Optimal integrated maintenance/production policy for randomly failing systems with variable failure rate

Hajej Zied (1) , Sofiene Dellagi (1) , Nidhal Rezg (1)

1 LGIPM - Laboratoire de Génie Industriel, de Production et de Maintenance

This paper deals with combined production and maintenance plans for a manufacturing system satisfying a random demand. We first establish an optimal production plan which minimizes the average total inventory and production cost. Secondly, using this optimal production plan, and taking into account the deterioration of the machine according to its production rate, we derive an optimal maintenance schedule which minimizes the maintenance cost. A numerical example illustrates the proposed approach, this analytical approach , based on a stochastic optimization model and using the operational age concept, reveals the significant influence of the production rate on the deterioration of the manufacturing system and consequently on the integrated production/maintenance policy.

Mots clés: Physical Sciences

Hajej Zied, Sofiene Dellagi, Nidhal Rezg. Optimal integrated maintenance/production policy for randomly failing systems with variable failure rate. International Journal of Production Research, 2011, pp.1. ⟨10.1080/00207543.2010.528063⟩. ⟨hal-00660538⟩