Analysis of joint maintenance and production policies under a subcontracting constraint

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 α = U max – d, where U max = production rate, d = constant demand, and U max > d. In addition, machine M is allocated to carry out subcontracting tasks (ST) at a frequency A 1, for an effective duration A 2, 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.

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