Title: On the integrated production, inventory and preventive maintenance problem in manufacturing systems with backorder

Authors: Jean-Pierre Kenne, Ali Gharbi, Najib M. Najid

Addresses: Mechanical Engineering Department, Laboratory of Integrated Production Technologies, University of Quebec, Ecole de technologie superieure, 1100, Notre Dame Street West, Montreal (Quebec), H3C 1K3, Canada. ' Automated Production Engineering Department, Production Systems Design and Control Laboratory, University of Quebec, Ecole de technologie superieure, 1100, Notre Dame Street West, Montreal (Quebec), H3C 1K3, Canada. ' University of Nantes, Nantes Atlantique, Institut de Recherche en Communications et Cybernetique de Nantes, UMR CNRS 6597, IUT de Nantes, avenue du Pr. Jean Rouxel, B.P. 539-44475 Carquefou, France

Abstract: The integrated Production, Inventory and Preventive Maintenance Problem (PIPMP) is concerned with coordinating production, inventory and preventive maintenance operations to meet customer demand with the aim of minimising costs. The particular PIPMP considered in this paper involves the dynamics of an unreliable production environment that strongly depends on an age-dependent likelihood of machine breakdowns. We provide optimality conditions for more realistic manufacturing systems and use numerical methods to obtain the optimal preventive maintenance policy and the relevant age-dependent production policy. Compared with available production and preventive maintenance policies, the numerical solution obtained shows that the proposed age-dependent optimal production and maintenance policies significantly reduce the overall incurred cost.

Keywords: preventive maintenance; buffer inventory; backorder; reliability theory; manufacturing systems; unreliable production; machine breakdowns; production policy; inventory policy.

DOI: 10.1504/IJSPM.2009.032593

International Journal of Simulation and Process Modelling, 2009 Vol.5 No.4, pp.300 - 312

Published online: 08 Apr 2010 *

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