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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Pages (from-to)200-227
Number of pages28
JournalInternational Journal of Industrial and Systems Engineering
Volume40
Issue number2
DOIs
StatePublished - 18 Feb 2022

Keywords

  • F-policy
  • Matrix-analytic method
  • Optimisation analysis
  • Retrial
  • Sensitivity analysis
  • Working breakdowns

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