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A genetic algorithm for a joint replenishment problem with resource and shipment constraints and defective items

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  • Ongkunaruk, P.
  • Wahab, M.I.M.
  • Chen, Y.

Abstract

A joint replenishment problem (JRP) is presented to determine the optimal reordering policy for multiple items with defective quantity and several restrictions such as shipment constraint, budget constraint, and transportation capacity constraint. The objective is to minimize the total expected cost per unit time. A two-dimensional genetic algorithm (GA) is provided to determine an optimal family cycle length and the reorder frequencies. A numerical example is presented and the results are discussed including the effect of defective items on the ordering policy. Extensive computational experiments are performed to test the performance of the GA. The JRP was also solved by a differential evolution (DE) algorithm and the results obtained from DE were compared with those obtained from GA.

Suggested Citation

  • Ongkunaruk, P. & Wahab, M.I.M. & Chen, Y., 2016. "A genetic algorithm for a joint replenishment problem with resource and shipment constraints and defective items," International Journal of Production Economics, Elsevier, vol. 175(C), pages 142-152.
    • Handle: RePEc:eee:proeco:v:175:y:2016:i:c:p:142-152
    DOI: 10.1016/j.ijpe.2016.02.012
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    1. Goyal, S. K., 2002. "Note: Reply to R.A. Sarker," International Journal of Production Economics, Elsevier, vol. 77(1), pages 91-91, May.
    2. Robinson, Powell & Narayanan, Arunachalam & Sahin, Funda, 2009. "Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms," Omega, Elsevier, vol. 37(1), pages 3-15, February.
    3. Papachristos, S. & Konstantaras, I., 2006. "Economic ordering quantity models for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 100(1), pages 148-154, March.
    4. Wang, Lin & He, Jing & Wu, Desheng & Zeng, Yu-Rong, 2012. "A novel differential evolution algorithm for joint replenishment problem under interdependence and its application," International Journal of Production Economics, Elsevier, vol. 135(1), pages 190-198.
    5. Moon, I.K. & Cha, B.C., 2006. "The joint replenishment problem with resource restriction," European Journal of Operational Research, Elsevier, vol. 173(1), pages 190-198, August.
    6. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    7. van Eijs, M. J. G. & Heuts, R. M. J. & Kleijnen, J. P. C., 1992. "Analysis and comparison of two strategies for multi-item inventory systems with joint replenishment costs," European Journal of Operational Research, Elsevier, vol. 59(3), pages 405-412, June.
    8. Wahab, M.I.M. & Mamun, S.M.H. & Ongkunaruk, P., 2011. "EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact," International Journal of Production Economics, Elsevier, vol. 134(1), pages 151-158, November.
    9. Frank T. Shu, 1971. "Economic Ordering Frequency for two Items Jointly Replenished," Management Science, INFORMS, vol. 17(6), pages 406-410, February.
    10. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    11. Maddah, Bacel & Jaber, Mohamad Y., 2008. "Economic order quantity for items with imperfect quality: Revisited," International Journal of Production Economics, Elsevier, vol. 112(2), pages 808-815, April.
    12. Wildeman, R.E. & Frenk, J.B.G. & Dekker, R., 1997. "An efficient optimal solution method for the joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 99(2), pages 433-444, June.
    13. S. K. Goyal, 1974. "Determination of Optimum Packaging Frequency of Items Jointly Replenished," Management Science, INFORMS, vol. 21(4), pages 436-443, December.
    14. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    15. Olsen, Anne L., 2008. "Inventory replenishment with interdependent ordering costs: An evolutionary algorithm solution," International Journal of Production Economics, Elsevier, vol. 113(1), pages 359-369, May.
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    Cited by:

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    2. Taleizadeh, Ata Allah & Khanbaglo, Mahboobeh Perak Sari & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "An EOQ inventory model with partial backordering and reparation of imperfect products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 418-434.
    3. Xuefei Shi & Haiyan Wang, 2022. "Design of the cost allocation rule for joint replenishment to an overseas warehouse with a piecewise linear holding cost rate," Operational Research, Springer, vol. 22(5), pages 4905-4929, November.
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    5. Carvajal, Jimmy & Castaño, Fabian & Sarache, William & Costa, Yasel, 2020. "Heuristic approaches for a two-echelon constrained joint replenishment and delivery problem," International Journal of Production Economics, Elsevier, vol. 220(C).

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