Abstract

AbstractIn this paper, we deal with the problem of a joint maintenance and production policy under a subcontracting constraint. In fact, this paper is the continuity of our previous work. The manufacturing system under consideration consists of a machine M that produces a single product. To satisfy a random demand d under a given service level constraint, the system called upon another machine M2 (the subcontractor) which recycles and remanufactures the products rejected by the customer. We first establish an optimal production plan which minimizes the total inventory and production cost taking into consideration the subcontractor constraint. Secondly, using this optimal production plan and based on the operational age concept, we derive an optimal maintenance schedule which minimizes the total maintenance cost. Finally, a numerical example is studied in order to apply the developed approach.

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