Production control of a manufacturing system subject to deterioration

In this paper we consider a control problem for a manufacturing system comprising a single machine subject to a deterioration process. The system produces a single part type and the model is fluid. The objective is to minimize a long term average cost index which penalizes both inventory surplus and...

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Bibliographic Details
Published inProceedings of the 44th IEEE Conference on Decision and Control pp. 4670 - 4675
Main Authors Martinelli, F., Piedimonte, F.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Continuous production
Control systems
Costs
Failure analysis
Feedback
Manufacturing systems
Optimal control
Product safety
Production control
Switches
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ISBN9780780395671
0780395670
ISSN0191-2216
DOI10.1109/CDC.2005.1582899

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Summary:In this paper we consider a control problem for a manufacturing system comprising a single machine subject to a deterioration process. The system produces a single part type and the model is fluid. The objective is to minimize a long term average cost index which penalizes both inventory surplus and backlog. The machine deterioration rate depends on the production rate and a maintenance operation is performed when the deterioration reaches a specified alarm level. In this paper it is shown that the optimal control operates the machine alternating the maximum production capacity with idle or conservative periods (policy μ-d-μ) if the machine deterioration rate is a concave function of the production rate while it is a continuous feedback function of the buffer level if the deterioration rate is convex. This confirms the results obtained in the past for Markov failure prone systems.
ISBN:9780780395671
0780395670
ISSN:0191-2216
DOI:10.1109/CDC.2005.1582899