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An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint

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  • Khan, Md. Al-Amin
  • Shaikh, Ali Akbar
  • Cárdenas-Barrón, Leopoldo Eduardo

Abstract

A profit maximizing economic order quantity (EOQ) model is studied under linked-to-order hybrid prepayment and delay payment scheme considering the practical scenario that the capacity of the retailer's own warehouse (OW) is limited. Shortages are allowed which are accumulated partially during the stock out period. The main objective is to decide whether a rented warehouse (RW) is needed to obtain the optimal ordering and replenishment policies for a retailer. The closed-form optimal solutions are found examining all possible cases and an algorithm is constructed to achieve the global optimal solutions for the retailer. Finally, some management insights are drawn by observing the applicability of the developed algorithm and also by performing sensitivity analyses on different parameters.

Suggested Citation

  • Khan, Md. Al-Amin & Shaikh, Ali Akbar & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "An inventory model under linked-to-order hybrid partial advance payment, partial credit policy, all-units discount and partial backlogging with capacity constraint," Omega, Elsevier, vol. 103(C).
  • Handle: RePEc:eee:jomega:v:103:y:2021:i:c:s030504832100027x
    DOI: 10.1016/j.omega.2021.102418
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    References listed on IDEAS

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    1. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    2. 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.
    3. Zhang, Qinhong & Zhang, Dali & Tsao, Yu-Chung & Luo, Jianwen, 2016. "Optimal ordering policy in a two-stage supply chain with advance payment for stable supply capacity," International Journal of Production Economics, Elsevier, vol. 177(C), pages 34-43.
    4. Liao, Jui-Jung & Huang, Kuo-Nan & Chung, Kun-Jen, 2012. "Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit," International Journal of Production Economics, Elsevier, vol. 137(1), pages 102-115.
    5. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, vol. 54(C), pages 147-157.
    6. Taleizadeh, Ata Allah & Pentico, David W., 2014. "An Economic Order Quantity model with partial backordering and all-units discount," International Journal of Production Economics, Elsevier, vol. 155(C), pages 172-184.
    7. Deng, Sijing & Fu, Ke & Xu, Jiayan & Zhu, Kaijie, 2021. "The supply chain effects of trade credit under uncertain demands," Omega, Elsevier, vol. 98(C).
    8. Taleizadeh, Ata Allah & Pentico, David W. & Saeed Jabalameli, Mohammad & Aryanezhad, Mirbahador, 2013. "An EOQ model with partial delayed payment and partial backordering," Omega, Elsevier, vol. 41(2), pages 354-368.
    9. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 19-37.
    10. 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.
    11. Ries, Jörg M. & Glock, Christoph H. & Schwindl, Kurt, 2017. "The influence of financial conditions on optimal ordering and payment policies under progressive interest schemes," Omega, Elsevier, vol. 70(C), pages 15-30.
    12. 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.
    13. Zhou, Yong-Wu & Yang, Shan-Lin, 2005. "A two-warehouse inventory model for items with stock-level-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 95(2), pages 215-228, February.
    14. Mohsen Lashgari & Ata Allah Taleizadeh & Seyed Jafar Sadjadi, 2018. "Ordering policies for non-instantaneous deteriorating items under hybrid partial prepayment, partial trade credit and partial backordering," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(8), pages 1167-1196, August.
    15. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    16. Zhang, Alex X., 1996. "Optimal advance payment scheme involving fixed per-payment costs," Omega, Elsevier, vol. 24(5), pages 577-582, October.
    17. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    18. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Goyal, Suresh Kumar & Yang, Chih-Te, 2009. "An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity," European Journal of Operational Research, Elsevier, vol. 194(2), pages 418-431, April.
    19. Vandana, & Kaur, Arshinder, 2019. "Two-level trade credit with default risk in the supply chain under stochastic demand," Omega, Elsevier, vol. 88(C), pages 4-23.
    20. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    21. Wutthisirisart, Phichet & Sir, Mustafa Y. & Noble, James S., 2015. "The two-warehouse material location selection problem," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 780-789.
    22. Sarma, K. V. S., 1987. "A deterministic order level inventory model for deteriorating items with two storage facilities," European Journal of Operational Research, Elsevier, vol. 29(1), pages 70-73, April.
    23. 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.
    24. 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.
    25. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
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    Cited by:

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    2. Ghiami, Yousef, 2023. "An analysis on production and inventory models with discounted cash-flows," Omega, Elsevier, vol. 117(C).
    3. Cao, Yunzhi & Zhu, Xiaoyan & Yan, Houmin, 2022. "Data-driven Wasserstein distributionally robust mitigation and recovery against random supply chain disruption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
    4. Md. Abdul Hakim & Ibrahim M. Hezam & Adel Fahad Alrasheedi & Jeonghwan Gwak, 2022. "Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item," Sustainability, MDPI, vol. 14(8), pages 1-16, April.
    5. Majed G. Alharbi, 2022. "Carbon Reduction Technology Based on Imperfect Production System for Deteriorating Items with Warranty Periods and Greenness Dependent Demand," Sustainability, MDPI, vol. 14(22), pages 1-16, November.

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