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An inventory model for items with imperfect quality and quantity discounts under adjusted screening rate and earned interest
1. | Department of Marketing and Supply Chain Management, Overseas Chinese University, Taichung 40721, Taiwan |
2. | Department of Business Administration, National Chung Cheng University, Chia-Yi 621, Taiwan |
3. | Department of Industrial Engineering and Management, Overseas Chinese University, Taichung 40721, Taiwan |
References:
[1] |
W. C. Benton and S. Park, A classification of literature on determining the lot size under quantity discounts, Eur. J. Oper. Res., 92 (1996), 219-238.
doi: 10.1016/0377-2217(95)00315-0. |
[2] |
T. H. Burwell, D. S. Dave, K. E. Fitzpatrick and M. R. Roy, Economic lot size model for price-depend demand under quantity and freight discounts, Int. J. Prod. Econ., 48 (1997), 141-155. |
[3] |
L. E. Cárdenas-Barrón, Observation on: Economic production quantity model for items with imperfect quality, Int. J. Prod. Econ., 67 (2000), 201. |
[4] |
L. E. Cárdenas-Barrón, Economic production quantity with rework process at a single-stage manufacturing system with planned backorders, Comput. Ind. Eng., 57 (2009), 1105-1113. |
[5] |
W.-M. Chan, R. N. Ibrahim and P. B. Lochert, A new EPQ model: Integrating lower pricing rework and reject situations, Prod. Plan. Control, 14 (2003), 588-595.
doi: 10.1080/09537280310001626179. |
[6] |
H. -C. Chang, An application of fuzzy sets theory to the EOQ model with imperfect quality, Comput. Oper. Res., 31 (2004), 2079-2092.
doi: 10.1016/S0305-0548(03)00166-7. |
[7] |
H.-C. Chang and C.-H. Ho, Exact closed-form solutions for optimal inventory model for items with imperfect quality and shortage backordering, Omega, 38 (2010), 233-237.
doi: 10.1016/j.omega.2009.09.006. |
[8] |
A. Eroglu and A. Ozdemir, An economic order quantity model with defective items and shortages, Int. J. Prod. Econ., 106 (2007), 544-549.
doi: 10.1016/j.ijpe.2006.06.015. |
[9] |
S. K. Goyal and L. E. Cárdenas-Barrón, Note on: Economic production quantity model for items with imperfect quality-a practical approach, Int. J. Prod. Econ., 77 (2002), 85-87.
doi: 10.1016/S0925-5273(01)00203-1. |
[10] |
J. T. Hsu and L. F. Hsu, An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns, Int. J. Prod. Econ., 143 (2013), 162-170. |
[11] |
W. K. Hsu and H. F. Yu, An EOQ model with imperfective quality items under an announced price increase, J. Chinese Ins. Ind. Eng., 28 (2011), 34-44.
doi: 10.1080/10170669.2010.532347. |
[12] |
C.-K. Huang, An optimal policy for a single-vendor single buyer integrated production-inventory problem with process unreliability consideration, Int. J. Prod. Econ., 91 (2004), 91-98.
doi: 10.1016/S0925-5273(03)00220-2. |
[13] |
M. Y. Jaber, S. K. Goyal and M. Imran, Economic production quantity model for items with imperfect quality subject to learning effects, Int. J. Prod. Econ., 115 (2008), 143-150.
doi: 10.1016/j.ijpe.2008.05.007. |
[14] |
M. Y. Jaber, S. Zanoni and L. E. Zavanella, An entropic economic order quantity (EnEOQ) for items with imperfect quality, Appl. Math. Modelling, 37 (2013), 3982-3992.
doi: 10.1016/j.apm.2012.07.046. |
[15] |
X. Ji and Z. Shao, Model and algorithm for bilevel newsboy problem with fuzzy demands and discounts, Applied Math. Comput., 172 (2006), 163-174.
doi: 10.1016/j.amc.2005.01.139. |
[16] |
M. Khan, M. Y. Jaber, A. L. Guiffrida and S. Zolfaghari, A review of the extensions of a modified EOQ model for imperfect quality items, Int. J. Prod. Econ., 132 (2011), 1-12.
doi: 10.1016/j.ijpe.2011.03.009. |
[17] |
M. Khan, M. Jaber and M. Wahab, Economic order quantity model for items with imperfect quality with learning in inspection, Int. J. Prod. Econ., 124 (2010), 87-96.
