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A Memory-efficient Bounding Algorithm for the Two-terminal Reliability Problem
Author(s) -
Minh Duc Le,
Max Walter,
Josef Weidendorfer
Publication year - 2013
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2012.11.015
Subject(s) - bounding overwatch , computer science , terminal (telecommunication) , limiting , algorithm , reliability (semiconductor) , extension (predicate logic) , auxiliary memory , graph , path (computing) , data structure , theoretical computer science , parallel computing , distributed computing , computer network , mechanical engineering , power (physics) , physics , quantum mechanics , artificial intelligence , computer hardware , engineering , programming language
The terminal-pair reliability problem, i.e. the problem of determining the probability that there exists at least one path of working edges connecting the terminal nodes, is known to be NP-hard. Thus, bounding algorithms are used to cope with large graph sizes. However, they still have huge demands in terms of memory. We propose a memory-efficient implementation of an extension of the Gobien-Dotson bounding algorithm. Without increasing runtime, compression of relevant data structures allows us to use low-bandwidth high-capacity storage. In this way, available hard disk space becomes the limiting factor. Depending on the input structures, graphs with several hundreds of edges (i.e. system components) can be handled

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