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Retailer’s economic order quantity when the supplier offers conditionally permissible delay in payments link to order quantity

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  • Chen, Sheng-Chih
  • Cárdenas-Barrón, Leopoldo Eduardo
  • Teng, Jinn-Tsair
Abstract
Trade credit financing is increasingly recognized as an important strategy to increase profitability in Inventory Management. We revisit an economic order quantity model under conditionally permissible delay in payments, in which the supplier offers the retailer a fully permissible delay of M periods (i.e., there is no interest charge until M) if the retailer orders more than or equal to a predetermined quantity W. However, if the retailer’s order quantity is less than W, then the retailer must make a partial payment to the supplier, and enjoy a permissible delay of M periods for the remaining balance. In this paper, we extend the mentioned EOQ under conditionally permissible delay in payments to complement some shortcomings of the model. By contrast to the differential calculus method, we propose a simple arithmetic–geometric method to solve the problem. Furthermore, we establish some discrimination terms to identify the unique optimal solution among three alternatives, and explain those theoretical results by simply economical interpretations. Finally, we solve several numerical examples to illustrate the theoretical results and obtain some managerial implications.

Suggested Citation

  • Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Teng, Jinn-Tsair, 2014. "Retailer’s economic order quantity when the supplier offers conditionally permissible delay in payments link to order quantity," International Journal of Production Economics, Elsevier, vol. 155(C), pages 284-291.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:284-291
    DOI: 10.1016/j.ijpe.2013.05.032
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    References listed on IDEAS

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    1. Jinn-Tsair Teng & Kuo-Ren Lou, 2012. "Seller’s optimal credit period and replenishment time in a supply chain with up-stream and down-stream trade credits," Journal of Global Optimization, Springer, vol. 53(3), pages 417-430, July.
    2. 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.
    3. Chun-Tao Chang & Jinn-Tsair Teng & Suresh Kumar Goyal, 2008. "Inventory Lot-Size Models Under Trade Credits: A Review," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 89-112.
    4. Teng, Jinn-Tsair, 2009. "A simple method to compute economic order quantities," European Journal of Operational Research, Elsevier, vol. 198(1), pages 351-353, October.
    5. Kun-Jen Chung, 2012. "On the validity of the arithmetic–geometric mean method to locate the optimal solution in a supply chain system," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(8), pages 1454-1463.
    6. Teng, Jinn-Tsair & Krommyda, Iris-Pandora & Skouri, Konstantina & Lou, Kuo-Ren, 2011. "A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 215(1), pages 97-104, November.
    7. Chang, Chun-Tao & Teng, Jinn-Tsair & Chern, Maw-Sheng, 2010. "Optimal manufacturer's replenishment policies for deteriorating items in a supply chain with up-stream and down-stream trade credits," International Journal of Production Economics, Elsevier, vol. 127(1), pages 197-202, September.
    8. Goyal, Suresh Kumar & Teng, Jinn-Tsair & Chang, Chun-Tao, 2007. "Optimal ordering policies when the supplier provides a progressive interest scheme," European Journal of Operational Research, Elsevier, vol. 179(2), pages 404-413, June.
    9. Teng, Jinn-Tsair, 2009. "Optimal ordering policies for a retailer who offers distinct trade credits to its good and bad credit customers," International Journal of Production Economics, Elsevier, vol. 119(2), pages 415-423, June.
    10. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    11. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
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    14. Huang, Yung-Fu & Hsu, Kuang-Hua, 2008. "An EOQ model under retailer partial trade credit policy in supply chain," International Journal of Production Economics, Elsevier, vol. 112(2), pages 655-664, April.
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