doi: 10.1016/j.ijpe.2009.10.011. |
[18] |
T. -Y. Lin and K. -L. Hou, An imperfect quality economic order quantity with advanced receiving, TOP, 23 (2015), 535-551.
doi: 10.1007/s11750-014-0352-x. |
[19] |
T. -Y. Lin, An economic order quantity with imperfect quality and quantity discounts, Applied Math. Model., 34 (2010), 3158-3165.
doi: 10.1016/j.apm.2010.02.004. |
[20] |
B. Maddah and M. Y. Jaber, Economic order quantity for items with imperfect quantity: Revisited, Int. J. Prod. Econ., 112 (2008), 808-815. |
[21] |
B. Maddah, M. K. Salameh and C. H. Karame, Lot sizing with random yield and different qualities, Appl. Math. Modelling, 33 (2010), 1997-2009.
doi: 10.1016/j.apm.2008.05.009. |
[22] |
B. Maddah, M. K. Salameh and L. Moussawi-Haidar, Order overlapping: A practical approach for preventing shortages during screening, Comput. Ind. Eng., 58 (2010), 691-695.
doi: 10.1016/j.cie.2010.01.014. |
[23] |
G. C. Mahata and A. Goswami, Fuzzy inventory models for items with imperfect quality and shortage backordering under crisp and fuzzy decision variables, Comput. Ind. Eng., 64 (2013), 190-199.
doi: 10.1016/j.cie.2012.09.003. |
[24] |
A. Mendoza and J. A. Ventura, Incorporating quantity discounts to the EOQ model with transportation costs, Int. J. Prod. Econ., 113 (2008), 754-765.
doi: 10.1016/j.ijpe.2007.10.010. |
[25] |
J. P. Monahan, A quantity discount pricing model to increase vendor profits, Manage. Sci., 30 (1984), 720-726.
doi: 10.1287/mnsc.30.6.720. |
[26] |
J. Paknejad, F. Nasri and J. F. Affisco, Quality improvement in an inventory model with finite-range stochastic lead times, Int. J. Prod. Res., 33 (2005), 2767-2777.
doi: 10.1155/JAMDS.2005.177. |
[27] |
S. Papachristos and I. Konstantaras, Economic ordering quantity models for items with imperfect quality, Int. J. Prod. Econ., 100 (2006), 148-154.
doi: 10.1016/j.ijpe.2004.11.004. |
[28] |
H. Qin, M. Luo, X. Gao and A. Lim, The freight allocation problem with all-units quantity-based discount: A heuristic algorithm, Omega, 40 (2012), 415-423.
doi: 10.1016/j.omega.2011.05.005. |
[29] |
S. M. Ross, Introduction to Probability Models, Academic Press, New York, 1993. |
[30] |
M. K. Salameh and M. Y. Jaber, Economic production quantity model for items with imperfect quality, Int. J. Prod. Econ., 64 (2000), 59-64.
doi: 10.1016/S0925-5273(99)00044-4. |
[31] |
W. Shih, Optimal inventory policies when stockouts result from defective products, Int. J. Prod. Res., 18 (1980), 677-685.
doi: 10.1080/00207548008919699. |
[32] |
E. A. Silver, Establishing the reorder quantity when amount received is uncertain, INFOR, 14 (1976), 32-39. |
[33] |
J. F. Tsai, An optimization approach for supply chain management models with quantity discount policy, Eur. J. Oper. Res., 177 (2007), 982-994.
doi: 10.1016/j.ejor.2006.01.034. |
[34] |
J. Vörös, Economic order and production quantity models without constraint on the percentage of defective items, Cent. Eur. J. Oper. Res., 21 (2013), 867-885.
doi: 10.1007/s10100-012-0277-0. |
[35] |
M. I. M. Wahab and M. Y. Jaber, Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: A note, Comput. Ind. Eng., 58 (2010), 186-190.
doi: 10.1016/j.cie.2009.07.007. |
[36] |
H.-M. Wee, J. Yu and M.-C. Chen, Optimal inventory model for items with imperfect quality and shortage backordering, Omega, 35 (2007), 7-11.
