A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time

Chaaben Kouki, Zied Jemaï, Stefan Minner

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


We consider a perishable inventory system that operates under stochastic demand, constant lifetime and a constant lead time. The system employs a continuous review (r,Q) inventory control policy where unfilled demands are lost. We investigate the properties of the cost function and present an approximation procedure to find the parameters r and Q that minimize the total cost. We then conduct a numerical analysis to examine the performance of the proposed model and study the sensitivity to changes in the system parameters. We demonstrate the suitability of the proposed approximations compared to optimal (r,Q) parameters obtained by simulation and show that our proposal outperforms another approximation procedure from the literature, in particular for increasing ordering cost and demand variability. The proposed model contributes to the literature by providing a simple and efficient algorithm to compute the best (r, Q) parameters that minimize the total cost. Besides, it can be used in automated store ordering systems.

Original languageEnglish
Pages (from-to)143-157
Number of pages15
JournalInternational Journal of Production Economics
StatePublished - 1 Oct 2015


  • Continuous review
  • Deterministic lifetime
  • Inventory control
  • Perishable products


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