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Parallel Implementation of the Factoring Method for Network Reliability Calculation

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Book cover Computational Science and Its Applications – ICCSA 2014 (ICCSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8584))

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Abstract

We consider the problem of a network reliability calculation for a network with unreliable communication links and perfectly reliable nodes. For such networks, we study two different reliability indices: network probabilistic connectivity and its average pairwise connectivity. The problem of precise calculation of both these characteristics is known to be NP-hard. For solving these problems, we propose the parallel methods, which are based on the well-known factoring method. Some optimization techniques for proposed algorithms are proposed for speeding up calculations taking into account a computer architecture.

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Author information

Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, prospect Akademika Lavrentjeva 6, 630090, Novosibirsk, Russia

    Denis A. Migov & Alexey S. Rodionov

Authors
  1. Denis A. Migov
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  2. Alexey S. Rodionov
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Editor information

Editors and Affiliations

  1. School of Engineering, University of Basilicata, 85100, Potenza, Italy

    Beniamino Murgante

  2. Department of Computer and Information Sciences, Covenant University, Ota, Nigeria

    Sanjay Misra

  3. Department of Production and Systems, University of Minho, 4710-057, Braga, Portugal

    Ana Maria A. C. Rocha

  4. DICAR, Polytecnico di Bari, 70125, Bari, Italy

    Carmelo Torre

  5. University of Minho, Braga, Portugal

    Jorge Gustavo Rocha  & Maria Irene Falcão  & 

  6. Monash University, 3800, Clayton, VIC, Australia

    David Taniar

  7. Department of Intelligent Informatics, Kyushu Sangyo University, 2-3-1 Matsukadai, 813-8503, Higashi-ku, Fukuoka, Japan

    Bernady O. Apduhan

  8. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

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© 2014 Springer International Publishing Switzerland

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Migov, D.A., Rodionov, A.S. (2014). Parallel Implementation of the Factoring Method for Network Reliability Calculation. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2014. ICCSA 2014. Lecture Notes in Computer Science, vol 8584. Springer, Cham. https://doi.org/10.1007/978-3-319-09153-2_49

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  • DOI: https://doi.org/10.1007/978-3-319-09153-2_49

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09152-5

  • Online ISBN: 978-3-319-09153-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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