On Birnbaum importance assessment for aging multi-state system under minimal repair by using the Lz-transform method. (October 2015)

• Record Type: Journal Article
• Authors: Lisnianski, Anatoly; Frenkel, Ilia; Khvatskin, Lev
• Is Part Of: Reliability engineering & system safety. Volume 142(2015:Oct.)
• Page Start: 258
• Page End: 266
• Publication Date: 2015-10
• Subjects: Birnbaum reliability importance -- Markov process -- Ushakov׳s Universal Generating Operator -- LZ-transform -- aging multi-state system; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2015.05.006
• Languages: English
• ISSNs: 0951-8320

Abstract

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 L Z -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. Highlights: Aging multi-state system under minimal repair is studied. A new method for Birnbaum importance assessment is developed. The method is based on the L Z -transform. The proposed method provides a drastic reduction of computation burden. Numerical example is presented in order to illustrate the method.