This paper deals the degradation of the machine according to the production rate. An optimal maintenance strategy is developed in combination with the production plan for a manufacturing system satisfying a random demand. Firstly, for a given randomly demand, we established ,with a constrained stochastic production-planning problem under hypotheses of inventory variables, an optimal production plan which minimizes the average total holding and production costs. Secondly, using the optimal production plan obtained and its influence on the manufacturing system failure rate, by analytical study we established an optimal maintenance scheduling which minimizes the maintenance total expected cost. Finally, a numerical example is studied in order to apply the developed approach.