An optimal maintenance planning according to production rate satisfying random demand

In this paper, an aggregate production/maintenance planning is formulated as a constrained stochastic quadratic problem. An optimal production/maintenance plan is established considering the probabilistic constraint of unsatisfying information for inventory and the evolution of the system degradation. The key of the work is to consider the evolution of the system failure rate according to the production cadence in order to establish an optimal maintenance plan. This study is applied to an industrial problem, which consists of a manufacturing system trying to satisfy a given random demand. We established jointly an economical production and maintenance plan which minimizes the average total holding, production and maintenance. An analytical study and a numerical example are presented in order to prove the developed approach.