Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 1, Pages 23-29
doi:10.1155/S1048953399000039
A stochastic inventory model with perishable and aging items
1Sultan Qaboos University, Department of Mathematics and Statistics, College of Science, P. O. Box 36 Alkhod, Muscat 123, Oman
2King Sand University, Department of Statistics and Operations Research, College of Science, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Received 1 May 1997; Revised 1 May 1998
Copyright © 1999 Lakhdar Aggoun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we propose a single-product, discrete time inventory model
for perishable items. Inventory levels are reviewed periodically and units
in stock have a maximum lifetime of M periods. It is assumed that the
dynamics of the inventory level is driven by a parameter process (reflecting perishability) and demands. By observing the history of the inventory
level we obtain the conditional distribution of the perishability parameter
by using the change of measure techniques. A special case is also presented.