On sensitivity analysis of aging multi-state system by using LZ-transform. (October 2017)

• Record Type: Journal Article
• Authors: Lisnianski, Anatoly; Frenkel, Ilia; Khvatskin, Lev
• Is Part Of: Reliability engineering & system safety. Volume 166(2017)
• Page Start: 99
• Page End: 108
• Publication Date: 2017-10
• Subjects: MSS multi-state system -- OAT one factor at time -- UGF universal generating function -- DSCT discrete- state continuous-time -- PMS phased-mission system -- UGO universal generating operator; Multi-state system -- Sensitivity measures -- Availability -- Universal generating function -- LZ-transform; 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.2016.12.001
• Languages: English
• ISSNs: 0951-8320

Abstract

Abstract: The paper considers a sensitivity evaluation for an aging multi-state system (MSS) under minimal repair. Investigation of an impact of changing different failure/repair rates of different elements in MSS is important for practical reliability engineering. 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 sensitivity assessment. Straightforward Markov Method applied to solve this problem requires building a model with numerous numbers of states and solving a corresponding system of differential equations. In order to solve this problem, the paper proposes to use a new method based on an L Z -transform of the discrete-state continuous-time Markov process, and on Ushakov's Universal Generating Operator. New sensitivity measures useful for aging MSS reliability analysis were introduced. It was shown that the proposed method drastically reduces a computational burden. A numerical example is presented in order to illustrate the approach. Highlights: Aging Multi-state System under minimal repair is studied. A new sensitivity measures are suggested for aging multi-state system. A method for sensitivity measures computation is developed. The method is based on the LZ-transform. Numerical example is presented in order to illustrate the method.