Control of manufacturing systems with a two-value, production-dependent failure rate

In this paper we consider a failure prone, single machine, single part-type, limited inventory, manufacturing system subject to a non-homogeneous Markov failure/repair process with the failure rate depending on the production rate through a two-value function. The problem is to minimize a cost function which includes a penalty for waiting customers. We derive and prove the optimality of a policy which depends on a threshold but is not the so called hedging point policy, optimal for the Markov homogeneous case. Key words: Hedging point, manufacturing systems, production dependent failures, non-homogeneous Markov processes

• Type: Journal
• Year: 2005
• Where: AUTOMATICA
• Authors: Francesco Martinelli
• Keywords: AUTOMATICA 2005, Failure Prone, Markov Homogeneous Case, Non-homogeneous Markov