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A stochastic inventory system with replacement of perishable items

  • N. Saranya
  • A. Shophia LawrenceEmail author
Application Article


This article presents a continuous review perishable inventory system in which the perished items will be replaced by the supplier at a later time. Demands occur according to a Markov arrival process. The items in the inventory have exponential life times and these perished items are stored in a place, called pool for replacement. The (sS) ordering policy is adopted. At the time of placing an order, the ordering quantity is adjusted with number of items in the pool. The lead time is assumed to have phase type distribution. The joint probability distribution of the inventory level and the number of pooled items is obtained in the steady state case using the matrix-geometric methods. Various system performance measures in the steady state are derived and the total expected cost rate is calculated under a prefixed cost structure. The results derived in this work are numerically illustrated.


Perishable inventory Replaceable items Markovian arrival process (s, S) ordering policy Phase type distribution 



The authors sincerely thank the editor and the anonymous reviewers for their useful comments and suggestions.


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© Operational Research Society of India 2019

Authors and Affiliations

  1. 1.Department of MathematicsMadurai Kamaraj UniversityMaduraiIndia

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