A simple algorithm for reliability evaluation of a stochastic-flow network with node failure

Yi-Kuei Lin

doi:10.1016/S0305-0548(00)00039-3

A simple algorithm for reliability evaluation of a stochastic-flow network with node failure

Yi-Kuei Lin^*

^*Corresponding author for this work

Department of Industrial Engineering and Management

Research output: Contribution to journal › Article › peer-review

230 Scopus citations

Abstract

This paper addresses a stochastic-flow network in which each arc or node has several capacities and may fail. Given the demand d, we try to evaluate the system reliability that the maximum flow of the network is not less than d. A simple algorithm is proposed firstly to generate all lower boundary points for d, and then the system reliability can be calculated in terms of such points. One computer example is shown to illustrate the solution procedure.

Original language	English
Pages (from-to)	1277-1285
Number of pages	9
Journal	Computers and Operations Research
Volume	28
Issue number	13
DOIs	https://doi.org/10.1016/S0305-0548(00)00039-3
State	Published - 1 Nov 2001

Keywords

Maximum flow
Node failure
Stochastic-flow network
System reliability

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