Reliability-based measure of a retrial machine repair problem with working breakdowns under the F-policy

Tseng Chang Yen, Kuo Hsiung Wang*, Chia Huang Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study reliability and sensitivity analysis of a retrial machine repair problem with working breakdowns operating under the F-policy. The F-policy studies the most common issue of controlling arrival to a queueing problem and it requires startup time before allowing failed machines to enter the orbit. The server is subject to working breakdowns only when there is at least one failed machine in the system. When the server is busy it works at a fast rate, but when it is subject to working breakdowns, it works at a slow rate. Failure and repair times of the server are exponentially distributed. The Laplace transform technique is utilized to develop two system performance measures such as system reliability and mean time to system failure (MTTF). Extensive numerical results are carried out to reveal how performance measures are affected by changing various values of each system parameter.

Original languageEnglish
Article number106885
JournalComputers and Industrial Engineering
Volume150
DOIs
StatePublished - Dec 2020

Keywords

  • F-policy
  • Mean time to system failure
  • Retrial machine repair problem
  • Sensitivity analysis
  • System reliability
  • Working breakdowns

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