Optimal production control policy in unreliable batch processing manufacturing systems with transportation delay

Bouslah, B., Gharbi, Ali, Pellerin, R. et Hajji, Adnéne. 2013. « Optimal production control policy in unreliable batch processing manufacturing systems with transportation delay ». International Journal of Production Research, vol. 51, nº 1. pp. 264-280.
Compte des citations dans Scopus : 23.

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Résumé

This paper considers the problem of production planning of unreliable batch processing manufacturing systems. The finished goods are produced in lots, and are then transported to a storage area in order to continuously meet a constant demand rate. The main objective of this work is to jointly determine the optimal lot sizing and optimal production control policy that minimize the total expected cost of inventory/backlog and transportation, over an infinite time horizon. The decision variables are the lot sizing and the production rate. The problem is formulated with a stochastic dynamic programming model and the impulse control theory is applied to establish the Hamilton-Jacobi-Bellman (HJB) equations. Based on a numerical resolution of the HJB equations, it is shown that the optimal control policy is governed by a base stock policy for production rate control and economic lot size for batch processing. A thorough analysis and practical issues are addressed with a simulation based approach. Thus, a combined discrete-continuous simulation model is developed to determine the optimal parameters of the proposed policy when the failure and repair times follow general distributions. The results are illustrated with numerical examples and confirmed through sensitivity analysis.

Type de document:	Article publié dans une revue, révisé par les pairs
Professeur:	Professeur Gharbi, Ali
Affiliation:	Génie de la production automatisée
Date de dépôt:	03 juill. 2013 18:24
Dernière modification:	20 juill. 2023 19:57
URI:	https://espace2.etsmtl.ca/id/eprint/4826

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