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A Minimal Path-Based Method for Computing Multistate Network Reliability
Joint Authors
Xu, Xiu-Zhen
Niu, Yi-Feng
He, Can
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Most of modern technological networks that can perform their tasks with various distinctive levels of efficiency are multistate networks, and reliability is a fundamental attribute for their safe operation and optimal improvement.
For a multistate network, the two-terminal reliability at demand level d, defined as the probability that the network capacity is greater than or equal to a demand of d units, can be calculated in terms of multistate minimal paths, called d-minimal paths (d-MPs) for short.
This paper presents an efficient algorithm to find all d-MPs for the multistate two-terminal reliability problem.
To advance the solution efficiency of d-MPs, an improved model is developed by redefining capacity constraints of network components and minimal paths (MPs).
Furthermore, an effective technique is proposed to remove duplicate d-MPs that are generated multiple times during solution.
A simple example is provided to demonstrate the proposed algorithm step by step.
In addition, through computational experiments conducted on benchmark networks, it is found that the proposed algorithm is more efficient.
American Psychological Association (APA)
Xu, Xiu-Zhen& Niu, Yi-Feng& He, Can. 2020. A Minimal Path-Based Method for Computing Multistate Network Reliability. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144072
Modern Language Association (MLA)
Xu, Xiu-Zhen…[et al.]. A Minimal Path-Based Method for Computing Multistate Network Reliability. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1144072
American Medical Association (AMA)
Xu, Xiu-Zhen& Niu, Yi-Feng& He, Can. A Minimal Path-Based Method for Computing Multistate Network Reliability. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144072