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A survey of efficient reliability computation using disjoint products approach

Publication ,  Journal Article
Rai, S; Veeraraghavan, M; Trivedi, KS
Published in: Networks
January 1, 1995

Several algorithms have been developed to solve the reliability problem for nonseries‐parallel networks using the sum of disjoint products (SDP) approach. This paper provides a general framework for most of these techniques. It reviews methods that help improve computer time and memory requirements in reliability computation. These parameters are generally used to compare SDP algorithms. We also overview three multiple variable inversion algorithms that result in sum of disjoint products expressions with fewer terms than that of algorithms that use only a single‐variable inversion. One common network is solved for two‐terminal network reliability using each of these algorithms. Finally, we have provided a comparison among these techniques. Copyright © 1995 Wiley Periodicals, Inc., A Wiley Company

Duke Scholars

Published In

Networks

DOI

EISSN

1097-0037

ISSN

0028-3045

Publication Date

January 1, 1995

Volume

25

Issue

3

Start / End Page

147 / 163

Related Subject Headings

  • Operations Research
  • 4901 Applied mathematics
  • 4606 Distributed computing and systems software
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Rai, S., Veeraraghavan, M., & Trivedi, K. S. (1995). A survey of efficient reliability computation using disjoint products approach. Networks, 25(3), 147–163. https://doi.org/10.1002/net.3230250308
Rai, S., M. Veeraraghavan, and K. S. Trivedi. “A survey of efficient reliability computation using disjoint products approach.” Networks 25, no. 3 (January 1, 1995): 147–63. https://doi.org/10.1002/net.3230250308.
Rai S, Veeraraghavan M, Trivedi KS. A survey of efficient reliability computation using disjoint products approach. Networks. 1995 Jan 1;25(3):147–63.
Rai, S., et al. “A survey of efficient reliability computation using disjoint products approach.” Networks, vol. 25, no. 3, Jan. 1995, pp. 147–63. Scopus, doi:10.1002/net.3230250308.
Rai S, Veeraraghavan M, Trivedi KS. A survey of efficient reliability computation using disjoint products approach. Networks. 1995 Jan 1;25(3):147–163.
Journal cover image

Published In

Networks

DOI

EISSN

1097-0037

ISSN

0028-3045

Publication Date

January 1, 1995

Volume

25

Issue

3

Start / End Page

147 / 163

Related Subject Headings

  • Operations Research
  • 4901 Applied mathematics
  • 4606 Distributed computing and systems software
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics