Assessment of reversible multi-state k-out-of-n:G/F/Load-Sharing systems with flow-graph models

• Published in: Reliability engineering & system safety Vol. 91; no. 7; pp. 765 - 771
• Main Authors: Jenab, K., Dhillon, B.S.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.07.2006; Elsevier
• Subjects: Applied sciences; Exact sciences and technology; Flow-graph; Multi-state k-out-of-n:G system; Operational research and scientific management; Operational research. Management science; Reliability theory. Replacement problems; Semi-markov model; Flow-graph; Multi-state k-out-of-n:G system; Semi-markov model; Markov process; Load distribution; Probabilistic approach; Markov model; Flow graphs; Recovery; Graph flow; Data flow; K out of n system; Flow models; Surveillance; Standard deviation; Fluence graph; Monitoring
• ISSN: 0951-8320; 1879-0836
• DOI: 10.1016/j.ress.2005.07.003

This paper presents a flow-graph-based approach to analyze a Multi-State k-out-of-n:G/F/Load-Sharing systems. The Multi-State k-out-of-n:G/F/Load-Sharing systems comprises ‘ n’ identical units, which are under state monitoring and recovery function. The units have ‘ r’ states that their state transit models (i.e. Semi-Markov) are presented with flow-graph model. This newly developed analytical approach provides Multi-state Time-To-State information, such as the probability, and mean and standard deviation time for the unit/system being in certain state. A solved example is presented to demonstrate the application of the approach for Multi-State k-out-of-n:G/F/Load-Sharing systems.