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Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis

Author

Listed:
  • Wu, Jiang
  • Al-khateeb, Faisal B.
  • Teng, Jinn-Tsair
  • Cárdenas-Barrón, Leopoldo Eduardo

Abstract

Getting loans from banks are almost impossible after 2008 global financial crisis. As a result, about 80% of companies in United Kingdom and United States offer their products on various short-term, free-interest loans (i.e., trade credit) to customers. Numerous researchers and academicians apply discounted cash flow (DCF) analysis merely to compute the interest earned and charged during the credit period but not to the revenue and other costs which are considerably larger than the interest earned and charged. For a rigorous analysis, the DCF on all relevant costs is applied. In addition, many products deteriorate continuously and cannot be sold after their maximum lifetimes or expiration dates. However, very few researchers and investigators have implemented the product lifetime expectance into their models. In this paper, a supplier–retailer–customer chain system is developed in which the retailer gets an upstream full trade credit from the supplier whereas offers a downstream partial trade credit to credit-risk customers, the deterioration rate is non-decreasing over time and near 100% particularly close to its expiration date, and DCF analysis is applied to compute all relevant costs. This paper demonstrates that the retailer’s optimal replenishment cycle time not only exists but also is unique. Thus, the search of the global optimal reduces to finding a local solution. Finally, several numerical examples and sensitivity analysis are performed in order to illustrate the problem and obtain managerial insights.

Suggested Citation

  • Wu, Jiang & Al-khateeb, Faisal B. & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 105-115.
  • Handle: RePEc:eee:proeco:v:171:y:2016:i:p1:p:105-115
    DOI: 10.1016/j.ijpe.2015.10.020
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    References listed on IDEAS

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    1. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    2. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    3. Chern, Maw-Sheng & Pan, Qinhua & Teng, Jinn-Tsair & Chan, Ya-Lan & Chen, Sheng-Chih, 2013. "Stackelberg solution in a vendor–buyer supply chain model with permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 144(1), pages 397-404.
    4. 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.
    5. Chung, Kun-Jen & Liao, Jui-Jung, 2006. "The optimal ordering policy in a DCF analysis for deteriorating items when trade credit depends on the order quantity," International Journal of Production Economics, Elsevier, vol. 100(1), pages 116-130, March.
    6. 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.
    7. Dye, Chung-Yuan & Yang, Chih-Te & Kung, Fang-Cheng, 2014. "A note on “Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime”," European Journal of Operational Research, Elsevier, vol. 239(3), pages 868-871.
    8. 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.
    9. Chen, Sheng-Chih & Teng, Jinn-Tsair & Skouri, Konstantina, 2014. "Economic production quantity models for deteriorating items with up-stream full trade credit and down-stream partial trade credit," International Journal of Production Economics, Elsevier, vol. 155(C), pages 302-309.
    10. Wu, Jiang & Chan, Ya-Lan, 2014. "Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers," International Journal of Production Economics, Elsevier, vol. 155(C), pages 292-301.
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    13. Teng, Jinn-Tsair & Min, Jie & Pan, Qinhua, 2012. "Economic order quantity model with trade credit financing for non-decreasing demand," Omega, Elsevier, vol. 40(3), pages 328-335.
    14. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    15. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
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    1. repec:eee:proeco:v:193:y:2017:i:c:p:343-351 is not listed on IDEAS
    2. repec:eee:transe:v:114:y:2018:i:c:p:270-291 is not listed on IDEAS
    3. repec:taf:nmcmxx:v:24:y:2018:i:1:p:1-11 is not listed on IDEAS
    4. repec:spr:annopr:v:264:y:2018:i:1:d:10.1007_s10479-017-2673-2 is not listed on IDEAS
    5. repec:eee:proeco:v:196:y:2018:i:c:p:319-332 is not listed on IDEAS
    6. Qiu, Xuan & Huang, George Q., 2016. "Transportation service sharing and replenishment/delivery scheduling in Supply Hub in Industrial Park (SHIP)," International Journal of Production Economics, Elsevier, vol. 175(C), pages 109-120.
    7. repec:eee:proeco:v:200:y:2018:i:c:p:16-36 is not listed on IDEAS
    8. Bian, Yuan & Lemoine, David & Yeung, Thomas G. & Bostel, Nathalie & Hovelaque, Vincent & Viviani, Jean-laurent & Gayraud, Fabrice, 2018. "A dynamic lot-sizing-based profit maximization discounted cash flow model considering working capital requirement financing cost with infinite production capacity," International Journal of Production Economics, Elsevier, vol. 196(C), pages 319-332.
    9. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.

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