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Structural Importance and Local Importance in Network Reliability

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Graph-Based Modelling in Engineering

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 42))

Abstract

Network reliability analysis has interesting applications in areas such as computer and mobile networks. However, the computation of many important reliability measures (all-terminal reliability, reachability) turns out to be NP-hard. This statement applies to the computation of relevant reliability importance measures, too. In this paper we introduce local importance measures that describe the importance of an edge or vertex of the network in its local network neighborhood. Suitable scaling of the local neighborhood renders the computation of generally intractable reliability measures possible.

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Authors and Affiliations

  1. Faculty of Mathematics, Sciences, and Computer Science, University of Applied Sciences Mittweida, Technikumplatz 17, 09648, Mittweida, Germany

    P. Tittmann & S. Kischnick

Authors
  1. P. Tittmann
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  2. S. Kischnick
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Correspondence to P. Tittmann .

Editor information

Editors and Affiliations

  1. Mechanical Engineering and Computer Science, University of Bielsko-Biala, Bielsko-Biała, Poland

    Stanisław Zawiślak

  2. University of Bielsko-Biala , Bielsko-Biała, Poland

    Jacek Rysiński

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Tittmann, P., Kischnick, S. (2017). Structural Importance and Local Importance in Network Reliability. In: Zawiślak, S., Rysiński, J. (eds) Graph-Based Modelling in Engineering. Mechanisms and Machine Science, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-319-39020-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-39020-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39018-5

  • Online ISBN: 978-3-319-39020-8

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