Availability of a general k-out-of-n:G system with non-identical components considering shut-off rules using quasi-birthdeath process

Ramin Moghaddass, Ming J. Zuo, Wenbin Wang

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

A general repairable k-out-of-n:G system with non-identical components, which is a common form of redundancy, is considered in this paper. The number of repairmen is assumed to be r (1≤r≤n-k1) while components can have similar or different repair priorities. The objective of this work is to address the problem of efficient evaluation of the systems availability in a way that steady state solutions can be obtained systematically in a reasonable computational time. This problem is modeled as a finite state-dependent non-homogeneous quasi-birthdeath (QBD) process. An algorithm is introduced to systematically generate the system state vectors and transition rate matrix and then an iterative method based on the Block GaussSeidel method is employed to determine the steady state probabilities. These are the novel contributions made in this paper. An analog Monte Carlo simulation is presented to demonstrate the correctness and the efficiency of the proposed method.

Original languageEnglish (US)
Pages (from-to)489-496
Number of pages8
JournalReliability Engineering and System Safety
Volume96
Issue number4
DOIs
StatePublished - Apr 2011
Externally publishedYes

Keywords

  • Availability
  • Block GaussSeidel method
  • Monte Carlo simulation
  • Quasi-birthdeath process
  • k-out-of-n:G system

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Industrial and Manufacturing Engineering

Fingerprint

Dive into the research topics of 'Availability of a general k-out-of-n:G system with non-identical components considering shut-off rules using quasi-birthdeath process'. Together they form a unique fingerprint.

Cite this