Journal of Applied Mathematics and Decision Sciences
Volume 7 (2003), Issue 4, Pages 249-263

Recursive estimation of inventory quality classes using sampling

L. Aggoun, L. Benkherouf, and A. Benmerzouga

Department of Mathematics and Statistics, Sultan Qaboos University, Oman

Copyright © 2003 L. 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.


In this paper we propose a new discrete time discrete state inventory model for perishable items of a single product. Items in stock are assumed to belong to one of a finite number of quality classes that are ordered in such a way that Class 1 contains the best quality and the last class contains the pre-perishable quality. By the end of each epoch, items in each inventory class either stay in the same class or lose quality and move to a lower class. The movement between classes is not observed. Samples are drawn from the inventory and based on the observations of these samples, optimal estimates for the number of items in each quality classes are derived.