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Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount

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  • Shah, Nita H.
  • Cárdenas-Barrón, Leopoldo Eduardo

Abstract

In this study, the retailer’s decision for ordering and credit policies is analyzed when a supplier offers its retailer either a cash discount or a fixed credit period if the order quantity is greater than or equal to regular order policy. Then the retailer offers credit period to its customer which increases the demand and default risk and decreases profit. Furthermore, the units in the retailer’s inventory system deteriorate at a constant rate. Some theoretical results are derived to compute the optimal solution. The theoretical results are supported by numerical examples. The managerial acumens are provided.

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  • Shah, Nita H. & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 569-578.
  • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:569-578
    DOI: 10.1016/j.amc.2015.03.010
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    References listed on IDEAS

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    1. Jaggi, Chandra K. & Goyal, S.K. & Goel, S.K., 2008. "Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 190(1), pages 130-135, October.
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    5. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    6. 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.
    7. 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.
    8. 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.
    9. Chung, Kun-Jen & Eduardo Cárdenas-Barrón, Leopoldo & Ting, Pin-Shou, 2014. "An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit," International Journal of Production Economics, Elsevier, vol. 155(C), pages 310-317.
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    Cited by:

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    4. Ata Allah Taleizadeh & Nadia Pourmohammad-Zia & Ioannis Konstantaras, 2021. "Partial linked-to-order delayed payment and life time effects on decaying items ordering," Operational Research, Springer, vol. 21(3), pages 2077-2099, September.
    5. Ateka Banu & Shyamal Kumar Mondal, 2018. "An integrated inventory model with warranty dependent credit period under two policies of a manufacturer," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 677-702, November.
    6. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    7. Sadia Samar Ali & Haripriya Barman & Rajbir Kaur & Hana Tomaskova & Sankar Kumar Roy, 2021. "Multi-Product Multi Echelon Measurements of Perishable Supply Chain: Fuzzy Non-Linear Programming Approach," Mathematics, MDPI, vol. 9(17), pages 1-27, August.
    8. Johari, Maryam & Hosseini-Motlagh, Seyyed-Mahdi, 2022. "Evolutionary behaviors regarding pricing and payment-convenience strategies with uncertain risk," European Journal of Operational Research, Elsevier, vol. 297(2), pages 600-614.
    9. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    10. Majumder, P. & Bera, U.K. & Maiti, M., 2016. "An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 430-458.
    11. Mu, Xiuqing & Kang, Kai & Zhang, Jing, 2022. "Dual-channel supply chain coordination considering credit sales competition," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    12. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    13. Johari, Maryam & Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Goh, Mark & Ignatius, Joshua, 2018. "Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 270-291.
    14. Juanjuan Qin & Aina Zhang & Liangjie Xia & Mengqi Liu, 2017. "Retail Order-Taking Strategies Under Competing Trade Credit Policies With Varying Demands," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(01), pages 1-17, February.
    15. Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Johari, Maryam & Sarker, Bhaba R., 2018. "A collaborative model for coordination of monopolistic manufacturer's promotional efforts and competing duopolistic retailers' trade credits," International Journal of Production Economics, Elsevier, vol. 204(C), pages 108-122.
    16. Yu, Jonas C.P., 2019. "Optimizing a two-warehouse system under shortage backordering, trade credit, and decreasing rental conditions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 147-155.
    17. Ateka Banu & Shyamal Kumar Mondal, 2020. "Analyzing an inventory model with two-level trade credit period including the effect of customers’ credit on the demand function using q-fuzzy number," Operational Research, Springer, vol. 20(3), pages 1559-1587, September.
    18. Ali Akbar Shaikh & Leopoldo Eduardo Cárdenas-Barrón & Amalesh Kumar Manna & Armando Céspedes-Mota & Gerardo Treviño-Garza, 2021. "Two Level Trade Credit Policy Approach in Inventory Model with Expiration Rate and Stock Dependent Demand under Nonzero Inventory and Partial Backlogged Shortages," Sustainability, MDPI, vol. 13(23), pages 1-19, December.
    19. Wang, Chengfu & Fan, Xiaojun & Yin, Zhe, 2019. "Financing online retailers: Bank vs. electronic business platform, equilibrium, and coordinating strategy," European Journal of Operational Research, Elsevier, vol. 276(1), pages 343-356.
    20. Deepak Singhal & Sarat Kumar Jena & Satyabrata Aich & Sushanta Tripathy & Hee-Cheol Kim, 2021. "Remanufacturing for Circular Economy: Understanding the Impact of Manufacturer’s Incentive under Price Competition," Sustainability, MDPI, vol. 13(21), pages 1-19, October.
    21. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.

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