Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 4, Pages 423-430
doi:10.1155/S1048953397000452

A hidden Markov model for an inventory system with perishable items

L. Aggoun, L. Benkherouf, and L. Tadj

King Saud University, Dept. of Statistics and Operations Research, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received 1 April 1996; Revised 1 May 1997

Abstract

This paper deals with a parametric multi-period integer-valued inventory model for perishable items. Each item in the stock perishes in a given period of time with some probability. Demands are assumed to be random and the probability that an item perishes is not known with certainty. Expressions for various parameter estimates of the model are established and the problem of finding an optimal replenishment schedule is formulated as an optimal stochastic control problem.