Figure Legend: Principal scheme of the water cooling system.


Figure Legend: State-transition diagram of the water cooling system.
Journal Reference
Reliability Engineering & System Safety, Volume 142, October 2015, Pages 258-266.
Anatoly Lisnianski1 , Ilia Frenkel2, Lev Khvatskin2
[expand title=”Show Affiliations”]- The Israel Electric Corporation Ltd., P. O. Box 10, Bait Amir, Haifa 3100, Israel
- Center for Reliability and Risk Management, Industrial Engineering and Management Department, SCE – Shamoon College of Engineering, Beer-Sheva, Israel [/expand]
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.
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