.92 | 0.157 | 0.192 | 0.035 | 0.97 | 0.252 | 0.287 | 0.035 | 0.96 | ||
Case 5 | |||||||||||||||||
1 | 23 | 107 | 27 | 0.067 | 0.151 | 0.084 | 0.91 | 0.168 | 0.275 | 0.106 | 1.04 | 0.268 | 0.389 | 0.121 | 1.04 | ||
2 | 21 | 151 | 28 | 0.054 | 0.082 | 0.028 | 1.05 | 0.137 | 0.180 | 0.043 | 1.17 | 0.219 | 0.274 | 0.055 | 1.11 | ||
3 | 22 | 136 | 26 | 0.058 | 0.081 | 0.023 | 0.97 | 0.147 | 0.183 | 0.037 | 1.01 | 0.235 | 0.285 | 0.050 | 1.04 | ||
4 | 18 | 138 | 27 | 0.060 | 0.092 | 0.032 | 0.90 | 0.151 | 0.182 | 0.031 | 0.92 | 0.241 | 0.264 | 0.023 | 0.90 | ||
5 | 21 | 89 | 26 | 0.064 | 0.102 | 0.038 | 0.78 | 0.160 | 0.196 | 0.036 | 0.89 | 0.257 | 0.290 | 0.033 | 0.92 | ||
6 | 20 | 123 | 25 | 0.068 | 0.117 | 0.048 | 0.84 | 0.172 | 0.234 | 0.061 | 0.87 | 0.276 | 0.352 | 0.076 | 0.86 | ||
7 | 19 | 127 | 24 | 0.059 | 0.073 | 0.015 | 0.76 | 0.148 | 0.163 | 0.016 | 0.77 | 0.236 | 0.251 | 0.015 | 0.75 | ||
8 | 21 | 107 | 25 | 0.067 | 0.076 | 0.010 | 0.69 | 0.169 | 0.179 | 0.010 | 0.81 | 0.270 | 0.281 | 0.011 | 0.79 | ||
9 | 18 | 137 | 26 | 0.068 | 0.084 | 0.015 | 0.78 | 0.172 | 0.187 | 0.015 | 0.88 | 0.275 | 0.291 | 0.016 | 0.86 | ||
10 | 24 | 135 | 23 | 0.076 | 0.096 | 0.020 | 0.82 | 0.191 | 0.210 | 0.019 | 0.87 | 0.306 | 0.325 | 0.019 | 0.83 | ||
Ave. | 20.70 | 125.00 | 25.70 | 0.064 | 0.095 | 0.031 | 0.85 | 0.161 | 0.199 | 0.038 | 0.92 | 0.258 | 0.300 | 0.042 | 0.91 | ||
Case 6 | |||||||||||||||||
1 | 21 | 181 | 28 | 0.053 | 0.081 | 0.028 | 1.10 | 0.133 | 0.180 | 0.046 | 1.11 | 0.213 | 0.273 | 0.059 | 1.20 | ||
2 | 17 | 119 | 25 | 0.068 | 0.094 | 0.025 | 0.69 | 0.171 | 0.196 | 0.025 | 0.73 | 0.274 | 0.298 | 0.024 | 0.79 | ||
3 | 16 | 138 | 25 | 0.069 | 0.102 | 0.033 | 0.67 | 0.173 | 0.230 | 0.056 | 0.74 | 0.278 | 0.337 | 0.059 | 0.82 | ||
4 | 24 | 154 | 27 | 0.060 | 0.088 | 0.027 | 1.10 | 0.152 | 0.183 | 0.031 | 1.13 | 0.243 | 0.272 | 0.030 | 1.29 | ||
5 | 18 | 101 | 25 | 0.065 | 0.097 | 0.032 | 0.69 | 0.164 | 0.199 | 0.035 | 0.76 | 0.263 | 0.301 | 0.038 | 0.83 | ||
6 | 19 | 155 | 27 | 0.053 | 0.079 | 0.026 | 0.87 | 0.133 | 0.159 | 0.025 | 0.95 | 0.213 | 0.238 | 0.025 | 0.93 | ||
7 | 21 | 134 | 27 | 0.057 | 0.076 | 0.019 | 1.02 | 0.142 | 0.175 | 0.032 | 1.09 | 0.228 | 0.274 | 0.046 | 1.20 | ||
8 | 23 | 141 | 26 | 0.064 | 0.124 | 0.060 | 1.05 | 0.161 | 0.218 | 0.057 | 1.02 | 0.257 | 0.311 | 0.054 | 0.98 | ||
9 | 14 | 126 | 24 | 0.079 | 0.154 | 0.075 | 0.57 | 0.198 | 0.255 | 0.057 | 0.59 | 0.317 | 0.371 | 0.054 | 0.62 | ||
10 | 20 | 153 | 28 | 0.053 | 0.085 | 0.032 | 1.03 | 0.132 | 0.186 | 0.053 | 1.05 | 0.211 | 0.276 | 0.065 | 1.11 | ||
Ave. | 19.30 | 140.20 | 26.20 | 0.062 | 0.098 | 0.036 | 0.88 | 0.156 | 0.198 | 0.042 | 0.92 | 0.250 | 0.295 | 0.045 | 0.98 |
Ex. | #Operation | #OR blocks | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
Gap | Time | Gap | Time | Gap | Time | ||||||||||||
Case 1 | |||||||||||||||||
1 | 22 | 127 | 27 | 0.054 | 0.123 | 0.069 | 1.04 | 0.135 | 0.215 | 0.080 | 1.09 | 0.216 | 0.296 | 0.080 | 1.01 | ||
2 | 20 | 153 | 29 | 0.050 | 0.092 | 0.042 | 1.05 | 0.125 | 0.177 | 0.052 | 1.06 | 0.200 | 0.262 | 0.063 | 1.07 | ||
3 | 20 | 146 | 29 | 0.057 | 0.095 | 0.038 | 1.18 | 0.142 | 0.205 | 0.063 | 1.20 | 0.227 | 0.315 | 0.088 | 1.22 | ||
4 | 17 | 144 | 29 | 0.061 | 0.111 | 0.050 | 0.92 | 0.155 | 0.203 | 0.048 | 0.96 | 0.248 | 0.294 | 0.046 | 0.97 | ||
5 | 19 | 111 | 29 | 0.048 | 0.058 | 0.010 | 0.94 | 0.121 | 0.131 | 0.011 | 1.17 | 0.193 | 0.205 | 0.011 | 1.03 | ||
6 | 17 | 97 | 27 | 0.060 | 0.112 | 0.052 | 0.82 | 0.149 | 0.211 | 0.062 | 0.82 | 0.239 | 0.313 | 0.074 | 0.80 | ||
7 | 20 | 105 | 25 | 0.068 | 0.126 | 0.058 | 0.67 | 0.172 | 0.231 | 0.059 | 0.79 | 0.275 | 0.333 | 0.057 | 0.77 | ||
8 | 18 | 143 | 28 | 0.060 | 0.118 | 0.057 | 0.91 | 0.150 | 0.207 | 0.057 | 0.97 | 0.241 | 0.296 | 0.055 | 0.96 | ||
9 | 20 | 115 | 26 | 0.057 | 0.095 | 0.038 | 0.90 | 0.097 | 0.161 | 0.064 | 0.92 | 0.230 | 0.324 | 0.094 | 0.92 | ||
10 | 20 | 136 | 28 | 0.053 | 0.078 | 0.025 | 1.03 | 0.134 | 0.196 | 0.062 | 1.08 | 0.214 | 0.289 | 0.075 | 1.09 | ||
Ave. | 19.30 | 127.70 | 27.70 | 0.057 | 0.101 | 0.044 | 0.95 | 0.138 | 0.194 | 0.056 | 1.01 | 0.228 | 0.293 | 0.064 | 0.98 | ||
Case 2 | |||||||||||||||||
1 | 17 | 110 | 27 | 0.056 | 0.081 | 0.025 | 0.82 | 0.140 | 0.179 | 0.039 | 0.87 | 0.224 | 0.263 | 0.038 | 0.91 | ||
2 | 24 | 153 | 27 | 0.063 | 0.120 | 0.057 | 1.15 | 0.157 | 0.232 | 0.075 | 1.18 | 0.250 | 0.339 | 0.088 | 1.28 | ||
3 | 21 | 110 | 26 | 0.069 | 0.098 | 0.029 | 0.93 | 0.172 | 0.203 | 0.030 | 0.97 | 0.275 | 0.304 | 0.029 | 0.99 | ||
4 | 22 | 115 | 25 | 0.074 | 0.117 | 0.043 | 0.88 | 0.184 | 0.225 | 0.041 | 0.94 | 0.296 | 0.335 | 0.039 | 1.01 | ||
5 | 12 | 92 | 29 | 0.060 | 0.066 | 0.005 | 0.47 | 0.152 | 0.137 | -0.015 | 0.47 | 0.243 | 0.201 | -0.042 | 0.48 | ||
6 | 21 | 135 | 24 | 0.061 | 0.100 | 0.038 | 0.77 | 0.155 | 0.192 | 0.037 | 0.79 | 0.247 | 0.282 | 0.036 | 0.80 | ||
7 | 19 | 128 | 28 | 0.058 | 0.081 | 0.023 | 0.99 | 0.145 | 0.173 | 0.027 | 1.00 | 0.233 | 0.260 | 0.026 | 1.00 | ||
8 | 21 | 114 | 27 | 0.062 | 0.100 | 0.037 | 0.91 | 0.158 | 0.208 | 0.051 | 1.02 | 0.252 | 0.302 | 0.050 | 0.98 | ||
