Abstract
This paper deals with capacity design, production and preventive maintenance planning of a production system made of parallel leased machines. The production system must satisfy a random demand over a finite number of periods. The number of machines to be leased, the quantity to produce by each one and customer demand are variable. A joint optimization approach of a maintenance strategy and an economical production plan is developed by considering the influence of usage rates on the degradation of machines. Firstly, we determine a nearly optimal number of machines to be leased as well as the quantities to produce during each period. Secondly, given the obtained production plan, a periodic preventive maintenance policy with minimal repairs at failure is determined for each machine. Branch and bound and random exploration methods are used to obtain an optimal solution.
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