On Birnbaum importance assessment for aging multi-state system under minimal repair by using the Lz-transform method

Anatoly Lisnianski, Ilia Frenkel and Lev Khvatskin

Reliability Engineering and System Safety, 2015, vol. 142, issue C, 258-266

Abstract: This paper considers a reliability importance evaluation for components in an aging multi-state system. In practical reliability engineering a “curse of dimensionality†(the large number of states that should be analyzed for a multi-state system model) is a main obstacle for importance assessment. In order to challenge the problem, this paper proposes a new method that is based on an LZ-transform of the discrete-state continuous-time Markov process and on Ushakov׳s Universal Generating Operator. The paper shows that the proposed method can drastically reduce a computational burden. In order to illustrate the method, a solution of a real world problem is presented as a numerical example.

Keywords: Birnbaum reliability importance; Markov process; Ushakov׳s Universal Generating Operator; LZ-transform; aging multi-state system (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:142:y:2015:i:c:p:258-266

DOI: 10.1016/j.ress.2015.05.006

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