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Birnbaum, Z.W. (1969) On the Importance of Different Components in a Multicomponent System. In: Krishnaiah, P.R., Ed., Multivariate Analysis—II, Academic Press, New York, 581-592.

has been cited by the following article:

• TITLE: Availability Importance Measures for Virtualized System with Live Migration

  AUTHORS: Junjun Zheng, Hiroyuki Okamura, Tadashi Dohi

  KEYWORDS: Virtualized System, Live Migration, System Availability, Component Importance Analysis, Fault Tree, Continuous-Time Markov Chain

  JOURNAL NAME: Applied Mathematics, Vol.6 No.2, February 10, 2015

  ABSTRACT: This paper presents component importance analysis for virtualized system with live migration. The component importance analysis is significant to determine the system design of virtualized system from availability and cost points of view. This paper discusses the importance of components with respect to system availability. Specifically, we introduce two different component importance analyses for hybrid model (fault trees and continuous-time Markov chains) and continuous-time Markov chains, and show the analysis for existing probabilistic models for virtualized system. In numerical examples, we illustrate the quantitative component importance analysis for virtualized system with live migration.