9 | 23 | 101 | 23 | 0.065 | 0.092 | 0.027 | 0.72 | 0.163 | 0.190 | 0.027 | 0.78 | 0.260 | 0.287 | 0.027 | 0.77 | ||
10 | 20 | 151 | 24 | 0.068 | 0.119 | 0.050 | 0.80 | 0.172 | 0.225 | 0.053 | 0.81 | 0.274 | 0.324 | 0.050 | 0.78 | ||
Ave. | 20.00 | 120.90 | 26.00 | 0.064 | 0.097 | 0.034 | 0.84 | 0.160 | 0.196 | 0.037 | 0.88 | 0.256 | 0.290 | 0.034 | 0.90 | ||
Case 3 | |||||||||||||||||
1 | 21 | 152 | 28 | 0.057 | 0.079 | 0.023 | 1.13 | 0.143 | 0.178 | 0.035 | 1.13 | 0.229 | 0.264 | 0.035 | 1.15 | ||
2 | 21 | 149 | 27 | 0.054 | 0.096 | 0.042 | 1.08 | 0.135 | 0.184 | 0.049 | 1.11 | 0.216 | 0.281 | 0.065 | 1.05 | ||
3 | 16 | 117 | 26 | 0.060 | 0.118 | 0.057 | 0.72 | 0.152 | 0.266 | 0.113 | 0.74 | 0.243 | 0.369 | 0.126 | 0.74 | ||
4 | 21 | 145 | 24 | 0.065 | 0.108 | 0.043 | 0.86 | 0.162 | 0.207 | 0.046 | 0.84 | 0.258 | 0.301 | 0.043 | 0.88 | ||
5 | 15 | 114 | 28 | 0.068 | 0.125 | 0.057 | 0.80 | 0.171 | 0.239 | 0.069 | 0.85 | 0.273 | 0.342 | 0.069 | 0.84 | ||
6 | 16 | 158 | 25 | 0.057 | 0.063 | 0.006 | 0.73 | 0.143 | 0.150 | 0.007 | 0.74 | 0.229 | 0.236 | 0.007 | 0.74 | ||
7 | 19 | 128 | 25 | 0.069 | 0.150 | 0.081 | 0.76 | 0.174 | 0.252 | 0.078 | 0.79 | 0.277 | 0.352 | 0.075 | 0.77 | ||
8 | 18 | 160 | 26 | 0.058 | 0.074 | 0.016 | 0.85 | 0.144 | 0.160 | 0.016 | 0.86 | 0.230 | 0.246 | 0.015 | 0.84 | ||
9 | 20 | 134 | 26 | 0.064 | 0.119 | 0.055 | 0.89 | 0.162 | 0.215 | 0.053 | 0.89 | 0.259 | 0.310 | 0.051 | 0.88 | ||
10 | 21 | 147 | 27 | 0.055 | 0.083 | 0.028 | 0.99 | 0.139 | 0.167 | 0.028 | 1.01 | 0.222 | 0.252 | 0.029 | 0.98 | ||
Ave. | 18.80 | 140.40 | 26.20 | 0.061 | 0.101 | 0.041 | 0.88 | 0.152 | 0.202 | 0.049 | 0.90 | 0.244 | 0.295 | 0.051 | 0.89 | ||
Case 4 | |||||||||||||||||
1 | 23 | 99 | 24 | 0.065 | 0.097 | 0.031 | 0.76 | 0.163 | 0.192 | 0.029 | 0.85 | 0.262 | 0.290 | 0.028 | 0.86 | ||
2 | 22 | 130 | 28 | 0.056 | 0.093 | 0.037 | 1.16 | 0.141 | 0.179 | 0.039 | 1.17 | 0.225 | 0.262 | 0.037 | 1.18 | ||
3 | 18 | 115 | 27 | 0.061 | 0.097 | 0.036 | 0.82 | 0.151 | 0.187 | 0.036 | 0.84 | 0.242 | 0.278 | 0.035 | 0.84 | ||
4 | 24 | 130 | 27 | 0.068 | 0.111 | 0.043 | 1.13 | 0.171 | 0.216 | 0.045 | 1.19 | 0.273 | 0.316 | 0.043 | 1.21 | ||
5 | 23 | 111 | 25 | 0.058 | 0.077 | 0.019 | 0.85 | 0.147 | 0.166 | 0.018 | 0.93 | 0.235 | 0.253 | 0.018 | 0.95 | ||
6 | 20 | 128 | 26 | 0.056 | 0.084 | 0.028 | 0.88 | 0.141 | 0.169 | 0.028 | 0.94 | 0.225 | 0.252 | 0.027 | 0.93 | ||
7 | 20 | 104 | 25 | 0.067 | 0.099 | 0.032 | 0.84 | 0.167 | 0.199 | 0.032 | 0.85 | 0.268 | 0.300 | 0.032 | 0.87 | ||
8 | 22 | 123 | 24 | 0.067 | 0.104 | 0.038 | 0.84 | 0.167 | 0.220 | 0.053 | 0.92 | 0.267 | 0.334 | 0.066 | 0.87 | ||
9 | 25 | 133 | 26 | 0.064 | 0.092 | 0.028 | 1.09 | 0.159 | 0.207 | 0.047 | 1.14 | 0.254 | 0.301 | 0.047 | 1.11 | ||
10 | 19 | 107 | 25 | 0.067 | 0.087 | 0.021 | 0.80 | 0.167 | 0.187 | 0.020 | 0.91 | 0.267 | 0.286 | 0.019 | 0.83 | ||
Ave. | 21.60 | 118.00 | 25.70 | 0.063 | 0.094 | 0.031 | 0.92 | 0.157 | 0.192 | 0.035 | 0.97 | 0.252 | 0.287 | 0.035 | 0.96 | ||
Case 5 | |||||||||||||||||
1 | 23 | 107 | 27 | 0.067 | 0.151 | 0.084 | 0.91 | 0.168 | 0.275 | 0.106 | 1.04 | 0.268 | 0.389 | 0.121 | 1.04 | ||
2 | 21 | 151 | 28 | 0.054 | 0.082 | 0.028 | 1.05 | 0.137 | 0.180 | 0.043 | 1.17 | 0.219 | 0.274 | 0.055 | 1.11 | ||
3 | 22 | 136 | 26 | 0.058 | 0.081 | 0.023 | 0.97 | 0.147 | 0.183 | 0.037 | 1.01 | 0.235 | 0.285 | 0.050 | 1.04 | ||
4 | 18 | 138 | 27 | 0.060 | 0.092 | 0.032 | 0.90 | 0.151 | 0.182 | 0.031 | 0.92 | 0.241 | 0.264 | 0.023 | 0.90 | ||
5 | 21 | 89 | 26 | 0.064 | 0.102 | 0.038 | 0.78 | 0.160 | 0.196 | 0.036 | 0.89 | 0.257 | 0.290 | 0.033 | 0.92 | ||
6 | 20 | 123 | 25 | 0.068 | 0.117 | 0.048 | 0.84 | 0.172 | 0.234 | 0.061 | 0.87 | 0.276 | 0.352 | 0.076 | 0.86 | ||
7 | 19 | 127 | 24 | 0.059 | 0.073 | 0.015 | 0.76 | 0.148 | 0.163 | 0.016 | 0.77 | 0.236 | 0.251 | 0.015 | 0.75 | ||
8 | 21 | 107 | 25 | 0.067 | 0.076 | 0.010 | 0.69 | 0.169 | 0.179 | 0.010 | 0.81 | 0.270 | 0.281 | 0.011 | 0.79 | ||
9 | 18 | 137 | 26 | 0.068 | 0.084 | 0.015 | 0.78 | 0.172 | 0.187 | 0.015 | 0.88 | 0.275 | 0.291 | 0.016 | 0.86 | ||
10 | 24 | 135 | 23 | 0.076 | 0.096 | 0.020 | 0.82 | 0.191 | 0.210 | 0.019 | 0.87 | 0.306 | 0.325 | 0.019 | 0.83 | ||
Ave. | 20.70 | 125.00 | 25.70 | 0.064 | 0.095 | 0.031 | 0.85 | 0.161 | 0.199 | 0.038 | 0.92 | 0.258 | 0.300 | 0.042 | 0.91 | ||
Case 6 | |||||||||||||||||
1 | 21 | 181 | 28 | 0.053 | 0.081 | 0.028 | 1.10 | 0.133 | 0.180 | 0.046 | 1.11 | 0.213 | 0.273 | 0.059 | 1.20 | ||
2 | 17 | 119 | 25 | 0.068 | 0.094 | 0.025 | 0.69 | 0.171 | 0.196 | 0.025 | 0.73 | 0.274 | 0.298 | 0.024 | 0.79 | ||
3 | 16 | 138 | 25 | 0.069 | 0.102 | 0.033 | 0.67 | 0.173 | 0.230 | 0.056 | 0.74 | 0.278 | 0.337 | 0.059 | 0.82 | ||
4 | 24 | 154 | 27 | 0.060 | 0.088 | 0.027 | 1.10 | 0.152 | 0.183 | 0.031 | 1.13 | 0.243 | 0.272 | 0.030 | 1.29 | ||
5 | 18 | 101 | 25 | 0.065 | 0.097 | 0.032 | 0.69 | 0.164 | 0.199 | 0.035 | 0.76 | 0.263 | 0.301 | 0.038 | 0.83 | ||
6 | 19 | 155 | 27 | 0.053 | 0.079 | 0.026 | 0.87 | 0.133 | 0.159 | 0.025 | 0.95 | 0.213 | 0.238 | 0.025 | 0.93 | ||
