Average cost optimality for an unreliable two-machine flowshop with limited internal buffer

Average cost optimality for an unreliable two-machine flowshop with limited internal buffer

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Article ID: iaor2002202
Country: Netherlands
Volume: 98
Issue: 1
Start Page Number: 333
End Page Number: 351
Publication Date: Dec 2000
Journal: Annals of Operations Research
Authors: , , ,
Keywords: programming: dynamic, control processes
Abstract:

We consider a production planning problem in a two-machine flowshop subject to breakdown and repair of machines and subject to nonnegativity and upper bound constraints on work-in-process. The objective is to choose machine production rates over time to minimize the long-run average inventory/backlog and production costs. For sufficiently large upper bound on the work-in-process, the problem is formulated as a stochastic dynamic program. We then establish a verification theorem and a partial characterization of the optimal control policy if it exists.

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