This study deals with an industrial problem of a manufacturing system satisfying a random demand, during a finite horizon, under service level and random repair time of machine. In most repair models for manufacturing system, the repair time of machine is assumed to be negligible, and so the length of repair time has not been an influence in developing the production and maintenance models. However, in industrial problem, it is more realistic to take into account the influence of a certain amount of repair time. The key of this study is to consider the influence of production rate on the failure rate of machine, consequently on the average number of failure as well as the influence of repair time on the production plan and customer satisfaction. We  prove with a constrained stochastic production problem under hypotheses of service level , an optimal production and maintenance plans, which minimizes the total production, inventory and maintenance cost.

Keywords

Production plan, Maintenance plan, random demand, service level, random repair time, preventive maintenance, optimization.