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Operations Research Letters
Volume 24, Issues 1-2, February 1999, Pages 65-72
 
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doi:10.1016/S0167-6377(98)00042-X    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1999 Elsevier Science B.V. All rights reserved.

Deterministic lot-size inventory models with shortages and deterioration for fluctuating demand

Jinn-Tsair TengCorresponding Author Contact Information, E-mail The Corresponding Author, a, Maw-Sheng Chernb, Hui-Ling Yangc and Yuchung J. Wangd

a Department of Marketing and Management Sciences, The William Paterson University of New Jersey, Wayne, NJ 07470, USA b Department of Industrial Engineering, National Tsing Hua University, Hsinchu 30043, Taiwan, ROC c Center of General Education, Hung Kuang Institute of Technology, Taichung 433, Taiwan, ROC d Department of Mathematical Sciences, Rutgers University, Camden, NJ 08102, USA

Received 1 July 1997;
revised 1 July 1998.
Available online 12 July 2001.

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Abstract

We establish various inventory replenishment policies. We then analytically identify the best alternative among them based on the minimum total relevant costs. Finally, we prove that the relevant cost is convex with the number of replenishments. Consequently, the search for the optimal replenishment number is reduced to finding a local minimum.

Author Keywords: Inventory; Lot sizing; Modelling; Optimization; Shortages; Deterioration

Article Outline

1. Introduction
2. Assumptions and notation
3. Mathematical models and solutions
4. Theoretical results
Acknowledgements
References





 
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