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Optimisation analysis of the F -policy retrial machine repair problem with working breakdowns

Author

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  • Tseng-Chang Yen
  • Chia-Huang Wu
  • Kuo-Hsiung Wang
  • Wei-Ping Lai

Abstract

This paper deals with a retrial machine repair problem with working breakdowns that combines F-policy and exponentially start-up time before allowing failed machines to join the system. A server is subject to working breakdowns when at least one failed machine is in the system. Using the matrix-analytic method, we develop the steady-state probabilities of the number of failed machines in an orbit. Closed-form expressions of major system performance characteristics and the total expected cost function are presented. A particle swarm optimisation algorithm is implemented to determine the optimal management F-policy and joint optimal values for fast and slow service rates simultaneously at minimum cost. A sensitivity analysis with numerical illustrations is as well presented.

Suggested Citation

  • Tseng-Chang Yen & Chia-Huang Wu & Kuo-Hsiung Wang & Wei-Ping Lai, 2022. "Optimisation analysis of the F -policy retrial machine repair problem with working breakdowns," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 40(2), pages 200-227.
    • Handle: RePEc:ids:ijisen:v:40:y:2022:i:2:p:200-227
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    Cited by:

    1. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.

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