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.

Highlights

  • 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 and demands

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Summary

A STOCHASTIC INVENTORY MODEL WITH PERISHABLE AND AGING ITEMS

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.

Introduction
Densities Estimation
Recursive Parameter Estimation
Summary
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