On the construction of component importance measures for semi-Markov systems

Mario Hellmich () and Heinz-Peter Berg ()

Mathematical Methods of Operations Research, 2013, vol. 77, issue 1, 15-32

Abstract: In this paper we consider semi-Markov reliability models of systems with discrete state space in a setup general enough to cover systems with maintenance and repair. The systems are assumed to consist of several components which can either be up or down in each state. In this framework we propose two different types of component importance measures which are based on transition rates and interval availability, respectively. For these importance measures we study both the time-dependent and the steady state situation, and express them in terms of quantities easily calculated from the building blocks of the semi-Markov process. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Multicomponent system; Reliability; Importance measure; Semi-Markov process (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00186-012-0413-6

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