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An EOQ model for perishable goods with age-dependent demand rate

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  • Dobson, Gregory
  • Pinker, Edieal J.
  • Yildiz, Ozlem

Abstract

We study the inventory management decisions of a retailer selling a single perishable good in a deterministic setting. We take into account consumers’ assessment of quality over the lifetime of the products, and assume that the demand rate is a linearly decreasing function of the age of the products. We analytically obtain the optimal cycle length of the retailer. Using our model, we obtain traditional non-perishable Economic Order Quantity (EOQ)-like lower and upper bounds on the cycle length and the profit, and show that they lead to near-optimal results for our typical examples, which are grocery items. We show that a perishable good acts similarly to a non-perishable good with unit holding cost equal to the ratio of contribution margin to lifetime. We also approximate the contribution margin the perishable good needs to have to maintain profitability parity with non-perishable goods.

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  • Dobson, Gregory & Pinker, Edieal J. & Yildiz, Ozlem, 2017. "An EOQ model for perishable goods with age-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 257(1), pages 84-88.
    • Handle: RePEc:eee:ejores:v:257:y:2017:i:1:p:84-88
    DOI: 10.1016/j.ejor.2016.06.073
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    Cited by:

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    3. Mukunda Choudhury & Sujit Kumar De & Gour Chandra Mahata, 2023. "A pollution-sensitive multistage production-inventory model for deteriorating items considering expiration date under Stackelberg game approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(10), pages 11847-11884, October.
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    6. Ben Jouida, Sihem & Guajardo, Mario & Klibi, Walid & Krichen, Saoussen, 2021. "Profit maximizing coalitions with shared capacities in distribution networks," European Journal of Operational Research, Elsevier, vol. 288(2), pages 480-495.
    7. R. Sundararajan & M. Palanivel & S. Vaithyasubramanian, 2023. "On the EOQ Models with Advertisement-Price-Dependent Demand and Quantity Discount with Expiration Date Under Shortage," SN Operations Research Forum, Springer, vol. 4(4), pages 1-31, December.
    8. Wu, Jiang & Chang, Chun-Tao & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2017. "Optimal order quantity and selling price over a product life cycle with deterioration rate linked to expiration date," International Journal of Production Economics, Elsevier, vol. 193(C), pages 343-351.
    9. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal Pricing and Inventory Decisions for Perishable Products with Multivariate Demand Function Under Trade Credit," SN Operations Research Forum, Springer, vol. 4(2), pages 1-26, June.
    10. 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.
    11. Chaman Singh & Gurudatt Rao Ambedkar, 2023. "Optimizing EOQ model for expiring items with stock, selling cost and lifetime dependent demand under inflation," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 174-187, March.
    12. Su, Rung-Hung & Weng, Ming-Wei & Yang, Chih-Te, 2021. "Effects of corporate social responsibility activities in a two-stage assembly production system with multiple components and imperfect processes," European Journal of Operational Research, Elsevier, vol. 293(2), pages 469-480.
    13. Chernonog, Tatyana, 2020. "Inventory and marketing policy in a supply chain of a perishable product," International Journal of Production Economics, Elsevier, vol. 219(C), pages 259-274.
    14. Yang, Ya & Chi, Huihui & Tang, Ou & Zhou, Wei & Fan, Tijun, 2019. "Cross perishable effect on optimal inventory preservation control," European Journal of Operational Research, Elsevier, vol. 276(3), pages 998-1012.
    15. Sebatjane, Makoena & Adetunji, Olufemi, 2020. "A three-echelon supply chain for economic growing quantity model with price- and freshness-dependent demand: Pricing, ordering and shipment decisions," Operations Research Perspectives, Elsevier, vol. 7(C).
    16. 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.
    17. Dye, Chung-Yuan, 2020. "Optimal joint dynamic pricing, advertising and inventory control model for perishable items with psychic stock effect," European Journal of Operational Research, Elsevier, vol. 283(2), pages 576-587.
    18. Amulya Gurtu, 2021. "Optimization of Inventory Holding Cost Due to Price, Weight, and Volume of Items," JRFM, MDPI, vol. 14(2), pages 1-11, February.
    19. 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.
    20. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    21. Yiju Wang & Donglei Du & Jingfu Huang, 2021. "Optimal Replenishment Strategy for Inventory Mechanism with Step-Shaped Demand," Journal of Optimization Theory and Applications, Springer, vol. 190(3), pages 841-860, September.
    22. Bo Yan & Jing Fan & Congyan Cai & Jing Fang, 2020. "Supply chain coordination of fresh Agri-products based on value loss," Operations Management Research, Springer, vol. 13(3), pages 185-196, December.
    23. Ranveer Singh Rana & Dinesh Kumar & Kanika Prasad, 2022. "Two warehouse dispatching policies for perishable items with freshness efforts, inflationary conditions and partial backlogging," Operations Management Research, Springer, vol. 15(1), pages 28-45, June.
    24. 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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