Joint optimization of capacity, production and maintenance planning of leased machines

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.