Abstract

We studied the inventory-production system with two-parameter Weibull distributed deterioration items. The solution of optimal inventory production control problem with Weibull distribution deteriorating item was revisited based on Baten and Kamil (2009) and carried out using Pontryagin maximum principle. It was also illustrated with an example. The overall inventory and production control were tested for different demand patterns. The inventory production controlled systems of non-linear differential equations were solved numerically.

Key words: Inventory-production system, Weibull distributed deterioration, optimal control, Pontryagin maximum principle, performance measure.