Manufacturing system, random demand, availability of machine, degradation of machine, simultaneous optimization

International audienceA jointly optimization is made in order to establish an optimal production plan and scheduling maintenance strategy showing the machine degradation and availability. The manufacturing system under consideration consists of a machine M which produces a single product in order to satisfy a random demand during the finite horizon of production. The key of this study is to consider the influence of the production rate on the degradation degree and the availability of the machine. We prove simultaneously, with a constrained stochastic production-maintenance plan problem under hypotheses of inventory, availability and failure rate variables, an economically production plan and maintenance scheduling which minimizes the total inventory, production and maintenance costs. A numerical example is studied in order to apply the developed approach