An efficient searching method for minimal path vectors in multi-state networks

Yi-Kuei Lin () and Shin-Guang Chen ()
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Yi-Kuei Lin: National Chiao Tung University
Shin-Guang Chen: Tungnan University

Annals of Operations Research, 2022, vol. 312, issue 1, No 16, 333-344

Abstract: Abstract Searching for minimal path vectors (MPVs) is an important topic in solving network related problems, especially for the evaluation of network reliability. One of the popular approaches, namely the three-stage method (TSM), is influenced deeply on the efficiency of searching for minimal path vectors in multi-state networks (MSN). TSM consists of three stages, i.e., searching for all minimal path sets, searching for all MPVs, and calculating union probability on MPVs. After reviewing previous works in the literaure, this paper proposes a more efficient method based on cyclic check on the candidates of MPVs, which can do an efficient searching for MPVs in MSNs and even reduce the three-step approach to two-step approach. Benchmarking with the well-known algorithms are made in this paper, and more complicated networks are also examined for verification of the proposed method.

Keywords: Network reliability; Minimal path sets; Minimal path vectors; Fast enumeration; Cyclic check (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-019-03158-6

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