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An EOQ model with allowable shortage under trade credit in different scenario

Author

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  • Jaggi, Chandra K.
  • Yadavalli, V.S.S.
  • Verma, Mona
  • Sharma, Anuj

Abstract

In present business culture, usually supplier offers a permissible delay in payments to retailer in order to stimulate his demand. However, while developing the inventory model with shortages under permissible delay in payments, it has been observed, in the literature, that researcher have not considered the fact that retailer can earn interest on the revenue generated after fulfilling the outstanding demand as soon as his new consignment arrives at the beginning of the cycle. Thus, the revenue along with the interest earn can be utilized to pay off the amount at the of credit period. At this point of time there may be two scenarios, either he has enough amounts to settle the account with the supplier or delay incurring interest charges on the unpaid/overdue balance and the determination of a retailer’s pay off time, after the expiring of credit period, is largely affected by his interest income and interest payable. Owing to these facts, a retailer cost minimization inventory model has been developed for each scenario which jointly optimizes the cycle length and stock-in period. The model has been validated with the help of numerical example. Sensitivity analysis along with its economic interpretation has been also presented.

Suggested Citation

  • Jaggi, Chandra K. & Yadavalli, V.S.S. & Verma, Mona & Sharma, Anuj, 2015. "An EOQ model with allowable shortage under trade credit in different scenario," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 541-551.
    • Handle: RePEc:eee:apmaco:v:252:y:2015:i:c:p:541-551
    DOI: 10.1016/j.amc.2014.12.040
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Teng, Jinn-Tsair & Chang, Chun-Tao & Goyal, Suresh Kumar, 2005. "Optimal pricing and ordering policy under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 97(2), pages 121-129, August.
    4. 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.
    5. 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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    Cited by:

    1. Biswajit Sarkar & Waqas Ahmed & Seok-Beom Choi & Muhammad Tayyab, 2018. "Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period," Sustainability, MDPI, vol. 10(12), pages 1-28, December.
    2. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    3. Yuhao Wang & Jiaxian Shen & Jinnan Pan & Tingqiang Chen, 2022. "A Credit Risk Contagion Intensity Model of Supply Chain Enterprises under Different Credit Modes," Sustainability, MDPI, vol. 14(20), pages 1-26, October.
    4. Wang Luqi & Zhang Ruijie & Chen Zhijian & Chen Mingyao, 2019. "Inventory Policy for a Deteriorating Item with Time-Varying Demand Under Trade Credit and Inflation," Journal of Systems Science and Information, De Gruyter, vol. 7(2), pages 115-133, April.
    5. 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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