7 | 21 | 134 | 27 | 0.057 | 0.076 | 0.019 | 1.02 | 0.142 | 0.175 | 0.032 | 1.09 | 0.228 | 0.274 | 0.046 | 1.20 | ||
8 | 23 | 141 | 26 | 0.064 | 0.124 | 0.060 | 1.05 | 0.161 | 0.218 | 0.057 | 1.02 | 0.257 | 0.311 | 0.054 | 0.98 | ||
9 | 14 | 126 | 24 | 0.079 | 0.154 | 0.075 | 0.57 | 0.198 | 0.255 | 0.057 | 0.59 | 0.317 | 0.371 | 0.054 | 0.62 | ||
10 | 20 | 153 | 28 | 0.053 | 0.085 | 0.032 | 1.03 | 0.132 | 0.186 | 0.053 | 1.05 | 0.211 | 0.276 | 0.065 | 1.11 | ||
Ave. | 19.30 | 140.20 | 26.20 | 0.062 | 0.098 | 0.036 | 0.88 | 0.156 | 0.198 | 0.042 | 0.92 | 0.250 | 0.295 | 0.045 | 0.98 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
n=5 | case1 | 0.079 | 0.039 | 0.040 | 145.800 | 0.163 | 0.096 | 0.067 | 132.000 | 0.241 | 0.128 | 0.113 | 152.610 | ||
case2 | 0.090 | 0.042 | 0.048 | 116.200 | 0.174 | 0.102 | 0.072 | 116.300 | 0.253 | 0.153 | 0.100 | 132.560 | |||
case3 | 0.091 | 0.040 | 0.051 | 118.200 | 0.172 | 0.097 | 0.075 | 120.200 | 0.252 | 0.155 | 0.097 | 118.800 | |||
case4 | 0.071 | 0.031 | 0.040 | 110.200 | 0.151 | 0.072 | 0.079 | 116.400 | 0.227 | 0.107 | 0.120 | 119.600 | |||
case5 | 0.066 | 0.038 | 0.028 | 94.000 | 0.150 | 0.083 | 0.067 | 103.800 | 0.226 | 0.118 | 0.108 | 111.100 | |||
case6 | 0.076 | 0.037 | 0.039 | 110.600 | 0.160 | 0.091 | 0.069 | 97.000 | 0.242 | 0.130 | 0.112 | 119.000 | |||
n=6 | case1 | 0.098 | 0.040 | 0.058 | 120.400 | 0.190 | 0.089 | 0.101 | 132.500 | 0.275 | 0.150 | 0.125 | 126.800 | ||
case2 | 0.104 | 0.054 | 0.050 | 127.400 | 0.204 | 0.123 | 0.081 | 124.100 | 0.297 | 0.194 | 0.103 | 124.800 | |||
case3 | 0.099 | 0.057 | 0.042 | 118.500 | 0.204 | 0.131 | 0.073 | 127.300 | 0.295 | 0.195 | 0.100 | 120.800 | |||
case4 | 0.084 | 0.046 | 0.038 | 106.900 | 0.172 | 0.089 | 0.083 | 119.300 | 0.259 | 0.150 | 0.109 | 115.700 | |||
case5 | 0.081 | 0.036 | 0.045 | 120.900 | 0.167 | 0.084 | 0.083 | 128.000 | 0.251 | 0.126 | 0.125 | 132.700 | |||
case6 | 0.089 | 0.035 | 0.054 | 140.100 | 0.186 | 0.070 | 0.116 | 155.900 | 0.277 | 0.105 | 0.172 | 157.700 | |||
n=7 | case1 | 0.101 | 0.051 | 0.050 | 126.700 | 0.194 | 0.111 | 0.083 | 145.100 | 0.293 | 0.176 | 0.117 | 135.900 | ||
case2 | 0.097 | 0.051 | 0.046 | 109.000 | 0.196 | 0.116 | 0.080 | 98.400 | 0.290 | 0.174 | 0.116 | 114.300 | |||
case3 | 0.101 | 0.058 | 0.043 | 98.000 | 0.202 | 0.145 | 0.057 | 101.800 | 0.295 | 0.218 | 0.077 | 103.700 | |||
case4 | 0.094 | 0.044 | 0.050 | 133.900 | 0.192 | 0.096 | 0.096 | 138.200 | 0.287 | 0.138 | 0.149 | 143.200 | |||
case5 | 0.095 | 0.056 | 0.039 | 100.800 | 0.199 | 0.124 | 0.075 | 120.800 | 0.300 | 0.199 | 0.101 | 109.700 | |||
case6 | 0.098 | 0.044 | 0.054 | 111.500 | 0.198 | 0.093 | 0.105 | 112.800 | 0.295 | 0.162 | 0.133 | 117.900 | |||
Average | 0.090 | 0.044 | 0.045 | 117.172 | 0.182 | 0.101 | 0.081 | 121.661 | 0.270 | 0.154 | 0.115 | 125.382 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||||||
n=5 | case1 | 0.079 | 0.039 | 0.040 | 145.800 | 0.163 | 0.096 | 0.067 | 132.000 | 0.241 | 0.128 | 0.113 | 152.610 | ||
case2 | 0.090 | 0.042 | 0.048 | 116.200 | 0.174 | 0.102 | 0.072 | 116.300 | 0.253 | 0.153 | 0.100 | 132.560 | |||
case3 | 0.091 | 0.040 | 0.051 | 118.200 | 0.172 | 0.097 | 0.075 | 120.200 | 0.252 | 0.155 | 0.097 | 118.800 | |||
case4 | 0.071 | 0.031 | 0.040 | 110.200 | 0.151 | 0.072 | 0.079 | 116.400 | 0.227 | 0.107 | 0.120 | 119.600 | |||
case5 | 0.066 | 0.038 | 0.028 | 94.000 | 0.150 | 0.083 | 0.067 | 103.800 | 0.226 | 0.118 | 0.108 | 111.100 | |||
case6 | 0.076 | 0.037 | 0.039 | 110.600 | 0.160 | 0.091 | 0.069 | 97.000 | 0.242 | 0.130 | 0.112 | 119.000 | |||
n=6 | case1 | 0.098 | 0.040 | 0.058 | 120.400 | 0.190 | 0.089 | 0.101 | 132.500 | 0.275 | 0.150 | 0.125 | 126.800 | ||
case2 | 0.104 | 0.054 | 0.050 | 127.400 | 0.204 | 0.123 | 0.081 | 124.100 | 0.297 | 0.194 | 0.103 | 124.800 | |||
case3 | 0.099 | 0.057 | 0.042 | 118.500 | 0.204 | 0.131 | 0.073 | 127.300 | 0.295 | 0.195 | 0.100 | 120.800 | |||
case4 | 0.084 | 0.046 | 0.038 | 106.900 | 0.172 | 0.089 | 0.083 | 119.300 | 0.259 | 0.150 | 0.109 | 115.700 | |||
case5 | 0.081 | 0.036 | 0.045 | 120.900 | 0.167 | 0.084 | 0.083 | 128.000 | 0.251 | 0.126 | 0.125 | 132.700 | |||
case6 | 0.089 | 0.035 | 0.054 | 140.100 | 0.186 | 0.070 | 0.116 | 155.900 | 0.277 | 0.105 | 0.172 | 157.700 | |||
n=7 | case1 | 0.101 | 0.051 | 0.050 | 126.700 | 0.194 | 0.111 | 0.083 | 145.100 | 0.293 | 0.176 | 0.117 | 135.900 | ||
case2 | 0.097 | 0.051 | 0.046 | 109.000 | 0.196 | 0.116 | 0.080 | 98.400 | 0.290 | 0.174 | 0.116 | 114.300 | |||
case3 | 0.101 | 0.058 | 0.043 | 98.000 | 0.202 | 0.145 | 0.057 | 101.800 | 0.295 | 0.218 | 0.077 | 103.700 | |||
case4 | 0.094 | 0.044 | 0.050 | 133.900 | 0.192 | 0.096 | 0.096 | 138.200 | 0.287 | 0.138 | 0.149 | 143.200 | |||
case5 | 0.095 | 0.056 | 0.039 | 100.800 | 0.199 | 0.124 | 0.075 | 120.800 | 0.300 | 0.199 | 0.101 | 109.700 | |||
case6 | 0.098 | 0.044 | 0.054 | 111.500 | 0.198 | 0.093 | 0.105 | 112.800 | 0.295 | 0.162 | 0.133 | 117.900 | |||
