Optimal control of a resource-sharing multiprocessor with periodic maintenance

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Shared resources and the processes that control them play a critical role in the functioning of concurrent systems. This note analyzes the production control of a workstation producing a number of products concurrently. The workstation is periodically stopped for maintenance. The objective of the production control is to minimize inventory and backlog costs over an infinite time horizon. Using the maximum principle and under the so-called agreeable cost structure, we derive the optimal production control. We prove that under this cost structure, the problem can be solved in polynomial time.

Original languageEnglish
Pages (from-to)1342-1346
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number8
StatePublished - Aug 2002


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