A numerical method in optimal production and setup scheduling of stochastic manufacturing systems

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Original languageEnglish
Pages (from-to)1452-1455
Journal / PublicationIEEE Transactions on Automatic Control
Issue number10
Publication statusPublished - 1997
Externally publishedYes


In this paper, we consider optimal production and setup scheduling in a failure-prone manufacturing system consisting of a single machine. The system can produce several types of products, but at any given time it can only produce one type of product. A setup is required if production is to be switched from one type of product to another. The decision variables are a sequence of setups and a production plan. The objective of the problem is to minimize the costs of setup, production, and surplus. An approximate optimality condition is given together with a computational algorithm for solving the optimal control problem.

Research Area(s)

  • HJB equation, Machine setup, Numerical method, Production planning, Scheduling