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Scalarizations and Lagrange multipliers for approximate solutions in the vector optimization problems with set-valued maps
Two-machine scheduling with periodic availability constraints to minimize makespan
| 1. | Department of Mathematics, School of Science, East China University of Science and Technology, Shanghai 200237, China, China |
References:
| [1] |
T. C. E. Cheng and G. Wang, An improved heuristic for two-machine flowshop scheduling with an availability constraint, Operation Research Letters, 26 (2000), 223-229.
doi: 10.1016/S0167-6377(00)00033-X. |
| [2] |
R. L. Graham, Bounds on multiprocessing timing anomalies, SIAM Journal on Applied Mathematics, 17 (1969), 416-429.
doi: 10.1137/0117039. |
| [3] |
M. Ji, Y. He and T. C. E. Cheng, Single-machine scheduling with periodic maintenance to minimize makespan, Computer & Operations Research, 34 (2007), 1764-1770.
doi: 10.1016/j.cor.2005.05.034. |
| [4] |
C. J. Liao, D. L. Shyur and C. H. Lin, Makespan minimization for two parallel machines with an availability constraint, European journal of operational Research, 160 (2005), 445-456.
doi: 10.1016/j.ejor.2003.08.034. |
| [5] |
C. J. Liao and W. J. Chen, Single-machine scheduling with periodic maintenance and nonresumable jobs, Computers & operations Research, 30 (2003), 1335-1347.
doi: 10.1016/S0305-0548(02)00074-6. |
| [6] |
C. Y. Lee, Machine scheduling with an availability constraint, Journal of Global optimization, 9 (1996), 395-416.
doi: 10.1007/BF00121681. |
| [7] |
W. Luo and L. Chen, Approximation schemes for scheduling a maintenance and linear deteriorating jobs, Journal of Industrial and Management Optimization, 8 (2012), 271-283.
doi: 10.3934/jimo.2012.8.271. |
| [8] |
G. Wang and T. C. E. Cheng, Heuristics for two-machine no-wait flowshop scheduling with an availability constraint, Information Processing Letters, 80 (2001), 305-309.
doi: 10.1016/S0020-0190(01)00181-8. |
| [9] |
D. H. Xu, Z. M. Cheng, Y. Q. Yin and H. X. Li, Makespan minimization for two parallel machines scheduling with a periodic availability constraint, Computer & Operations Research, 36 (2009), 1809-1812.
doi: 10.1016/j.cor.2008.05.001. |
| [10] |
M. Y. Yue, A simple proof of the inequality $FFD(L)\leq \frac{11}{9}OPT(L)+1,\forall L$ for the FFD Bin-Packing algorithm, Acta Mathematics Application Sinica, 7 (1991), 321-331.
doi: 10.1007/BF02009683. |
show all references
References:
| [1] |
T. C. E. Cheng and G. Wang, An improved heuristic for two-machine flowshop scheduling with an availability constraint, Operation Research Letters, 26 (2000), 223-229.
doi: 10.1016/S0167-6377(00)00033-X. |
| [2] |
R. L. Graham, Bounds on multiprocessing timing anomalies, SIAM Journal on Applied Mathematics, 17 (1969), 416-429.
doi: 10.1137/0117039. |
| [3] |
M. Ji, Y. He and T. C. E. Cheng, Single-machine scheduling with periodic maintenance to minimize makespan, Computer & Operations Research, 34 (2007), 1764-1770.
doi: 10.1016/j.cor.2005.05.034. |
| [4] |
C. J. Liao, D. L. Shyur and C. H. Lin, Makespan minimization for two parallel machines with an availability constraint, European journal of operational Research, 160 (2005), 445-456.
doi: 10.1016/j.ejor.2003.08.034. |
| [5] |
C. J. Liao and W. J. Chen, Single-machine scheduling with periodic maintenance and nonresumable jobs, Computers & operations Research, 30 (2003), 1335-1347.
doi: 10.1016/S0305-0548(02)00074-6. |
| [6] |
C. Y. Lee, Machine scheduling with an availability constraint, Journal of Global optimization, 9 (1996), 395-416.
doi: 10.1007/BF00121681. |
| [7] |
W. Luo and L. Chen, Approximation schemes for scheduling a maintenance and linear deteriorating jobs, Journal of Industrial and Management Optimization, 8 (2012), 271-283.
doi: 10.3934/jimo.2012.8.271. |
| [8] |
G. Wang and T. C. E. Cheng, Heuristics for two-machine no-wait flowshop scheduling with an availability constraint, Information Processing Letters, 80 (2001), 305-309.
doi: 10.1016/S0020-0190(01)00181-8. |
| [9] |
D. H. Xu, Z. M. Cheng, Y. Q. Yin and H. X. Li, Makespan minimization for two parallel machines scheduling with a periodic availability constraint, Computer & Operations Research, 36 (2009), 1809-1812.
doi: 10.1016/j.cor.2008.05.001. |
| [10] |
M. Y. Yue, A simple proof of the inequality $FFD(L)\leq \frac{11}{9}OPT(L)+1,\forall L$ for the FFD Bin-Packing algorithm, Acta Mathematics Application Sinica, 7 (1991), 321-331.
doi: 10.1007/BF02009683. |
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