Evaluating the reliability of a stochastic distribution network in terms of minimal cuts

Yi-Feng Niu, Zi-You Gao and William H.K. Lam

Transportation Research Part E: Logistics and Transportation Review, 2017, vol. 100, issue C, 75-97

Abstract: This paper presents a d-minimal cut based algorithm to evaluate the performance index Rd+1 of a distribution network, defined as the probability that a specified demand d+1 can be successfully distributed through stochastic arc capacities from the source to the destination. To improve the efficiency of solving d-minimal cuts, a novel technique is developed to determine the minimal capacities of arcs. Also, two new judging criteria are proposed to detect duplicate d-minimal cuts. Both theoretical and computational results indicate that our algorithm outperforms the existing methods. Furthermore, a real case study is provided to illustrate the application of the algorithm.

Keywords: Reliability; Stochastic distribution network; Minimal cut; D-minimal cut (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (17)

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DOI: 10.1016/j.tre.2017.01.008

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