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Modular modelling and performance evaluation of manufacturing systems using Max-Plus Algebra

Author

Listed:
  • Y.P. Reddy
  • G. Ranga Janardhana
  • Kim S. Kun

Abstract

In this paper, an algorithm, known as the Max Plus Algebra (MPA)-algorithm is presented for analytical model building and performance evaluation of manufacturing systems. The manufacturing system is divided into three types of logical modules, namely, a serial production system, an Assembly System (AS) and a Disassembly System (DS). The three logical modules are modelled using place-Timed Event Graph (p-TEG). Max-plus equations are derived from the p-TEG model using the MPA-algorithm. An illustrative cyclic manufacturing system consisting of all three logical modules is taken to explain the modelling methodology. The flow time of the system is evaluated using Karp's theorem.

Suggested Citation

  • Y.P. Reddy & G. Ranga Janardhana & Kim S. Kun, 2009. "Modular modelling and performance evaluation of manufacturing systems using Max-Plus Algebra," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 4(5), pages 577-596.
    • Handle: RePEc:ids:ijisen:v:4:y:2009:i:5:p:577-596
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