Robust Inventory-Production Control Problem With Stochastic Demand

Abstract

This paper deals with the inventory-production control problem where the produced items are supposed to be deteriorating with a rate that depends on the stochastic demand rate. The inventory-production control problem is formulated as a jump linear quadratic control problem. The optimal policy that solves the optimal control problem is obtained in terms of a set of coupled Riccati equations. The guaranteed cost control problem is also investigated. Copyright (C) 1999 John Wiley Sons, Ltd