An Optimal Maintenance/Production Planning for a Manufacturing System Under Random Failure Rate and a Subcontracting Constraint

This paper deals with a problem of production and maintenance of manufacturing system under subcontracting constraint. We have developed an integrated production/maintenance policy for a manufacturing system subjected to a random failure and calling up on subcontractor machine. The problem consists on a machine, unable to satisfy a random demand. That’s why it called upon another machine. In order to assure simultaneously an economical production planning and optimal maintenance strategy, a conjoint optimization is made which minimize the total production, holding and maintenance cost. An analytical study and a numerical example are presented in order to prove the developed approach.