doi: 10.1016/j.omega.2005.01.019. |
[37] |
H. F. Yu, W. K. Hsu and W. J. Chang, EOQ model where a portion of the defectives can be used as perfect quality, Int. J. Syst. Sci., 43 (2012), 1689-1698.
doi: 10.1080/00207721.2010.549593. |
show all references
References:
[1] |
W. C. Benton and S. Park, A classification of literature on determining the lot size under quantity discounts, Eur. J. Oper. Res., 92 (1996), 219-238.
doi: 10.1016/0377-2217(95)00315-0. |
[2] |
T. H. Burwell, D. S. Dave, K. E. Fitzpatrick and M. R. Roy, Economic lot size model for price-depend demand under quantity and freight discounts, Int. J. Prod. Econ., 48 (1997), 141-155. |
[3] |
L. E. Cárdenas-Barrón, Observation on: Economic production quantity model for items with imperfect quality, Int. J. Prod. Econ., 67 (2000), 201. |
[4] |
L. E. Cárdenas-Barrón, Economic production quantity with rework process at a single-stage manufacturing system with planned backorders, Comput. Ind. Eng., 57 (2009), 1105-1113. |
[5] |
W.-M. Chan, R. N. Ibrahim and P. B. Lochert, A new EPQ model: Integrating lower pricing rework and reject situations, Prod. Plan. Control, 14 (2003), 588-595.
doi: 10.1080/09537280310001626179. |
[6] |
H. -C. Chang, An application of fuzzy sets theory to the EOQ model with imperfect quality, Comput. Oper. Res., 31 (2004), 2079-2092.
doi: 10.1016/S0305-0548(03)00166-7. |
[7] |
H.-C. Chang and C.-H. Ho, Exact closed-form solutions for optimal inventory model for items with imperfect quality and shortage backordering, Omega, 38 (2010), 233-237.
doi: 10.1016/j.omega.2009.09.006. |
[8] |
A. Eroglu and A. Ozdemir, An economic order quantity model with defective items and shortages, Int. J. Prod. Econ., 106 (2007), 544-549.
doi: 10.1016/j.ijpe.2006.06.015. |
[9] |
S. K. Goyal and L. E. Cárdenas-Barrón, Note on: Economic production quantity model for items with imperfect quality-a practical approach, Int. J. Prod. Econ., 77 (2002), 85-87.
doi: 10.1016/S0925-5273(01)00203-1. |
[10] |
J. T. Hsu and L. F. Hsu, An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns, Int. J. Prod. Econ., 143 (2013), 162-170. |
[11] |
W. K. Hsu and H. F. Yu, An EOQ model with imperfective quality items under an announced price increase, J. Chinese Ins. Ind. Eng., 28 (2011), 34-44.
doi: 10.1080/10170669.2010.532347. |
[12] |
C.-K. Huang, An optimal policy for a single-vendor single buyer integrated production-inventory problem with process unreliability consideration, Int. J. Prod. Econ., 91 (2004), 91-98.
doi: 10.1016/S0925-5273(03)00220-2. |
[13] |
M. Y. Jaber, S. K. Goyal and M. Imran, Economic production quantity model for items with imperfect quality subject to learning effects, Int. J. Prod. Econ., 115 (2008), 143-150.
doi: 10.1016/j.ijpe.2008.05.007. |
[14] |
M. Y. Jaber, S. Zanoni and L. E. Zavanella, An entropic economic order quantity (EnEOQ) for items with imperfect quality, Appl. Math. Modelling, 37 (2013), 3982-3992.
doi: 10.1016/j.apm.2012.07.046. |
[15] |
X. Ji and Z. Shao, Model and algorithm for bilevel newsboy problem with fuzzy demands and discounts, Applied Math. Comput., 172 (2006), 163-174.
doi: 10.1016/j.amc.2005.01.139. |
[16] |
M. Khan, M. Y. Jaber, A. L. Guiffrida and S. Zolfaghari, A review of the extensions of a modified EOQ model for imperfect quality items, Int. J. Prod. Econ., 132 (2011), 1-12.
doi: 10.1016/j.ijpe.2011.03.009. |
[17] |
M. Khan, M. Jaber and M. Wahab, Economic order quantity model for items with imperfect quality with learning in inspection, Int. J. Prod. Econ., 124 (2010), 87-96.
