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Stability of real-time lot scheduling policies for an unreliable machine

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3 Author(s)
Lou, S. ; Fac. of Manage., Toronto Univ., Ont., Canada ; Sethi, S. ; Sorger, G.

A single-machine multiproduct manufacturing system with random breakdowns and random repair times is considered. Under a weak capacity condition on the system it is shown that the total work-in-progress (WIP) is a recurrent stochastic process. By replacing the stochastic model by a deterministic one with preventive maintenance activities scheduled on a regular basis or by strengthening the capacity condition, the boundaries of WIP and expected WIP, respectively, over time can be shown

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 12 )