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Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain

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  • Mohsen Lashgari
  • Ata Taleizadeh
  • Abbas Ahmadi

Abstract

In a competitive market, the retailers, in order to encourage the customers to increase their orders, give them the opportunity to pay a fraction of the purchasing cost after delivery of the ordered items (i.e., down-stream partial delayed payment). On the other hand, the suppliers, in order to reduce the risk of cancellations of orders from buyers, may ask the retailers to pay a portion of the purchasing cost before delivery of products (i.e., up-stream partial prepayment). In this paper, an EOQ model with down-stream partial delayed payment and up-stream partial prepayment under three different scenarios (without shortage, with full backordering and with partial backordering) is presented. In order to find the optimal solutions of the models developed for different scenarios, the convexity of the objective functions (i.e., total cost functions) are proved and then closed-form optimal solutions are derived. Also, a solution algorithm is proposed for the model of the third scenario. To demonstrate the applicability of the framework, some numerical examples are presented. Finally, sensitivity analyses are made on several key parameters, in order to gain some managerial insight. Copyright Springer Science+Business Media New York 2016

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  • Mohsen Lashgari & Ata Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:p:329-354:10.1007/s10479-015-2100-5
    DOI: 10.1007/s10479-015-2100-5
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    Cited by:

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    2. Ata Allah Taleizadeh & Zahedeh Cheraghi & Leopoldo Eduardo Cárdenas-Barrón & Mahsa Noori-Daryan, 2021. "Studying the Effect of Noise on Pricing and Marketing Decisions of New Products under Co-op Advertising Strategy in Supply Chains: Game Theoretical Approaches," Mathematics, MDPI, vol. 9(11), pages 1-26, May.
    3. Wen Zhang & Weizhe Yang, 2021. "Optimal pre-order strategy with delay in payments," Annals of Operations Research, Springer, vol. 305(1), pages 347-374, October.
    4. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    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. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    7. Wang, Kai & Ding, Peiqi & Zhao, Ruiqing, 2021. "Strategic credit sales to express retail under asymmetric default risk and stochastic market demand," Omega, Elsevier, vol. 101(C).
    8. Ata Allah Taleizadeh & Leila Aliabadi & Park Thaichon, 2022. "A sustainable inventory system with price-sensitive demand and carbon emissions under partial trade credit and partial backordering," Operational Research, Springer, vol. 22(4), pages 4471-4516, September.
    9. Liping Wang & Zhijia Wang & Lili Tian & Chuang Li, 2022. "Evolutionary Game and Numerical Simulation of Enterprises’ Green Technology Innovation: Based on the Credit Sales Financing Service of Supply Chain," Sustainability, MDPI, vol. 15(1), pages 1-25, December.
    10. Alaei, Amir Mohammad & Taleizadeh, Ata Allah & Rabbani, Masoud, 2022. "Marketplace, reseller, or web-store channel: The impact of return policy and cross-channel spillover from marketplace to web-store," Journal of Retailing and Consumer Services, Elsevier, vol. 65(C).
    11. Magfura Pervin & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2018. "Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration," Annals of Operations Research, Springer, vol. 260(1), pages 437-460, January.
    12. Dec, P. & Masiukiewicz, P., 2019. "Payment Bottlenecks as a Crisis Factor in European Enterprises: A Case of Poland," Journal of Applied Management and Investments, Department of Business Administration and Corporate Security, International Humanitarian University, vol. 8(2), pages 78-87, May.
    13. Al-Amin Khan, Md. & Shaikh, Ali Akbar & Konstantaras, Ioannis & Bhunia, Asoke Kumar & Cárdenas-Barrón, Leopoldo Eduardo, 2020. "Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price," International Journal of Production Economics, Elsevier, vol. 230(C).
    14. Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
    15. Yan Shi & Zhiyong Zhang & Sunil Tiwari & Zhiwen Tao, 2022. "Retailer's optimal strategy for a perishable product with increasing demand under various payment schemes," Annals of Operations Research, Springer, vol. 315(2), pages 899-929, August.
    16. Yu-Chung Tsao & Aisyah Dewi Muthi’ah & Thuy-Linh Vu & Niniet Indah Arvitrida, 2021. "Supply chain network design under advance-cash-credit payment," Annals of Operations Research, Springer, vol. 305(1), pages 251-272, October.
    17. Barron, Yonit, 2023. "A stochastic card balance management problem with continuous and batch-type bilateral transactions," Operations Research Perspectives, Elsevier, vol. 10(C).
    18. 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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