Optimal production control: Analytical solution for the limit cycles

Konstantin Kogan, Sheldon X.c. Lou

Research output: Contribution to journalArticlepeer-review


The paper analyzes a manufacturing system with tandem machines producing one part type. The system is periodically stopped for maintenance. The objective is to determine machine production rates so that the inventory and backlog-related expenses could be minimized. We show only a few so-called restricting machines need to be considered. A numerical example is used to demonstrate the solution approach proposed in the paper.

Original languageEnglish
Pages (from-to)363-374
Number of pages12
JournalIIE Transactions (Institute of Industrial Engineers)
Issue number4
StatePublished - 2002


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