A continuous-time integrated model for discrete control of production flows in a multi-level bills of material environment

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Abstract

An integrated dynamic model for discrete production scheduling and continuous capacity expansion is presented in this paper. The modeled manufacturing system, based on multi-level bills of materials, is characterized by flexible machines with negligible setups and production rates fixed for the current capacity. Make-to-stock formulation of the problem is studied and optimal behavior of the system is determined with the help of the maximum principle. A fast time-decomposition algorithm is suggested to locate the optimal solution.

Original languageEnglish
Pages (from-to)263-273
Number of pages11
JournalInternational Transactions in Operational Research
Volume6
Issue number3
DOIs
StatePublished - May 1999
Externally publishedYes

Keywords

  • Continuous-time production scheduling and planning
  • Optimal control

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