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On Reliability Analysis of Consecutive-k Out-Of-n: F Systems and Their Generalizations — A Survey

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Approximation, Probability, and Related Fields

Abstract

A special type of system has attracted considerable attention during the past decade. This is the so-called consecutive-k-out-of-n:F system. A consecutive-k-out-of-n:F system consists of a sequence of n ordered components which either fail or operate. The system fails whenever k consecutive components are failed, In case of k=1 and k=n the system is the series and the parallel system, respectively. There are two topologies for the system considered: a line or a circle. Therefore we have to distinguish between the linear and the circular consecutive-k-out-of-n:F system.

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Author information

Authors and Affiliations

  1. Hochschule für Technik &Wirtschaft Dresden, Germany

    Wolfgang W. Preuss

  2. University of California, Santa Barbara, CA, USA

    Thomas K. Boehme

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  1. Wolfgang W. Preuss
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Editors and Affiliations

  1. Dept. of Mathematics, Memphis State University, Memphis, Tennessee, 38152, USA

    George Anastassiou

  2. Statistics & Appl. Probability, University of California, Santa Barbara, California, 93106-3110, USA

    Svetlozar T. Rachev

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© 1994 Springer Science+Business Media New York

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Preuss, W.W., Boehme, T.K. (1994). On Reliability Analysis of Consecutive-k Out-Of-n: F Systems and Their Generalizations — A Survey. In: Anastassiou, G., Rachev, S.T. (eds) Approximation, Probability, and Related Fields. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2494-6_31

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  • DOI: https://doi.org/10.1007/978-1-4615-2494-6_31

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6063-6

  • Online ISBN: 978-1-4615-2494-6

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