Average | 0.090 | 0.044 | 0.045 | 117.172 | 0.182 | 0.101 | 0.081 | 121.661 | 0.270 | 0.154 | 0.115 | 125.382 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 65 | 132 | 1.01 | 16 | 250 | 1.03 | 16 | 250 | 1.03 | ||
2 | 0 | 71 | 1.01 | 0 | 71 | 1.01 | 0 | 71 | 1.01 | ||
3 | 0 | 121 | 1.01 | 0 | 121 | 1.01 | 0 | 121 | 1.01 | ||
4 | 62 | 107 | 1.00 | 165 | 216 | 1.00 | 71 | 273 | 1.02 | ||
5 | 15 | 0 | 1.00 | 15 | 0 | 1.00 | 15 | 0 | 1.00 | ||
6 | 60 | 12 | 1.00 | 60 | 12 | 1.00 | 60 | 12 | 1.00 | ||
7 | 89 | 71 | 1.00 | 89 | 71 | 1.00 | 207 | 181 | 1.00 | ||
8 | 9 | 64 | 1.01 | 9 | 64 | 1.01 | 9 | 64 | 1.01 | ||
9 | 67 | 40 | 1.00 | 49 | 118 | 1.01 | 49 | 118 | 1.01 | ||
10 | 16 | 147 | 1.02 | 96 | 279 | 1.02 | 96 | 279 | 1.02 | ||
Ave. | 38.30 | 76.50 | 1.00 | 49.90 | 120.20 | 1.01 | 52.30 | 136.90 | 1.01 | ||
Case 2 | |||||||||||
1 | 44 | 21 | 1.00 | 124 | 18 | 0.99 | 124 | 18 | 0.99 | ||
2 | 112 | 108 | 1.00 | 112 | 108 | 1.00 | 112 | 108 | 1.00 | ||
3 | 25 | 422 | 1.04 | 0 | 645 | 1.07 | 0 | 645 | 1.07 | ||
4 | 107 | 8 | 0.99 | 108 | 1 | 0.99 | 89 | 130 | 1.01 | ||
5 | 42 | 182 | 1.02 | 43 | 185 | 1.02 | 42 | 182 | 1.02 | ||
6 | 147 | 58 | 0.99 | 147 | 58 | 0.99 | 147 | 58 | 0.99 | ||
7 | 25 | 93 | 1.01 | 25 | 93 | 1.01 | 25 | 93 | 1.01 | ||
8 | 24 | 110 | 1.01 | 18 | 105 | 1.01 | 24 | 110 | 1.01 | ||
9 | 15 | 84 | 1.01 | 15 | 84 | 1.01 | 15 | 84 | 1.01 | ||
10 | 106 | 50 | 0.99 | 148 | 21 | 0.99 | 194 | 132 | 0.99 | ||
Ave. | 64.70 | 113.60 | 1.01 | 74.00 | 131.80 | 1.01 | 77.20 | 156.00 | 1.01 | ||
Case 3 | |||||||||||
1 | 33 | 60 | 1.00 | 26 | 196 | 1.02 | 26 | 196 | 1.02 | ||
2 | 0 | 259 | 1.04 | 0 | 261 | 1.04 | 0 | 320 | 1.05 | ||
3 | 13 | 37 | 1.00 | 13 | 37 | 1.00 | 13 | 37 | 1.00 | ||
4 | 190 | 56 | 0.98 | 14 | 203 | 1.02 | 14 | 203 | 1.02 | ||
5 | 0 | 191 | 1.03 | 0 | 191 | 1.03 | 0 | 191 | 1.03 | ||
6 | 26 | 0 | 1.00 | 104 | 55 | 1.00 | 104 | 55 | 1.00 | ||
7 | 0 | 169 | 1.02 | 0 | 169 | 1.02 | 0 | 169 | 1.02 | ||
8 | 89 | 164 | 1.01 | 89 | 164 | 1.01 | 89 | 164 | 1.01 | ||
9 | 64 | 0 | 0.99 | 64 | 0 | 0.99 | 49 | 55 | 1.00 | ||
10 | 52 | 77 | 1.00 | 52 | 77 | 1.00 | 52 | 77 | 1.00 | ||
Ave. | 46.70 | 101.30 | 1.01 | 36.20 | 135.30 | 1.01 | 34.70 | 146.70 | 1.01 | ||
Case 4 | |||||||||||
1 | 180 | 48 | 0.99 | 194 | 120 | 0.99 | 413 | 120 | 0.97 | ||
2 | 3 | 51 | 1.01 | 3 | 51 | 1.01 | 3 | 51 | 1.01 | ||
3 | 35 | 16 | 1.00 | 46 | 89 | 1.01 | 46 | 89 | 1.01 | ||
4 | 7 | 4 | 1.00 | 7 | 4 | 1.00 | 42 | 138 | 1.01 | ||
5 | 38 | 27 | 1.00 | 53 | 43 | 1.00 | 53 | 43 | 1.00 | ||
6 | 12 | 56 | 1.01 | 12 | 56 | 1.01 | 12 | 56 | 1.01 | ||
7 | 71 | 0 | 0.99 | 71 | 0 | 0.99 | 71 | 0 | 0.99 | ||
8 | 26 | 146 | 1.02 | 26 | 146 | 1.02 | 26 | 146 | 1.02 | ||
9 | 52 | 0 | 1.00 | 52 | 0 | 1.00 | 52 | 0 | 1.00 | ||
10 | 2 | 144 | 1.02 | 2 | 184 | 1.02 | 2 | 184 | 1.02 | ||
Ave. | 42.60 | 49.20 | 1.00 | 46.60 | 69.30 | 1.00 | 72.00 | 82.70 | 1.00 | ||
Case 5 | |||||||||||
1 | 32 | 48 | 1.00 | 32 | 48 | 1.00 | 32 | 48 | 1.00 | ||
2 | 379 | 117 | 0.97 | 379 | 117 | 0.97 | 379 | 117 | 0.97 | ||
3 | 115 | 1 | 0.98 | 115 | 1 | 0.98 | 115 | 1 | 0.98 | ||
4 | 63 | 42 | 1.00 | 63 | 42 | 1.00 | 63 | 42 | 1.00 | ||
5 | 17 | 30 | 1.00 | 17 | 30 | 1.00 | 17 | 30 | 1.00 | ||
6 | 31 | 0 | 1.00 | 31 | 0 | 1.00 | 31 | 0 | 1.00 | ||
7 | 9 | 17 | 1.00 | 9 | 17 | 1.00 | 9 | 17 | 1.00 | ||
8 | 77 | 65 | 1.00 | 156 | 97 | 0.99 | 156 | 97 | 0.99 | ||
9 | 2 | 19 | 1.00 | 186 | 95 | 0.99 | 186 | 95 | 0.99 | ||
10 | 63 | 14 | 0.99 | 117 | 1 | 0.99 | 117 | 1 | 0.99 | ||
Ave. | 78.80 | 35.30 | 0.99 | 110.50 | 44.80 | 0.99 | 110.50 | 44.80 | 0.99 | ||
Case 6 | |||||||||||
1 | 34 | 18 | 1.00 | 34 | 18 | 1.00 | 34 | 18 | 1.00 | ||
2 | 73 | 48 | 1.00 | 116 | 14 | 0.99 | 95 | 132 | 1.00 | ||
3 | 59 | 6 | 0.99 | 59 | 6 | 0.99 | 59 | 6 | 0.99 | ||
4 | 29 | 137 | 1.01 | 29 | 137 | 1.01 | 29 | 137 | 1.01 | ||
5 | 22 | 0 | 1.00 | 19 | 0 | 1.00 | 27 | 0 | 1.00 | ||
6 | 20 | 0 | 1.00 | 56 | 28 | 1.00 | 56 | 28 | 1.00 | ||
7 | 4 | 69 | 1.01 | 4 | 69 | 1.01 | 4 | 69 | 1.01 | ||
8 | 28 | 41 | 1.00 | 28 | 41 | 1.00 | 28 | 41 | 1.00 | ||
9 | 234 | 77 | 0.98 | 234 | 77 | 0.98 | 234 | 77 | 0.98 | ||
10 | 48 | 104 | 1.01 | 45 | 120 | 1.01 | 3 | 275 | 1.03 | ||
Ave. | 55.10 | 50.00 | 1.00 | 62.40 | 51.00 | 1.00 | 56.90 | 78.30 | 1.00 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 65 | 132 | 1.01 | 16 | 250 | 1.03 | 16 | 250 | 1.03 | ||
2 | 0 | 71 | 1.01 | 0 | 71 | 1.01 | 0 | 71 | 1.01 | ||
3 | 0 | 121 | 1.01 | 0 | 121 | 1.01 | 0 | 121 | 1.01 | ||
4 | 62 | 107 | 1.00 | 165 | 216 | 1.00 | 71 | 273 | 1.02 | ||
5 | 15 | 0 | 1.00 | 15 | 0 | 1.00 | 15 | 0 | 1.00 | ||
6 | 60 | 12 | 1.00 | 60 | 12 | 1.00 | 60 | 12 | 1.00 | ||
7 | 89 | 71 | 1.00 | 89 | 71 | 1.00 | 207 | 181 | 1.00 | ||
8 | 9 | 64 | 1.01 | 9 | 64 | 1.01 | 9 | 64 | 1.01 | ||
9 | 67 | 40 | 1.00 | 49 | 118 | 1.01 | 49 | 118 | 1.01 | ||
10 | 16 | 147 | 1.02 | 96 | 279 | 1.02 | 96 | 279 | 1.02 | ||
Ave. | 38.30 | 76.50 | 1.00 | 49.90 | 120.20 | 1.01 | 52.30 | 136.90 | 1.01 | ||
Case 2 | |||||||||||
1 | 44 | 21 | 1.00 | 124 | 18 | 0.99 | 124 | 18 | 0.99 | ||
2 | 112 | 108 | 1.00 | 112 | 108 | 1.00 | 112 | 108 | 1.00 | ||
