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Reliability and Availability of Repairable Systems

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Reliability Engineering

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Abstract

Reliability and availability analysis of repairable systems is generally performed using stochastic processes, including Markov, semi-Markov, and semi-regenerative processes. The mathematical foundation of these processes is given in Appendix A7. Equations used for the investigation of Markov and semi-Markov models are summarized in Table 6.2. This chapter investigates systematically most of the reliability models encountered in practical applications (the index S stays for system and designates the highest integration level considered). After a short introduction (Section 6.1), Section 6.2 investigates in detail the one-item structure (under very general assumptions). Sections 6.3 to 6.6 deal then extensively with basic series/parallel structures. To unify models and simplify calculations, it is assumed that the system has only one repair crew and that no further failures can occur at system down. Starting from constant failure and repair rates between successive states (Markov processes), generalization is performed step by step (beginning with the repair rates) up to the case in which the process involved is regenerative with a minimum number of regeneration states. Section 6.7 deals in depth with approximate expressions for large series/parallel structures, when independent elements or macro structures are used. Sections 6.8 to 6.10 consider systems with complex structures as well as the influence of imperfect switching and of preventive maintenance.

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  1. ETH Zurich, Via Generoso 5, 6900, Lugano, Switzerland

    Prof. Dr. Alessandro Birolini (emerit. o. Prof.)

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  1. Prof. Dr. Alessandro Birolini
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Birolini, A. (1999). Reliability and Availability of Repairable Systems. In: Reliability Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03792-8_6

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  • DOI: https://doi.org/10.1007/978-3-662-03792-8_6

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  • Print ISBN: 978-3-662-03794-2

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