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Solution of Reliability of Multi-State k/n System with Arbitrary Distribution

  • Beihang University
  • China University of Mining & Technology, Beijing

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

Abstract

The voting system is one of the important ways to improve system reliability by establishing redundancy. In order to break through the limitation of the assumption that components are independently and identically distributed or that components are exponentially distributed in the existing voting system, state-space method and recursive method were used to study n arbitrarily distributed components without considering maintenance. The reliability and MTTF of the 2-state A-out-of-n system were derived from the analysis of k ≥ (1+n)/2 and k<(1+n)/2. When considering multi-state, the relationship between the reliability of the system and the state of each component was analyzed, and the corresponding analytical formula was obtained. The Monte-Carlo method was used to sample and simulate each example, and the simulation results are compared with the analytic results. The error is less than 3%, which proves the correctness of the relevant analytical formulas. This paper provides some theoretical support for the application and reliability design of k-out-of-n system in engineering.

Original languageEnglish
Title of host publication2019 Prognostics and System Health Management Conference, PHAI-Qingdao 2019
EditorsWei Guo, Steven Li, Qiang Miao
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728108612
DOIs
StatePublished - Oct 2019
Event10th Prognostics and System Health Management Conference, PHM-Qingdao 2019 - Qingdao, China
Duration: 25 Oct 201927 Oct 2019

Publication series

Name2019 Prognostics and System Health Management Conference, PHM-Qingdao 2019

Conference

Conference10th Prognostics and System Health Management Conference, PHM-Qingdao 2019
Country/TerritoryChina
CityQingdao
Period25/10/1927/10/19

Keywords

  • arbitrary distribution
  • multi-state
  • reliability
  • state-space method
  • voting system

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