3 | 25 | 422 | 1.04 | 0 | 645 | 1.07 | 0 | 645 | 1.07 | ||
4 | 107 | 8 | 0.99 | 108 | 1 | 0.99 | 89 | 130 | 1.01 | ||
5 | 42 | 182 | 1.02 | 43 | 185 | 1.02 | 42 | 182 | 1.02 | ||
6 | 147 | 58 | 0.99 | 147 | 58 | 0.99 | 147 | 58 | 0.99 | ||
7 | 25 | 93 | 1.01 | 25 | 93 | 1.01 | 25 | 93 | 1.01 | ||
8 | 24 | 110 | 1.01 | 18 | 105 | 1.01 | 24 | 110 | 1.01 | ||
9 | 15 | 84 | 1.01 | 15 | 84 | 1.01 | 15 | 84 | 1.01 | ||
10 | 106 | 50 | 0.99 | 148 | 21 | 0.99 | 194 | 132 | 0.99 | ||
Ave. | 64.70 | 113.60 | 1.01 | 74.00 | 131.80 | 1.01 | 77.20 | 156.00 | 1.01 | ||
Case 3 | |||||||||||
1 | 33 | 60 | 1.00 | 26 | 196 | 1.02 | 26 | 196 | 1.02 | ||
2 | 0 | 259 | 1.04 | 0 | 261 | 1.04 | 0 | 320 | 1.05 | ||
3 | 13 | 37 | 1.00 | 13 | 37 | 1.00 | 13 | 37 | 1.00 | ||
4 | 190 | 56 | 0.98 | 14 | 203 | 1.02 | 14 | 203 | 1.02 | ||
5 | 0 | 191 | 1.03 | 0 | 191 | 1.03 | 0 | 191 | 1.03 | ||
6 | 26 | 0 | 1.00 | 104 | 55 | 1.00 | 104 | 55 | 1.00 | ||
7 | 0 | 169 | 1.02 | 0 | 169 | 1.02 | 0 | 169 | 1.02 | ||
8 | 89 | 164 | 1.01 | 89 | 164 | 1.01 | 89 | 164 | 1.01 | ||
9 | 64 | 0 | 0.99 | 64 | 0 | 0.99 | 49 | 55 | 1.00 | ||
10 | 52 | 77 | 1.00 | 52 | 77 | 1.00 | 52 | 77 | 1.00 | ||
Ave. | 46.70 | 101.30 | 1.01 | 36.20 | 135.30 | 1.01 | 34.70 | 146.70 | 1.01 | ||
Case 4 | |||||||||||
1 | 180 | 48 | 0.99 | 194 | 120 | 0.99 | 413 | 120 | 0.97 | ||
2 | 3 | 51 | 1.01 | 3 | 51 | 1.01 | 3 | 51 | 1.01 | ||
3 | 35 | 16 | 1.00 | 46 | 89 | 1.01 | 46 | 89 | 1.01 | ||
4 | 7 | 4 | 1.00 | 7 | 4 | 1.00 | 42 | 138 | 1.01 | ||
5 | 38 | 27 | 1.00 | 53 | 43 | 1.00 | 53 | 43 | 1.00 | ||
6 | 12 | 56 | 1.01 | 12 | 56 | 1.01 | 12 | 56 | 1.01 | ||
7 | 71 | 0 | 0.99 | 71 | 0 | 0.99 | 71 | 0 | 0.99 | ||
8 | 26 | 146 | 1.02 | 26 | 146 | 1.02 | 26 | 146 | 1.02 | ||
9 | 52 | 0 | 1.00 | 52 | 0 | 1.00 | 52 | 0 | 1.00 | ||
10 | 2 | 144 | 1.02 | 2 | 184 | 1.02 | 2 | 184 | 1.02 | ||
Ave. | 42.60 | 49.20 | 1.00 | 46.60 | 69.30 | 1.00 | 72.00 | 82.70 | 1.00 | ||
Case 5 | |||||||||||
1 | 32 | 48 | 1.00 | 32 | 48 | 1.00 | 32 | 48 | 1.00 | ||
2 | 379 | 117 | 0.97 | 379 | 117 | 0.97 | 379 | 117 | 0.97 | ||
3 | 115 | 1 | 0.98 | 115 | 1 | 0.98 | 115 | 1 | 0.98 | ||
4 | 63 | 42 | 1.00 | 63 | 42 | 1.00 | 63 | 42 | 1.00 | ||
5 | 17 | 30 | 1.00 | 17 | 30 | 1.00 | 17 | 30 | 1.00 | ||
6 | 31 | 0 | 1.00 | 31 | 0 | 1.00 | 31 | 0 | 1.00 | ||
7 | 9 | 17 | 1.00 | 9 | 17 | 1.00 | 9 | 17 | 1.00 | ||
8 | 77 | 65 | 1.00 | 156 | 97 | 0.99 | 156 | 97 | 0.99 | ||
9 | 2 | 19 | 1.00 | 186 | 95 | 0.99 | 186 | 95 | 0.99 | ||
10 | 63 | 14 | 0.99 | 117 | 1 | 0.99 | 117 | 1 | 0.99 | ||
Ave. | 78.80 | 35.30 | 0.99 | 110.50 | 44.80 | 0.99 | 110.50 | 44.80 | 0.99 | ||
Case 6 | |||||||||||
1 | 34 | 18 | 1.00 | 34 | 18 | 1.00 | 34 | 18 | 1.00 | ||
2 | 73 | 48 | 1.00 | 116 | 14 | 0.99 | 95 | 132 | 1.00 | ||
3 | 59 | 6 | 0.99 | 59 | 6 | 0.99 | 59 | 6 | 0.99 | ||
4 | 29 | 137 | 1.01 | 29 | 137 | 1.01 | 29 | 137 | 1.01 | ||
5 | 22 | 0 | 1.00 | 19 | 0 | 1.00 | 27 | 0 | 1.00 | ||
6 | 20 | 0 | 1.00 | 56 | 28 | 1.00 | 56 | 28 | 1.00 | ||
7 | 4 | 69 | 1.01 | 4 | 69 | 1.01 | 4 | 69 | 1.01 | ||
8 | 28 | 41 | 1.00 | 28 | 41 | 1.00 | 28 | 41 | 1.00 | ||
9 | 234 | 77 | 0.98 | 234 | 77 | 0.98 | 234 | 77 | 0.98 | ||
10 | 48 | 104 | 1.01 | 45 | 120 | 1.01 | 3 | 275 | 1.03 | ||
Ave. | 55.10 | 50.00 | 1.00 | 62.40 | 51.00 | 1.00 | 56.90 | 78.30 | 1.00 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 39 | 66 | 1.00 | 39 | 66 | 1.00 | 30 | 186 | 1.01 | ||
2 | 66 | 120 | 1.01 | 295 | 163 | 0.99 | 295 | 163 | 0.99 | ||
3 | 15 | 62 | 1.01 | 3 | 214 | 1.03 | 3 | 214 | 1.03 | ||
4 | 55 | 12 | 0.99 | 22 | 75 | 1.01 | 40 | 64 | 1.00 | ||
5 | 27 | 261 | 1.02 | 27 | 261 | 1.02 | 27 | 261 | 1.02 | ||
6 | 71 | 100 | 1.00 | 90 | 163 | 1.01 | 90 | 163 | 1.01 | ||
7 | 154 | 129 | 1.00 | 69 | 174 | 1.01 | 69 | 174 | 1.01 | ||
8 | 24 | 72 | 1.01 | 24 | 72 | 1.01 | 24 | 72 | 1.01 | ||
9 | 79 | 164 | 1.01 | 79 | 164 | 1.01 | 79 | 164 | 1.01 | ||
10 | 332 | 123 | 0.98 | 332 | 123 | 0.98 | 332 | 123 | 0.98 | ||
Ave. | 86.20 | 110.90 | 1.00 | 98.00 | 147.50 | 1.01 | 98.90 | 158.40 | 1.01 | ||
Case 2 | |||||||||||
1 | 20 | 145 | 1.01 | 20 | 145 | 1.01 | 0 | 343 | 1.04 | ||
2 | 31 | 100 | 1.01 | 70 | 220 | 1.02 | 70 | 220 | 1.02 | ||
3 | 49 | 238 | 1.03 | 86 | 482 | 1.06 | 86 | 482 | 1.06 | ||
4 | 10 | 65 | 1.01 | 10 | 65 | 1.01 | 10 | 65 | 1.01 | ||
5 | 108 | 108 | 1.00 | 81 | 165 | 1.01 | 81 | 165 | 1.01 | ||
6 | 23 | 52 | 1.00 | 23 | 52 | 1.00 | 35 | 64 | 1.00 | ||
7 | 80 | 125 | 1.01 | 80 | 125 | 1.01 | 80 | 125 | 1.01 | ||
8 | 52 | 74 | 1.00 | 96 | 108 | 1.00 | 96 | 108 | 1.00 | ||
9 | 103 | 95 | 1.00 | 56 | 239 | 1.02 | 56 | 239 | 1.02 | ||
10 | 31 | 0 | 1.00 | 18 | 56 | 1.00 | 18 | 56 | 1.00 | ||
Ave. | 50.70 | 100.20 | 1.01 | 54.00 | 165.70 | 1.01 | 53.20 | 186.70 | 1.02 | ||
Case 3 | |||||||||||
1 | 30 | 219 | 1.02 | 0 | 343 | 1.04 | 0 | 459 | 1.05 | ||
2 | 26 | 48 | 1.00 | 26 | 48 | 1.00 | 57 | 23 | 1.00 | ||
3 | 61 | 145 | 1.01 | 61 | 145 | 1.01 | 61 | 145 | 1.01 | ||
4 | 5 | 298 | 1.03 | 11 | 676 | 1.07 | 11 | 676 | 1.07 | ||
5 | 91 | 13 | 0.99 | 73 | 21 | 0.99 | 73 | 21 | 0.99 | ||
