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Inflation and the optimal inventory replenishment schedule within a finite planning horizon

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  • Gilding, Brian H.

Abstract

The subject of this paper is the problem of finding the optimal replenishment schedule for an inventory, subject to time-dependent demand and deterioration, within a finite time planning horizon. It is shown that taking inflation into account has a profound effect on the solution of the problem. For instance, there is a critical number of replenishment periods, in excess of which the optimal schedule is characterized by the inclusion of token orders at the end of the planning horizon. This and other conclusions, obtained via a careful mathematical analysis of the problem, rectify those of earlier studies.

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  • Gilding, Brian H., 2014. "Inflation and the optimal inventory replenishment schedule within a finite planning horizon," European Journal of Operational Research, Elsevier, vol. 234(3), pages 683-693.
    • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:683-693
    DOI: 10.1016/j.ejor.2013.11.001
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    References listed on IDEAS

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    2. Yue Xie & Allen H. Tai & Wai-Ki Ching & Yong-Hong Kuo & Na Song, 2021. "Joint inspection and inventory control for deteriorating items with time-dependent demand and deteriorating rate," Annals of Operations Research, Springer, vol. 300(1), pages 225-265, May.
    3. Khakbaz, Amir & Mensi, Walid & Tirkolaee, Erfan Babaee & Hammoudeh, Shawkat & Simic, Vladimir, 2023. "The combined effects of interest and inflation rates on inventory systems: A comparative analysis across countries," International Journal of Production Economics, Elsevier, vol. 266(C).
    4. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    5. 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.
    6. Zhou Yongwu & Lin Zhaozhan, 2016. "Impacts of Hyperbolic Discounting on Inventory Replenishment Policy Under Inflation," Journal of Systems Science and Information, De Gruyter, vol. 4(1), pages 24-39, February.
    7. Abedinnia, Hamid & Moghaddamkia, Hoda & Glock, C. H., 2016. "A joint economic lot size model under continuously increasing purchase prices of raw materials," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 82129, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Tai, Allen H. & Xie, Yue & He, Wanhua & Ching, Wai-Ki, 2019. "Joint inspection and inventory control for deteriorating items with random maximum lifetime," International Journal of Production Economics, Elsevier, vol. 207(C), pages 144-162.
    9. Zhang, Jianxiong & Wang, Yu & Lu, Lihao & Tang, Wansheng, 2015. "Optimal dynamic pricing and replenishment cycle for non-instantaneous deterioration items with inventory-level-dependent demand," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 136-145.

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