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The retailer’s optimal decision on order quantity and credit periods under two-level trade credit policy

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  • Fei Hu

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  • Cheng-Chew Lim
  • Zudi Lu

Abstract

In this paper, we propose an inventory model under two-level trade credit policy, where the supplier offers quantity discounts and allows the retailer to choose the period of delay in payments that determines the unit purchasing cost, and so retailer’s unit purchasing cost is a function of both ordering quantity and his/her allowed credit period. Furthermore, the demand function is relevant to the credit period offered by the retailer to his/her customers. Our objective here is to maximize the retailer’s total profit per unit time by solving the optimal decision on ordering quantity and two credit periods. An effective algorithm is developed to determine the optimal solution to the problem. Numerical examples are provided to illustrate the impact of the model parameters on the optimal solutions. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Fei Hu & Cheng-Chew Lim & Zudi Lu, 2015. "The retailer’s optimal decision on order quantity and credit periods under two-level trade credit policy," Journal of Global Optimization, Springer, vol. 62(4), pages 833-852, August.
  • Handle: RePEc:spr:jglopt:v:62:y:2015:i:4:p:833-852
    DOI: 10.1007/s10898-014-0258-z
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    References listed on IDEAS

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    1. Sana, Shib Sankar & Chaudhuri, K.S., 2008. "A deterministic EOQ model with delays in payments and price-discount offers," European Journal of Operational Research, Elsevier, vol. 184(2), pages 509-533, January.
    2. Chung, Kun-Jen & Huang, Yung-Fu, 2003. "The optimal cycle time for EPQ inventory model under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 84(3), pages 307-318, June.
    3. 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.
    4. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    5. Huang, Yung-Fu, 2007. "Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1577-1591, February.
    6. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Chuang, Kai-Wayne & Chuang, Bor-Ren, 2005. "Optimal inventory policy with noninstantaneous receipt under trade credit," International Journal of Production Economics, Elsevier, vol. 98(3), pages 290-300, December.
    7. Song, Xiping & Cai, Xiaoqiang, 2006. "On optimal payment time for a retailer under permitted delay of payment by the wholesaler," International Journal of Production Economics, Elsevier, vol. 103(1), pages 246-251, September.
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    Cited by:

    1. Yiju Wang & Hengxia Gao & Wei Xing, 2018. "Optimal replenishment and stocking strategies for inventory mechanism with a dynamically stochastic short-term price discount," Journal of Global Optimization, Springer, vol. 70(1), pages 27-53, January.

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