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Optimal inventory policies for time varying deteriorating items with dynamic demand under upstream and downstream trade credit by discounted cash-flow analysis

Author

Listed:
  • Sudipa Das

    (Sidho-Kanho-Birsha University)

  • Mukunda Choudhury

    (Sidho-Kanho-Birsha University)

  • Gour Chandra Mahata

    (Sidho-Kanho-Birsha University)

Abstract

This paper envisages the problem concerning varying degrading commodities with dynamic demand under upstream and downstream trade credit. In this article, we have constructed an EOQ model by incorporating a general type of selling price and time-reliant demand function on an infinite time horizon environment with degrading commodities having their certain maximum lifetime. Partial backlogging in shortages has been incorporated in this study, moreover, the backlogging function is reliant on waiting time. In order to maximize the present value of the net profit, this study aims to ascertain the ideal retail price $$(p)$$ ( p ) and non-zero ending inventory time point $$\left(\tau \right)$$ τ for two separate credit durations. We discuss the optimization properties and develop an algorithm for solving the problem based on classical optimization techniques. Extensive theoretical, numerical development and graphical representation have been incorporated for the validity and reliability of the suggested model. The influence of numerous key inventory parameters and a robust managerial insight incorporated in this study assist managers in taking the right decision and escalating his/her business in a proper planning way.

Suggested Citation

  • Sudipa Das & Mukunda Choudhury & Gour Chandra Mahata, 2024. "Optimal inventory policies for time varying deteriorating items with dynamic demand under upstream and downstream trade credit by discounted cash-flow analysis," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 1-32, March.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:1:d:10.1007_s12597-023-00681-w
    DOI: 10.1007/s12597-023-00681-w
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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. 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.
    3. 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.
    4. Sumit Saha & Nabendu Sen, 2019. "An inventory model for deteriorating items with time and price dependent demand and shortages under the effect of inflation," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 14(3), pages 377-388.
    5. R. Sundararajan & S. Vaithyasubramanian & A. Nagarajan, 2021. "Impact of delay in payment, shortage and inflation on an EOQ model with bivariate demand," Journal of Management Analytics, Taylor & Francis Journals, vol. 8(2), pages 267-294, April.
    6. Gour Chandra Mahata, 2016. "Optimal ordering policy with trade credit and variable deterioration for fixed lifetime products," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 25(3), pages 307-326.
    7. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    8. Chen, Sheng-Chih & Teng, Jinn-Tsair, 2015. "Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis," European Journal of Operational Research, Elsevier, vol. 243(2), pages 566-575.
    9. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    10. Puspita Mahata & Gour Chandra Mahata & Avik Mukherjee, 2019. "An ordering policy for deteriorating items with price-dependent iso-elastic demand under permissible delay in payments and price inflation," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 25(6), pages 575-601, November.
    11. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    12. Li, Ruihai & Chan, Ya-Lan & Chang, Chun-Tao & Cárdenas-Barrón, Leopoldo Eduardo, 2017. "Pricing and lot-sizing policies for perishable products with advance-cash-credit payments by a discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 193(C), pages 578-589.
    13. Jiang Wu & Jinn-Tsair Teng & Konstantina Skouri, 2018. "Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits," Annals of Operations Research, Springer, vol. 264(1), pages 459-476, May.
    14. Falguni Mahato & Mukunda Choudhury & Gour Chandra Mahata, 2023. "Inventory models for deteriorating items with fixed lifetime, partial backordering and carbon emissions policies," Journal of Management Analytics, Taylor & Francis Journals, vol. 10(1), pages 129-190, January.
    15. Charles W. Haley & Robert C. Higgins, 1973. "Inventory Policy and Trade Credit Financing," Management Science, INFORMS, vol. 20(4-Part-I), pages 464-471, December.
    16. Ehsan Ahmadi & Dale T. Masel & Seth Hostetler & Reza Maihami & Iman Ghalehkhondabi, 2020. "A centralized stochastic inventory control model for perishable products considering age-dependent purchase price and lead time," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 231-269, April.
    17. Puspita Mahata & Gour Chandra Mahata, 2020. "Production and payment policies for an imperfect manufacturing system with discount cash flows analysis in fuzzy random environments," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 26(4), pages 374-408, July.
    18. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    19. Chang, Chun-Tao & Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Lai, Kuei-Kuei & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "Manufacturer's pricing and lot-sizing decisions for perishable goods under various payment terms by a discounted cash flow analysis," International Journal of Production Economics, Elsevier, vol. 218(C), pages 83-95.
    20. Wu, Jiang & Al-khateeb, Faisal B. & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 105-115.
    21. Sheng-Chih Chen & Jie Min & Jinn-Tsair Teng & Fuan Li, 2016. "Inventory and shelf-space optimization for fresh produce with expiration date under freshness-and-stock-dependent demand rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 884-896, June.
    22. Dileep Mehta, 1968. "The Formulation of Credit Policy Models," Management Science, INFORMS, vol. 15(2), pages 30-50, October.
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