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A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment

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  • Pourmohammad Zia, Nadia
  • Taleizadeh, Ata Allah

Abstract

An economic order quantity model with backordering is investigated under a hybrid payment scheme. The payment scheme, which is also linked to order quantity, involves multiple advance payments as well as delayed payment. Incorporating this payment scheme can efficiently stimulate sales due to applying delayed payment; besides it provides the benefits of advance payment such as controlling the risk of cash flow. The developed model seeks to optimize the order and shortage quantities. Theoretical results are developed to determine the conditions of existence and uniqueness of the optimal solutions. Numerical examples illustrate the proposed model and solution method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transe:v:82:y:2015:i:c:p:19-37
    DOI: 10.1016/j.tre.2015.07.008
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    2. Umakanta Mishra & Abu Hashan Md Mashud & Ming-Lang Tseng & Jei-Zheng Wu, 2021. "Optimizing a Sustainable Supply Chain Inventory Model for Controllable Deterioration and Emission Rates in a Greenhouse Farm," Mathematics, MDPI, vol. 9(5), pages 1-23, February.
    3. Raj, Praveen Vijaya Raj Pushpa & Nagarajan, Bagathsingh & Schoenherr, Tobias & Ramkumar, M., 2023. "A comparative investigation of a seller’s disaster payment period policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    4. 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.
    5. Choi, Tsan-Ming & Shi, Xiutian, 2022. "Reducing supply risks by supply guarantee deposit payments in the fashion industry in the “new normal after COVID-19”," Omega, Elsevier, vol. 109(C).
    6. 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).
    7. Chuan Zhang & Yu-xin Tian & Ling-wei Fan & Shu-min Yang, 2021. "Optimal ordering policy for a retailer with consideration of customer credit under two-level trade credit financing," Operational Research, Springer, vol. 21(4), pages 2409-2432, December.
    8. Bhaskar Bhaula & Jayanta Kumar Dash & M. Rajendra Kumar, 2019. "An optimal inventory model for perishable items under successive price discounts with permissible delay in payments," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 261-281, March.
    9. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.

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