Inventory models for perishable items with inventory level dependent demand rate

Yongrui Duan, Guiping Li, James M. Tien, Jiazhen Huo

Research output: Contribution to journalArticle

32 Scopus citations


This paper presents inventory models for perishable items with inventory level dependent demand rate. The models with and without backlogging are studied. In the backlogging model, it is assumed that the backlogging rate is dependent on the waiting time and the amount of products already backlogged simultaneously. Two cases that holding inventory is profitable or not are studied, respectively. The smallest shelf space to ensure shortage not occur when holding inventory is not profitable is obtained. In the model without backlogging, it is assumed that the remaining stock at the end of the inventory cycle is disposed of with salvage value. The necessary and sufficient conditions for the existence and uniqueness of the optimal solution of these models are investigated. At last, some numerical examples are presented to illustrate the effectiveness of the proposed model. The model in this paper is generalization of present ones. In particularly, the model is reduced to Padmanabhan and Vrat's when δ 1=0, and Dye and Ouyang's when δ 2=0. If S=s and δ 2=0, it is Chang, Goyal and Teng's model.

Original languageEnglish (US)
Pages (from-to)5015-5028
Number of pages14
JournalApplied Mathematical Modelling
Issue number10
StatePublished - Oct 1 2012



  • Backlog
  • Inventory dependent demand
  • Inventory model
  • Perishable

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation

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