Time-dependent reliability for a stochastic flow network in terms of minimal cuts

Cheng Yi-Chen, Chang Ping-Chen, Huang Ding-Hsiang, Lin Yi-Kuei

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This study applied the approach of minimal cuts for demand to estimate the time-related reliability of a multi-state flow network (MSFN). The maximal capacity vectors that did not meet the demand rate were generated by a proposed algorithm. The Weibull reliability function was adopted to derive the probability distribution for arc capacity in the MSFN. According to the generated d-MCs and derived probability distributions, the MSFN system unreliability was calculated by the recursive sum of the disjoint products. Furthermore, the system reliability was 1-system unreliability, which is a performance index of an MSFN. Based on the system unreliability, a maintenance model with three strategies was proposed to retain the service level of the MSFN. Experimental results show the performance of the proposed maintenance strategies. The advantages of different maintenance strategies are further discussed for managers to determine an appropriate alternative to maintain MSFN capability.

Original languageEnglish
Title of host publicationProceedings - 26th ISSAT International Conference on Reliability and Quality in Design, RQD 2021
EditorsHoang Pham
PublisherInternational Society of Science and Applied Technologies
Pages200-204
Number of pages5
ISBN (Electronic)9780991057696
StatePublished - 2021
Event26th ISSAT International Conference on Reliability and Quality in Design, RQD 2021 - Virtual, Online
Duration: 5 Aug 20217 Aug 2021

Publication series

NameProceedings - 26th ISSAT International Conference on Reliability and Quality in Design, RQD 2021

Conference

Conference26th ISSAT International Conference on Reliability and Quality in Design, RQD 2021
CityVirtual, Online
Period5/08/217/08/21

Keywords

  • Minimal cut
  • Multi-state flow network (msfn)
  • System reliability
  • System unreliability
  • Time-related

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