6 | 30 | 7 | 1.00 | 28 | 53 | 1.00 | 28 | 53 | 1.00 | ||
7 | 78 | 64 | 1.00 | 208 | 172 | 1.00 | 208 | 172 | 1.00 | ||
8 | 31 | 120 | 1.01 | 31 | 120 | 1.01 | 31 | 120 | 1.01 | ||
9 | 85 | 0 | 0.99 | 85 | 0 | 0.99 | 85 | 0 | 0.99 | ||
10 | 94 | 81 | 1.00 | 51 | 127 | 1.01 | 91 | 173 | 1.01 | ||
Ave. | 53.10 | 99.50 | 1.01 | 57.40 | 170.50 | 1.01 | 64.50 | 184.20 | 1.01 | ||
Case 4 | |||||||||||
1 | 23 | 46 | 1.00 | 10 | 101 | 1.01 | 10 | 101 | 1.01 | ||
2 | 47 | 144 | 1.01 | 47 | 144 | 1.01 | 47 | 144 | 1.01 | ||
3 | 20 | 55 | 1.00 | 20 | 55 | 1.00 | 20 | 55 | 1.00 | ||
4 | 60 | 10 | 0.99 | 11 | 114 | 1.01 | 213 | 154 | 0.99 | ||
5 | 33 | 15 | 1.00 | 13 | 78 | 1.01 | 13 | 78 | 1.01 | ||
6 | 6 | 286 | 1.04 | 6 | 286 | 1.04 | 6 | 286 | 1.04 | ||
7 | 136 | 10 | 0.98 | 206 | 0 | 0.97 | 206 | 0 | 0.97 | ||
8 | 32 | 2 | 1.00 | 75 | 16 | 0.99 | 73 | 23 | 1.00 | ||
9 | 27 | 2 | 1.00 | 27 | 2 | 1.00 | 27 | 2 | 1.00 | ||
10 | 19 | 148 | 1.01 | 19 | 148 | 1.01 | 19 | 148 | 1.01 | ||
Ave. | 40.30 | 71.80 | 1.00 | 43.40 | 94.40 | 1.01 | 63.40 | 99.10 | 1.00 | ||
Case 5 | |||||||||||
1 | 4 | 78 | 1.01 | 4 | 78 | 1.01 | 4 | 78 | 1.01 | ||
2 | 35 | 100 | 1.01 | 19 | 171 | 1.01 | 19 | 171 | 1.01 | ||
3 | 142 | 35 | 0.99 | 92 | 53 | 1.00 | 120 | 145 | 1.00 | ||
4 | 76 | 0 | 0.99 | 6 | 146 | 1.02 | 6 | 250 | 1.03 | ||
5 | 42 | 0 | 1.00 | 42 | 0 | 1.00 | 42 | 0 | 1.00 | ||
6 | 6 | 174 | 1.03 | 6 | 174 | 1.03 | 6 | 174 | 1.03 | ||
7 | 234 | 0 | 0.97 | 91 | 107 | 1.00 | 91 | 107 | 1.00 | ||
8 | 3 | 63 | 1.01 | 3 | 63 | 1.01 | 3 | 63 | 1.01 | ||
9 | 36 | 57 | 1.00 | 73 | 38 | 1.00 | 73 | 38 | 1.00 | ||
10 | 65 | 0 | 0.99 | 65 | 0 | 0.99 | 65 | 0 | 0.99 | ||
Ave. | 64.30 | 50.70 | 1.00 | 40.10 | 83.00 | 1.01 | 42.90 | 102.6 | 1.01 | ||
Case 6 | |||||||||||
1 | 67 | 0 | 0.99 | 91 | 32 | 0.99 | 91 | 32 | 0.99 | ||
2 | 37 | 29 | 0.99 | 81 | 68 | 1.00 | 81 | 68 | 1.00 | ||
3 | 14 | 34 | 1.00 | 5 | 16 | 1.00 | 8 | 104 | 1.01 | ||
4 | 28 | 34 | 1.00 | 26 | 90 | 1.01 | 26 | 90 | 1.01 | ||
5 | 17 | 71 | 1.01 | 17 | 71 | 1.01 | 17 | 71 | 1.01 | ||
6 | 70 | 386 | 1.03 | 70 | 386 | 1.03 | 21 | 595 | 1.06 | ||
7 | 91 | 22 | 0.99 | 91 | 22 | 0.99 | 131 | 42 | 0.99 | ||
8 | 27 | 6 | 1.00 | 27 | 6 | 1.00 | 26 | 118 | 1.01 | ||
9 | 34 | 135 | 1.01 | 34 | 135 | 1.01 | 34 | 135 | 1.01 | ||
10 | 47 | 160 | 1.02 | 162 | 192 | 1.00 | 162 | 192 | 1.00 | ||
Ave. | 47.40 | 87.70 | 1.00 | 60.40 | 101.80 | 1.00 | 59.70 | 144.70 | 1.01 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 39 | 66 | 1.00 | 39 | 66 | 1.00 | 30 | 186 | 1.01 | ||
2 | 66 | 120 | 1.01 | 295 | 163 | 0.99 | 295 | 163 | 0.99 | ||
3 | 15 | 62 | 1.01 | 3 | 214 | 1.03 | 3 | 214 | 1.03 | ||
4 | 55 | 12 | 0.99 | 22 | 75 | 1.01 | 40 | 64 | 1.00 | ||
5 | 27 | 261 | 1.02 | 27 | 261 | 1.02 | 27 | 261 | 1.02 | ||
6 | 71 | 100 | 1.00 | 90 | 163 | 1.01 | 90 | 163 | 1.01 | ||
7 | 154 | 129 | 1.00 | 69 | 174 | 1.01 | 69 | 174 | 1.01 | ||
8 | 24 | 72 | 1.01 | 24 | 72 | 1.01 | 24 | 72 | 1.01 | ||
9 | 79 | 164 | 1.01 | 79 | 164 | 1.01 | 79 | 164 | 1.01 | ||
10 | 332 | 123 | 0.98 | 332 | 123 | 0.98 | 332 | 123 | 0.98 | ||
Ave. | 86.20 | 110.90 | 1.00 | 98.00 | 147.50 | 1.01 | 98.90 | 158.40 | 1.01 | ||
Case 2 | |||||||||||
1 | 20 | 145 | 1.01 | 20 | 145 | 1.01 | 0 | 343 | 1.04 | ||
2 | 31 | 100 | 1.01 | 70 | 220 | 1.02 | 70 | 220 | 1.02 | ||
3 | 49 | 238 | 1.03 | 86 | 482 | 1.06 | 86 | 482 | 1.06 | ||
4 | 10 | 65 | 1.01 | 10 | 65 | 1.01 | 10 | 65 | 1.01 | ||
5 | 108 | 108 | 1.00 | 81 | 165 | 1.01 | 81 | 165 | 1.01 | ||
6 | 23 | 52 | 1.00 | 23 | 52 | 1.00 | 35 | 64 | 1.00 | ||
7 | 80 | 125 | 1.01 | 80 | 125 | 1.01 | 80 | 125 | 1.01 | ||
8 | 52 | 74 | 1.00 | 96 | 108 | 1.00 | 96 | 108 | 1.00 | ||
9 | 103 | 95 | 1.00 | 56 | 239 | 1.02 | 56 | 239 | 1.02 | ||
10 | 31 | 0 | 1.00 | 18 | 56 | 1.00 | 18 | 56 | 1.00 | ||
Ave. | 50.70 | 100.20 | 1.01 | 54.00 | 165.70 | 1.01 | 53.20 | 186.70 | 1.02 | ||
Case 3 | |||||||||||
1 | 30 | 219 | 1.02 | 0 | 343 | 1.04 | 0 | 459 | 1.05 | ||
2 | 26 | 48 | 1.00 | 26 | 48 | 1.00 | 57 | 23 | 1.00 | ||
3 | 61 | 145 | 1.01 | 61 | 145 | 1.01 | 61 | 145 | 1.01 | ||
4 | 5 | 298 | 1.03 | 11 | 676 | 1.07 | 11 | 676 | 1.07 | ||
5 | 91 | 13 | 0.99 | 73 | 21 | 0.99 | 73 | 21 | 0.99 | ||
6 | 30 | 7 | 1.00 | 28 | 53 | 1.00 | 28 | 53 | 1.00 | ||
7 | 78 | 64 | 1.00 | 208 | 172 | 1.00 | 208 | 172 | 1.00 | ||
8 | 31 | 120 | 1.01 | 31 | 120 | 1.01 | 31 | 120 | 1.01 | ||
9 | 85 | 0 | 0.99 | 85 | 0 | 0.99 | 85 | 0 | 0.99 | ||
10 | 94 | 81 | 1.00 | 51 | 127 | 1.01 | 91 | 173 | 1.01 | ||
Ave. | 53.10 | 99.50 | 1.01 | 57.40 | 170.50 | 1.01 | 64.50 | 184.20 | 1.01 | ||
Case 4 | |||||||||||
1 | 23 | 46 | 1.00 | 10 | 101 | 1.01 | 10 | 101 | 1.01 | ||
2 | 47 | 144 | 1.01 | 47 | 144 | 1.01 | 47 | 144 | 1.01 | ||
3 | 20 | 55 | 1.00 | 20 | 55 | 1.00 | 20 | 55 | 1.00 | ||
4 | 60 | 10 | 0.99 | 11 | 114 | 1.01 | 213 | 154 | 0.99 | ||
5 | 33 | 15 | 1.00 | 13 | 78 | 1.01 | 13 | 78 | 1.01 | ||
6 | 6 | 286 | 1.04 | 6 | 286 | 1.04 | 6 | 286 | 1.04 | ||
7 | 136 | 10 | 0.98 | 206 | 0 | 0.97 | 206 | 0 | 0.97 | ||
8 | 32 | 2 | 1.00 | 75 | 16 | 0.99 | 73 | 23 | 1.00 | ||
