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Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique

Anatoly Lisnianski and Yi Ding

Reliability Engineering and System Safety, 2009, vol. 94, issue 11, 1788-1795

Abstract: This paper discusses a type of redundancy that is typical in a multi-state system. It considers two interconnected multi-state systems where one multi-state system can satisfy its own stochastic demand and also can provide abundant resource (performance) to another system in order to improve the assisted system reliability. Traditional methods are usually not effective enough for reliability analysis for such multi-state systems because of the “dimensional curse†problem. This paper presents a new method for reliability evaluation for the repairable multi-state system considering such kind of redundancy. The proposed method is based on the combination of the universal generating function technique and random processes methods. The numerical example is presented to illustrate the proposed method.

Keywords: Multi-state system; Redundancy; Markov stochastic process; Reliability; Universal generating function (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (48)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:94:y:2009:i:11:p:1788-1795

DOI: 10.1016/j.ress.2009.05.006

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