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

  • Authors:
  • Jinn-Tsair Teng;Maw-Sheng Chern;Hui-Ling Yang;Yuchung J. Wang

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

  • Venue:
  • Operations Research Letters
  • Year:
  • 1999

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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.