9 | 27 | 2 | 1.00 | 27 | 2 | 1.00 | 27 | 2 | 1.00 | ||
10 | 19 | 148 | 1.01 | 19 | 148 | 1.01 | 19 | 148 | 1.01 | ||
Ave. | 40.30 | 71.80 | 1.00 | 43.40 | 94.40 | 1.01 | 63.40 | 99.10 | 1.00 | ||
Case 5 | |||||||||||
1 | 4 | 78 | 1.01 | 4 | 78 | 1.01 | 4 | 78 | 1.01 | ||
2 | 35 | 100 | 1.01 | 19 | 171 | 1.01 | 19 | 171 | 1.01 | ||
3 | 142 | 35 | 0.99 | 92 | 53 | 1.00 | 120 | 145 | 1.00 | ||
4 | 76 | 0 | 0.99 | 6 | 146 | 1.02 | 6 | 250 | 1.03 | ||
5 | 42 | 0 | 1.00 | 42 | 0 | 1.00 | 42 | 0 | 1.00 | ||
6 | 6 | 174 | 1.03 | 6 | 174 | 1.03 | 6 | 174 | 1.03 | ||
7 | 234 | 0 | 0.97 | 91 | 107 | 1.00 | 91 | 107 | 1.00 | ||
8 | 3 | 63 | 1.01 | 3 | 63 | 1.01 | 3 | 63 | 1.01 | ||
9 | 36 | 57 | 1.00 | 73 | 38 | 1.00 | 73 | 38 | 1.00 | ||
10 | 65 | 0 | 0.99 | 65 | 0 | 0.99 | 65 | 0 | 0.99 | ||
Ave. | 64.30 | 50.70 | 1.00 | 40.10 | 83.00 | 1.01 | 42.90 | 102.6 | 1.01 | ||
Case 6 | |||||||||||
1 | 67 | 0 | 0.99 | 91 | 32 | 0.99 | 91 | 32 | 0.99 | ||
2 | 37 | 29 | 0.99 | 81 | 68 | 1.00 | 81 | 68 | 1.00 | ||
3 | 14 | 34 | 1.00 | 5 | 16 | 1.00 | 8 | 104 | 1.01 | ||
4 | 28 | 34 | 1.00 | 26 | 90 | 1.01 | 26 | 90 | 1.01 | ||
5 | 17 | 71 | 1.01 | 17 | 71 | 1.01 | 17 | 71 | 1.01 | ||
6 | 70 | 386 | 1.03 | 70 | 386 | 1.03 | 21 | 595 | 1.06 | ||
7 | 91 | 22 | 0.99 | 91 | 22 | 0.99 | 131 | 42 | 0.99 | ||
8 | 27 | 6 | 1.00 | 27 | 6 | 1.00 | 26 | 118 | 1.01 | ||
9 | 34 | 135 | 1.01 | 34 | 135 | 1.01 | 34 | 135 | 1.01 | ||
10 | 47 | 160 | 1.02 | 162 | 192 | 1.00 | 162 | 192 | 1.00 | ||
Ave. | 47.40 | 87.70 | 1.00 | 60.40 | 101.80 | 1.00 | 59.70 | 144.70 | 1.01 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 232 | 171 | 0.99 | 247 | 252 | 1.00 | 247 | 252 | 1.00 | ||
2 | 81 | 140 | 1.01 | 81 | 140 | 1.01 | 81 | 140 | 1.01 | ||
3 | 111 | 51 | 0.99 | 11 | 49 | 0.99 | 111 | 51 | 0.99 | ||
4 | 34 | 243 | 1.02 | 34 | 243 | 1.02 | 34 | 243 | 1.02 | ||
5 | 81 | 0 | 0.99 | 81 | 0 | 0.99 | 81 | 0 | 0.99 | ||
6 | 96 | 90 | 1.00 | 74 | 130 | 1.01 | 74 | 130 | 1.01 | ||
7 | 91 | 116 | 1.00 | 87 | 160 | 1.01 | 87 | 160 | 1.01 | ||
8 | 50 | 196 | 1.02 | 50 | 243 | 1.02 | 50 | 243 | 1.02 | ||
9 | 66 | 20 | 0.99 | 151 | 66 | 0.99 | 53 | 259 | 1.02 | ||
10 | 118 | 24 | 0.99 | 223 | 91 | 0.99 | 320 | 19 | 0.97 | ||
Ave. | 96.00 | 105.10 | 1.00 | 103.90 | 137.60 | 1.00 | 113.80 | 149.70 | 1.00 | ||
Case 2 | |||||||||||
1 | 53 | 7 | 0.99 | 43 | 139 | 1.01 | 43 | 139 | 1.01 | ||
2 | 28 | 116 | 1.01 | 137 | 148 | 1.00 | 137 | 148 | 1.00 | ||
3 | 40 | 58 | 1.00 | 28 | 117 | 1.01 | 28 | 117 | 1.01 | ||
4 | 16 | 171 | 1.02 | 16 | 171 | 1.02 | 16 | 171 | 1.02 | ||
5 | 6 | 53 | 1.01 | 0 | 119 | 1.02 | 0 | 119 | 1.02 | ||
6 | 36 | 158 | 1.01 | 36 | 158 | 1.01 | 36 | 158 | 1.01 | ||
7 | 17 | 64 | 1.00 | 9 | 140 | 1.01 | 9 | 140 | 1.01 | ||
8 | 37 | 53 | 1.00 | 74 | 155 | 1.01 | 74 | 155 | 1.01 | ||
9 | 77 | 62 | 1.00 | 77 | 62 | 1.00 | 77 | 62 | 1.00 | ||
10 | 68 | 163 | 1.01 | 6 | 278 | 1.03 | 6 | 278 | 1.03 | ||
Ave. | 37.80 | 90.50 | 1.01 | 42.60 | 148.70 | 1.01 | 42.60 | 148.70 | 1.01 | ||
Case 3 | |||||||||||
1 | 74 | 38 | 1.00 | 90 | 144 | 1.01 | 90 | 144 | 1.01 | ||
2 | 59 | 28 | 1.00 | 89 | 119 | 1.00 | 63 | 164 | 1.01 | ||
3 | 65 | 118 | 1.01 | 195 | 245 | 1.01 | 195 | 245 | 1.01 | ||
4 | 53 | 108 | 1.01 | 23 | 184 | 1.02 | 20 | 181 | 1.02 | ||
5 | 6 | 192 | 1.02 | 6 | 192 | 1.02 | 36 | 294 | 1.03 | ||
6 | 52 | 3 | 0.99 | 52 | 3 | 0.99 | 52 | 3 | 0.99 | ||
7 | 55 | 243 | 1.03 | 55 | 243 | 1.03 | 55 | 243 | 1.03 | ||
8 | 15 | 31 | 1.00 | 6 | 79 | 1.01 | 6 | 79 | 1.01 | ||
9 | 31 | 211 | 1.02 | 31 | 211 | 1.02 | 31 | 211 | 1.02 | ||
10 | 84 | 91 | 1.00 | 84 | 91 | 1.00 | 39 | 131 | 1.01 | ||
Ave. | 49.40 | 106.30 | 1.01 | 63.10 | 151.10 | 1.01 | 58.70 | 169.50 | 1.01 | ||
Case 4 | |||||||||||
1 | 57 | 88 | 1.00 | 22 | 104 | 1.01 | 22 | 104 | 1.01 | ||
2 | 21 | 129 | 1.01 | 2 | 198 | 1.02 | 2 | 198 | 1.02 | ||
3 | 53 | 81 | 1.00 | 91 | 92 | 1.00 | 91 | 92 | 1.00 | ||
4 | 7 | 216 | 1.02 | 20 | 229 | 1.02 | 20 | 229 | 1.02 | ||
5 | 17 | 58 | 1.01 | 17 | 58 | 1.01 | 17 | 58 | 1.01 | ||
6 | 31 | 83 | 1.01 | 15 | 138 | 1.01 | 15 | 138 | 1.01 | ||
7 | 69 | 82 | 1.00 | 69 | 82 | 1.00 | 69 | 82 | 1.00 | ||
8 | 76 | 42 | 1.00 | 45 | 112 | 1.01 | 45 | 112 | 1.01 | ||
9 | 72 | 12 | 0.99 | 26 | 120 | 1.01 | 27 | 254 | 1.02 | ||
10 | 20 | 71 | 1.01 | 20 | 71 | 1.01 | 20 | 71 | 1.01 | ||
Ave. | 42.30 | 86.20 | 1.01 | 32.70 | 120.40 | 1.01 | 32.80 | 133.80 | 1.01 | ||
Case 5 | |||||||||||
1 | 334 | 44 | 0.96 | 376 | 66 | 0.96 | 384 | 38 | 0.95 | ||
2 | 38 | 37 | 1.00 | 72 | 73 | 1.00 | 72 | 73 | 1.00 | ||
3 | 113 | 5 | 0.99 | 113 | 5 | 0.99 | 113 | 5 | 0.99 | ||
4 | 47 | 139 | 1.01 | 47 | 139 | 1.01 | 20 | 113 | 1.01 | ||
5 | 67 | 34 | 1.00 | 18 | 129 | 1.02 | 37 | 110 | 1.01 | ||
6 | 22 | 157 | 1.02 | 22 | 157 | 1.02 | 5 | 182 | 1.02 | ||
7 | 50 | 2 | 0.99 | 26 | 63 | 1.00 | 26 | 63 | 1.00 | ||
8 | 48 | 6 | 0.99 | 48 | 6 | 0.99 | 48 | 6 | 0.99 | ||
9 | 54 | 41 | 1.00 | 54 | 41 | 1.00 | 54 | 41 | 1.00 | ||
10 | 20 | 74 | 1.01 | 20 | 74 | 1.01 | 20 | 74 | 1.01 | ||
Ave. | 79.30 | 53.90 | 1.00 | 79.60 | 75.30 | 1.00 | 77.90 | 70.50 | 1.00 | ||
