Title: Optimal (s, S) production policies with delivery time guarantees and breakdowns

Authors: Olfa Jellouli, Eric Chatelet, Patrick Lallement

Addresses: Higher School of Technology and Data Processing, Tunis, Tunisia. ' Information Sciences and Technologies Institute of Troyes, University of Technology of Troyes, 12 Rue Marie Curie, BP 2060, Troyes cedex 10010, France. ' Information Sciences and Technologies Institute of Troyes, University of Technology of Troyes, 12 Rue Marie Curie, BP 2060, Troyes cedex 10010, France

Abstract: This paper studies optimal (s, S) policies for production planning in stochastic manufacturing systems with failures. For our models, we consider a one-machine system which produces one type of product. We consider two cases. The first one considers failure in the production process and the second one considers a failure in the distribution process. Parameters characterising the system are stochastic and they are assumed to be exponentially distributed. The analytical form of the steady state probability distribution for the inventory levels is obtained using Markov processes. The average profit of the system can be written in terms of the resulting probability distribution. We include numerical examples to illustrate the determination of optimal strategies. Hence, the optimal (s, S) policies are obtained using two methods depending on the failure type. [Received 12 February 2007; Accepted 26 April 2007]

Keywords: production planning; failures; breakdowns; Markov processes; optimal strategies; optimal (s, S) production policies; stochastic manufacturing systems; delivery time guarantees; system safety; production systems; distribution systems; delivery times.

DOI: 10.1504/EJIE.2007.014687

European Journal of Industrial Engineering, 2007 Vol.1 No.3, pp.266 - 279

Published online: 25 Jul 2007 *

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