The Delta–Wye approximation procedure for two-terminal reliability

The Delta–Wye approximation procedure for two-terminal reliability

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Article ID: iaor20003688
Country: United States
Volume: 44
Issue: 5
Start Page Number: 745
End Page Number: 757
Publication Date: Sep 1996
Journal: Operations Research
Authors: , ,
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(V2) 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.

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