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Efficient Enumeration of d-Minimal Paths in Reliability Evaluation of Multistate Networks
Joint Authors
Xu, Xiu-Zhen
Niu, Yi-Feng
Li, Qing
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A number of real-world complex networks can be modeled as multistate networks for performance analysis.
A multistate network consists of multistate components and possesses multiple different performance levels.
For such a network, reliability is concerned with the probability of the network capacity level greater than or equal to a predetermined demand level d.
One major method for multistate network reliability evaluation is using d-minimal paths.
This paper proposes an efficient algorithm to find d-minimal paths.
First, a new concept of qualified state vector is defined so as to fix a relatively smaller search space of d-minimal paths, and a sufficient and necessary condition for a qualified state vector to be d-minimal path is established.
Then, the max-flow algorithm and the enumeration algorithm are integrated to search for d-minimal paths in the determined search space that is recursively divided into subspaces such that the searching efficiency can be increased as much as possible.
Both analytical and numerical results show that the proposed algorithm is more efficient in finding all d-minimal paths.
In addition, a case study related to power transmission network is performed to demonstrate the implication of network reliability.
American Psychological Association (APA)
Xu, Xiu-Zhen& Niu, Yi-Feng& Li, Qing. 2019. Efficient Enumeration of d-Minimal Paths in Reliability Evaluation of Multistate Networks. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131828
Modern Language Association (MLA)
Xu, Xiu-Zhen…[et al.]. Efficient Enumeration of d-Minimal Paths in Reliability Evaluation of Multistate Networks. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1131828
American Medical Association (AMA)
Xu, Xiu-Zhen& Niu, Yi-Feng& Li, Qing. Efficient Enumeration of d-Minimal Paths in Reliability Evaluation of Multistate Networks. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131828
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131828