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The Delta-Wye Approximation Procedure for Two-Terminal Reliability

Author

Listed:
  • Manoj K. Chari

    (Louisiana State University, Baton Rouge, Louisiana)

  • Thomas A. Feo

    (University of Texas at Austin, Austin, Texas)

  • J. Scott Provan

    (University of North Carolina, Chapel Hill, North Carolina)

Abstract

The Delta-Wye Approximation Procedure (DWAP) is a procedure for estimating the two-terminal reliability of an undirected planar network G = ( V , E ) by reducing the network to a single edge via a sequence of local graph transformations. It combines the probability equations of Lehman—whose solutions provide bounds and approximations of two-terminal reliability for the individual transformations—with the Delta-Wye Reduction Algorithm of the second two authors—which performs the corresponding graph reduction in O (| V | 2 ) time. A computational study is made comparing the DWAP to one of the best currently known methods for approximating two-terminal reliability, and it is shown that the DWAP produces approximations that are between 10 and 80 times as accurate.

Suggested Citation

  • Manoj K. Chari & Thomas A. Feo & J. Scott Provan, 1996. "The Delta-Wye Approximation Procedure for Two-Terminal Reliability," Operations Research, INFORMS, vol. 44(5), pages 745-757, October.
    • Handle: RePEc:inm:oropre:v:44:y:1996:i:5:p:745-757
    DOI: 10.1287/opre.44.5.745
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    Cited by:

    1. Zohar, Ron & Geiger, Dan, 2007. "Estimation of flows in flow networks," European Journal of Operational Research, Elsevier, vol. 176(2), pages 691-706, January.

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