Case 6 | |||||||||||
1 | 48 | 0 | 1.00 | 194 | 27 | 0.98 | 194 | 27 | 0.98 | ||
2 | 19 | 82 | 1.01 | 21 | 84 | 1.01 | 21 | 84 | 1.01 | ||
3 | 49 | 28 | 1.00 | 107 | 71 | 1.00 | 6 | 283 | 1.03 | ||
4 | 6 | 90 | 1.01 | 0 | 166 | 1.02 | 0 | 166 | 1.02 | ||
5 | 202 | 0 | 0.97 | 202 | 0 | 0.97 | 202 | 0 | 0.97 | ||
6 | 41 | 109 | 1.01 | 41 | 109 | 1.01 | 41 | 109 | 1.01 | ||
7 | 79 | 0 | 0.99 | 79 | 0 | 0.99 | 188 | 71 | 0.99 | ||
8 | 9 | 291 | 1.03 | 9 | 291 | 1.03 | 9 | 291 | 1.03 | ||
9 | 123 | 203 | 1.01 | 26 | 207 | 1.03 | 26 | 207 | 1.03 | ||
10 | 111 | 77 | 1.00 | 118 | 130 | 1.00 | 118 | 130 | 1.00 | ||
Ave. | 68.70 | 88.00 | 1.00 | 79.70 | 108.50 | 1.00 | 80.50 | 136.80 | 1.01 |
Ex. | Scenario 1 | Scenario 2 | Scenario 3 | ||||||||
IT | Overtime | UROR | IT | Overtime | UROR | IT | Overtime | UROR | |||
Case 1 | |||||||||||
1 | 232 | 171 | 0.99 | 247 | 252 | 1.00 | 247 | 252 | 1.00 | ||
2 | 81 | 140 | 1.01 | 81 | 140 | 1.01 | 81 | 140 | 1.01 | ||
3 | 111 | 51 | 0.99 | 11 | 49 | 0.99 | 111 | 51 | 0.99 | ||
4 | 34 | 243 | 1.02 | 34 | 243 | 1.02 | 34 | 243 | 1.02 | ||
5 | 81 | 0 | 0.99 | 81 | 0 | 0.99 | 81 | 0 | 0.99 | ||
6 | 96 | 90 | 1.00 | 74 | 130 | 1.01 | 74 | 130 | 1.01 | ||
7 | 91 | 116 | 1.00 | 87 | 160 | 1.01 | 87 | 160 | 1.01 | ||
8 | 50 | 196 | 1.02 | 50 | 243 | 1.02 | 50 | 243 | 1.02 | ||
9 | 66 | 20 | 0.99 | 151 | 66 | 0.99 | 53 | 259 | 1.02 | ||
10 | 118 | 24 | 0.99 | 223 | 91 | 0.99 | 320 | 19 | 0.97 | ||
Ave. | 96.00 | 105.10 | 1.00 | 103.90 | 137.60 | 1.00 | 113.80 | 149.70 | 1.00 | ||
Case 2 | |||||||||||
1 | 53 | 7 | 0.99 | 43 | 139 | 1.01 | 43 | 139 | 1.01 | ||
2 | 28 | 116 | 1.01 | 137 | 148 | 1.00 | 137 | 148 | 1.00 | ||
3 | 40 | 58 | 1.00 | 28 | 117 | 1.01 | 28 | 117 | 1.01 | ||
4 | 16 | 171 | 1.02 | 16 | 171 | 1.02 | 16 | 171 | 1.02 | ||
5 | 6 | 53 | 1.01 | 0 | 119 | 1.02 | 0 | 119 | 1.02 | ||
6 | 36 | 158 | 1.01 | 36 | 158 | 1.01 | 36 | 158 | 1.01 | ||
7 | 17 | 64 | 1.00 | 9 | 140 | 1.01 | 9 | 140 | 1.01 | ||
8 | 37 | 53 | 1.00 | 74 | 155 | 1.01 | 74 | 155 | 1.01 | ||
9 | 77 | 62 | 1.00 | 77 | 62 | 1.00 | 77 | 62 | 1.00 | ||
10 | 68 | 163 | 1.01 | 6 | 278 | 1.03 | 6 | 278 | 1.03 | ||
Ave. | 37.80 | 90.50 | 1.01 | 42.60 | 148.70 | 1.01 | 42.60 | 148.70 | 1.01 | ||
Case 3 | |||||||||||
1 | 74 | 38 | 1.00 | 90 | 144 | 1.01 | 90 | 144 | 1.01 | ||
2 | 59 | 28 | 1.00 | 89 | 119 | 1.00 | 63 | 164 | 1.01 | ||
3 | 65 | 118 | 1.01 | 195 | 245 | 1.01 | 195 | 245 | 1.01 | ||
4 | 53 | 108 | 1.01 | 23 | 184 | 1.02 | 20 | 181 | 1.02 | ||
5 | 6 | 192 | 1.02 | 6 | 192 | 1.02 | 36 | 294 | 1.03 | ||
6 | 52 | 3 | 0.99 | 52 | 3 | 0.99 | 52 | 3 | 0.99 | ||
7 | 55 | 243 | 1.03 | 55 | 243 | 1.03 | 55 | 243 | 1.03 | ||
8 | 15 | 31 | 1.00 | 6 | 79 | 1.01 | 6 | 79 | 1.01 | ||
9 | 31 | 211 | 1.02 | 31 | 211 | 1.02 | 31 | 211 | 1.02 | ||
10 | 84 | 91 | 1.00 | 84 | 91 | 1.00 | 39 | 131 | 1.01 | ||
Ave. | 49.40 | 106.30 | 1.01 | 63.10 | 151.10 | 1.01 | 58.70 | 169.50 | 1.01 | ||
Case 4 | |||||||||||
1 | 57 | 88 | 1.00 | 22 | 104 | 1.01 | 22 | 104 | 1.01 | ||
2 | 21 | 129 | 1.01 | 2 | 198 | 1.02 | 2 | 198 | 1.02 | ||
3 | 53 | 81 | 1.00 | 91 | 92 | 1.00 | 91 | 92 | 1.00 | ||
4 | 7 | 216 | 1.02 | 20 | 229 | 1.02 | 20 | 229 | 1.02 | ||
5 | 17 | 58 | 1.01 | 17 | 58 | 1.01 | 17 | 58 | 1.01 | ||
6 | 31 | 83 | 1.01 | 15 | 138 | 1.01 | 15 | 138 | 1.01 | ||
7 | 69 | 82 | 1.00 | 69 | 82 | 1.00 | 69 | 82 | 1.00 | ||
8 | 76 | 42 | 1.00 | 45 | 112 | 1.01 | 45 | 112 | 1.01 | ||
9 | 72 | 12 | 0.99 | 26 | 120 | 1.01 | 27 | 254 | 1.02 | ||
10 | 20 | 71 | 1.01 | 20 | 71 | 1.01 | 20 | 71 | 1.01 | ||
Ave. | 42.30 | 86.20 | 1.01 | 32.70 | 120.40 | 1.01 | 32.80 | 133.80 | 1.01 | ||
Case 5 | |||||||||||
1 | 334 | 44 | 0.96 | 376 | 66 | 0.96 | 384 | 38 | 0.95 | ||
2 | 38 | 37 | 1.00 | 72 | 73 | 1.00 | 72 | 73 | 1.00 | ||
3 | 113 | 5 | 0.99 | 113 | 5 | 0.99 | 113 | 5 | 0.99 | ||
4 | 47 | 139 | 1.01 | 47 | 139 | 1.01 | 20 | 113 | 1.01 | ||
5 | 67 | 34 | 1.00 | 18 | 129 | 1.02 | 37 | 110 | 1.01 | ||
6 | 22 | 157 | 1.02 | 22 | 157 | 1.02 | 5 | 182 | 1.02 | ||
7 | 50 | 2 | 0.99 | 26 | 63 | 1.00 | 26 | 63 | 1.00 | ||
8 | 48 | 6 | 0.99 | 48 | 6 | 0.99 | 48 | 6 | 0.99 | ||
9 | 54 | 41 | 1.00 | 54 | 41 | 1.00 | 54 | 41 | 1.00 | ||
10 | 20 | 74 | 1.01 | 20 | 74 | 1.01 | 20 | 74 | 1.01 | ||
Ave. | 79.30 | 53.90 | 1.00 | 79.60 | 75.30 | 1.00 | 77.90 | 70.50 | 1.00 | ||
Case 6 | |||||||||||
1 | 48 | 0 | 1.00 | 194 | 27 | 0.98 | 194 | 27 | 0.98 | ||
2 | 19 | 82 | 1.01 | 21 | 84 | 1.01 | 21 | 84 | 1.01 | ||
3 | 49 | 28 | 1.00 | 107 | 71 | 1.00 | 6 | 283 | 1.03 | ||
4 | 6 | 90 | 1.01 | 0 | 166 | 1.02 | 0 | 166 | 1.02 | ||
5 | 202 | 0 | 0.97 | 202 | 0 | 0.97 | 202 | 0 | 0.97 | ||
6 | 41 | 109 | 1.01 | 41 | 109 | 1.01 | 41 | 109 | 1.01 | ||
7 | 79 | 0 | 0.99 | 79 | 0 | 0.99 | 188 | 71 | 0.99 | ||
8 | 9 | 291 | 1.03 | 9 | 291 | 1.03 | 9 | 291 | 1.03 | ||
9 | 123 | 203 | 1.01 | 26 | 207 | 1.03 | 26 | 207 | 1.03 | ||
10 | 111 | 77 | 1.00 | 118 | 130 | 1.00 | 118 | 130 | 1.00 | ||
Ave. | 68.70 | 88.00 | 1.00 | 79.70 | 108.50 | 1.00 | 80.50 | 136.80 | 1.01 |
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