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Network probabilistic connectivity: Exact calculation with use of chains

  • Russian Academy of Sciences

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The algorithmic techniques which allow high efficiency in the precise calculation of the reliability of an undirected graph with absolutely reliable nodes and unreliable edges are considered in this paper. The new variant of the branching algorithm that allow branching by chains is presented along with improvement of series-parallel reduction method that permits the reduction of a chain with more than two edges by one step. Some programming techniques which accomplish high efficiency are also discussed. Special notice is given to the problem of computer storage economy. Comprehensive computer simulation results show the advantages of the proposed algorithms, that the calculation time decreases significantly in comparison with existent methods.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsAntonio Lagan`a, Marina L. Gavrilova, Vipin Kumar, Youngsong Mun, C.J. Kenneth Tan, Osvaldo Gervasi
PublisherSpringer Verlag
Pages315-324
Number of pages10
ISBN (Print)3540220577, 9783540220572
DOIs
StatePublished - 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3045
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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