Title: An effective algorithm for computing all-terminal reliability bounds
Other Titles: 10.1002/net.21634
Authors: Silva, Jaime 
Gomes, Teresa 
Tipper, David 
Martins, Lúcia 
Kounev, Velin 
Keywords: all-terminal network reliability;network availability;binary decision diagram (BDD);sum of disjoint products;bounds computation
Issue Date: 2015
Publisher: Wiley
Project: ICIS Project CENTRO-07- 0224-FEDER-002003 
info:eu-repo/grantAgreement/FCT/5876/147388/PT 
Abstract: The exact calculation of all‐terminal reliability is not feasible in large networks. Hence estimation techniques and lower and upper bounds for all‐terminal reliability have been utilized. Here, we propose using an ordered subset of the mincuts and an ordered subset of the minpaths to calculate an all‐terminal reliability upper and lower bound, respectively. The advantage of the proposed new approach results from the fact that it does not require the enumeration of all mincuts or all minpaths as required by other bounds. The proposed algorithm uses maximally disjoint minpaths, prior to their sequential generation, and also uses a binary decision diagram for the calculation of their union probability. The numerical results show that the proposed approach is computationally feasible, reasonably accurate and much faster than the previous version of the algorithm. This allows one to obtain tight bounds when it not possible to enumerate all mincuts or all minpaths as revealed by extensive tests on real‐world networks.
Description: An effective algorithm for computing all-terminal reliability bounds
URI: http://hdl.handle.net/10316/48333
ISSN: 0028-3045
Rights: openAccess
Appears in Collections:I&D INESCC - Artigos em Revistas Internacionais

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