This paper deals with the inventory-production control problem where the pr
oduced items are supposed to be deteriorating with a rate that depends on t
he stochastic demand rate. The inventory-production control problem is form
ulated 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 investigate
d. Copyright (C) 1999 John Wiley & Sons, Ltd.