FRANÇAIS
A showcase of ÉTS researchers’ publications and other contributions
SEARCH

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

Downloads

Downloads per month over past year

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. 1-17.
Compte des citations dans Scopus : 16.

[img]
Preview
PDF
Optimal production control policy in unreliable batch processing manufacturing systems with transportation delay.pdf

Download (633kB) | Preview

Abstract

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.

Item Type: Peer reviewed article published in a journal
Professor:
Professor
Gharbi, Ali
Affiliation: Génie de la production automatisée
Date Deposited: 03 Jul 2013 18:24
Last Modified: 11 Mar 2016 15:04
URI: https://espace2.etsmtl.ca/id/eprint/4826

Actions (login required)

View Item View Item