doi: 10.1016/j.ijpe.2009.10.011. |
[18] |
T. -Y. Lin and K. -L. Hou, An imperfect quality economic order quantity with advanced receiving, TOP, 23 (2015), 535-551.
doi: 10.1007/s11750-014-0352-x. |
[19] |
T. -Y. Lin, An economic order quantity with imperfect quality and quantity discounts, Applied Math. Model., 34 (2010), 3158-3165.
doi: 10.1016/j.apm.2010.02.004. |
[20] |
B. Maddah and M. Y. Jaber, Economic order quantity for items with imperfect quantity: Revisited, Int. J. Prod. Econ., 112 (2008), 808-815. |
[21] |
B. Maddah, M. K. Salameh and C. H. Karame, Lot sizing with random yield and different qualities, Appl. Math. Modelling, 33 (2010), 1997-2009.
doi: 10.1016/j.apm.2008.05.009. |
[22] |
B. Maddah, M. K. Salameh and L. Moussawi-Haidar, Order overlapping: A practical approach for preventing shortages during screening, Comput. Ind. Eng., 58 (2010), 691-695.
doi: 10.1016/j.cie.2010.01.014. |
[23] |
G. C. Mahata and A. Goswami, Fuzzy inventory models for items with imperfect quality and shortage backordering under crisp and fuzzy decision variables, Comput. Ind. Eng., 64 (2013), 190-199.
doi: 10.1016/j.cie.2012.09.003. |
[24] |
A. Mendoza and J. A. Ventura, Incorporating quantity discounts to the EOQ model with transportation costs, Int. J. Prod. Econ., 113 (2008), 754-765.
doi: 10.1016/j.ijpe.2007.10.010. |
[25] |
J. P. Monahan, A quantity discount pricing model to increase vendor profits, Manage. Sci., 30 (1984), 720-726.
doi: 10.1287/mnsc.30.6.720. |
[26] |
J. Paknejad, F. Nasri and J. F. Affisco, Quality improvement in an inventory model with finite-range stochastic lead times, Int. J. Prod. Res., 33 (2005), 2767-2777.
doi: 10.1155/JAMDS.2005.177. |
[27] |
S. Papachristos and I. Konstantaras, Economic ordering quantity models for items with imperfect quality, Int. J. Prod. Econ., 100 (2006), 148-154.
doi: 10.1016/j.ijpe.2004.11.004. |
[28] |
H. Qin, M. Luo, X. Gao and A. Lim, The freight allocation problem with all-units quantity-based discount: A heuristic algorithm, Omega, 40 (2012), 415-423.
doi: 10.1016/j.omega.2011.05.005. |
[29] |
S. M. Ross, Introduction to Probability Models, Academic Press, New York, 1993. |
[30] |
M. K. Salameh and M. Y. Jaber, Economic production quantity model for items with imperfect quality, Int. J. Prod. Econ., 64 (2000), 59-64.
doi: 10.1016/S0925-5273(99)00044-4. |
[31] |
W. Shih, Optimal inventory policies when stockouts result from defective products, Int. J. Prod. Res., 18 (1980), 677-685.
doi: 10.1080/00207548008919699. |
[32] |
E. A. Silver, Establishing the reorder quantity when amount received is uncertain, INFOR, 14 (1976), 32-39. |
[33] |
J. F. Tsai, An optimization approach for supply chain management models with quantity discount policy, Eur. J. Oper. Res., 177 (2007), 982-994.
doi: 10.1016/j.ejor.2006.01.034. |
[34] |
J. Vörös, Economic order and production quantity models without constraint on the percentage of defective items, Cent. Eur. J. Oper. Res., 21 (2013), 867-885.
doi: 10.1007/s10100-012-0277-0. |
[35] |
M. I. M. Wahab and M. Y. Jaber, Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: A note, Comput. Ind. Eng., 58 (2010), 186-190.
doi: 10.1016/j.cie.2009.07.007. |
[36] |
H.-M. Wee, J. Yu and M.-C. Chen, Optimal inventory model for items with imperfect quality and shortage backordering, Omega, 35 (2007), 7-11.
doi: 10.1016/j.omega.2005.01.019. |
[37] |
H. F. Yu, W. K. Hsu and W. J. Chang, EOQ model where a portion of the defectives can be used as perfect quality, Int. J. Syst. Sci., 43 (2012), 1689-1698.
doi: 10.1080/00207721.2010.549593. |
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