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The joint replenishment problem with trade credits

Author

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  • Jen-Yen Lin

    (National Chiayi University)

  • Ming-Jong Yao

    (National Chiao Tung University)

Abstract

It is a widespread financial practice in procurement management for a supplier aiming to attract customers to offer trade credits when customers make inquiries about the sold products. In this paper, we examine the joint replenishment problem considering trade credits (JRP-TC) under the power-of-two (PoT) policy. We formulate a mathematical model and conduct an analysis that reveals insights into the properties of the optimal objective function. From there, we propose an effective search algorithm that obtains the global optimal solution for the JRP-TC under the PoT policy. Our complexity analysis shows that the JRP-TC and the conventional joint replenishment problem under the PoT policy are pseudo-polynomial time solvable.

Suggested Citation

  • Jen-Yen Lin & Ming-Jong Yao, 2020. "The joint replenishment problem with trade credits," Journal of Global Optimization, Springer, vol. 76(2), pages 347-382, February.
    • Handle: RePEc:spr:jglopt:v:76:y:2020:i:2:d:10.1007_s10898-019-00851-5
    DOI: 10.1007/s10898-019-00851-5
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    1. Heydari, Jafar & Rastegar, Mehdi & Glock, Christoph H., 2017. "A two-level delay in payments contract for supply chain coordination: The case of credit-dependent demand," International Journal of Production Economics, Elsevier, vol. 191(C), pages 26-36.
    2. S Viswanathan, 2002. "On optimal algorithms for the joint replenishment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1286-1290, November.
    3. 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.
    4. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Goyal, Suresh Kumar & Yang, Chih-Te, 2009. "An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity," European Journal of Operational Research, Elsevier, vol. 194(2), pages 418-431, April.
    5. 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.
    6. Dinçer Konur & Brian Schaefer, 2016. "Economic and environmental comparison of grouping strategies in coordinated multi-item inventory systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(3), pages 421-436, March.
    7. Jamal, A. M. M. & Sarker, Bhaba R. & Wang, Shaojun, 2000. "Optimal payment time for a retailer under permitted delay of payment by the wholesaler," International Journal of Production Economics, Elsevier, vol. 66(1), pages 59-66, June.
    8. 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.
    9. Chung, Kun-Jen & Goyal, Suresh Kumar & Huang, Yung-Fu, 2005. "The optimal inventory policies under permissible delay in payments depending on the ordering quantity," International Journal of Production Economics, Elsevier, vol. 95(2), pages 203-213, February.
    10. Zhang, Qinhong & Dong, Ming & Luo, Jianwen & Segerstedt, Anders, 2014. "Supply chain coordination with trade credit and quantity discount incorporating default risk," International Journal of Production Economics, Elsevier, vol. 153(C), pages 352-360.
    11. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    12. Chi Kin Chan & Y.C.E. Lee & Suresh Kumar Goyal, 2016. "Synchronisation of order cycles of multiple buyers in a supply chain with trade credit policy," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 27(4), pages 562-588.
    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. Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
    15. Tsao, Yu-Chung, 2010. "Managing multi-echelon multi-item channels with trade allowances under credit period," International Journal of Production Economics, Elsevier, vol. 127(2), pages 226-237, October.
    16. Heydari, J. & Rastegar, M. & Glock, C. H., 2017. "A two-level delay in payments contract for supply chain coordination: The case of credit-dependent demand," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 87241, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    17. Kin Chan, Chi & Lee, Y.C.E. & Goyal, S.K., 2010. "A delayed payment method in co-ordinating a single-vendor multi-buyer supply chain," International Journal of Production Economics, Elsevier, vol. 127(1), pages 95-102, September.
    18. Porras Musalem, E. & Dekker, R., 2004. "On the efficiency of optimal algorithms for the joint replenishment problem: a comparative study," Econometric Institute Research Papers EI 2004-33, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    19. Sunil Kawale & Yogita Sanas, 2017. "A review on inventory models under trade credit," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(4), pages 520-543.
    20. Goyal, Suresh K. & Satir, Ahmet T., 1989. "Joint replenishment inventory control: Deterministic and stochastic models," European Journal of Operational Research, Elsevier, vol. 38(1), pages 2-13, January.
    21. Edward A. Silver, 1976. "A Simple Method of Determining Order Quantities in Joint Replenishments Under Deterministic Demand," Management Science, INFORMS, vol. 22(12), pages 1351-1361, August.
    22. R Y K Fung & X Ma, 2001. "A new method for joint replenishment problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 358-362, March.
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