Analysis of joint maintenance and production policies under a subcontracting constraint
Résumé
In this paper, we deal with the problem of joint maintenance and production management under a subcontracting constraint. We will study a system with a machine M which undergoes corrective maintenance actions together with preventive maintenance actions, both of which have random durations. A stock S with a capacity h is developed at a rate agr = Umax - d, where Umax = production rate, d = constant demand, and Umax > d. In addition, machine M is allocated to carry out subcontracting tasks (ST) at a frequency A1, for an effective duration A2, during which time it cannot be used to fulfil our system's demand d. We initially study the system analytically when the machine M is forced to carry out a single subcontracting task during each cycle T. We thereafter present a generalization of the subcontracting constraint which entails assigning the machine M to subcontracting several times during each cycle.