Decision Diagram Based Symbolic Algorithm for Evaluating the Reliability of a Multistate Flow Network
Joint Authors
Dong, Rongsheng
Zhu, Yangyang
Xu, Zhoubo
Li, Fengying
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-25
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Evaluating the reliability of Multistate Flow Network (MFN) is an NP-hard problem.
Ordered binary decision diagram (OBDD) or variants thereof, such as multivalued decision diagram (MDD), are compact and efficient data structures suitable for dealing with large-scale problems.
Two symbolic algorithms for evaluating the reliability of MFN, MFN_OBDD and MFN_MDD, are proposed in this paper.
In the algorithms, several operating functions are defined to prune the generated decision diagrams.
Thereby the state space of capacity combinations is further compressed and the operational complexity of the decision diagrams is further reduced.
Meanwhile, the related theoretical proofs and complexity analysis are carried out.
Experimental results show the following: (1) compared to the existing decomposition algorithm, the proposed algorithms take less memory space and fewer loops.
(2) The number of nodes and the number of variables of MDD generated in MFN_MDD algorithm are much smaller than those of OBDD built in the MFN_OBDD algorithm.
(3) In two cases with the same number of arcs, the proposed algorithms are more suitable for calculating the reliability of sparse networks.
American Psychological Association (APA)
Dong, Rongsheng& Zhu, Yangyang& Xu, Zhoubo& Li, Fengying. 2016. Decision Diagram Based Symbolic Algorithm for Evaluating the Reliability of a Multistate Flow Network. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112505
Modern Language Association (MLA)
Dong, Rongsheng…[et al.]. Decision Diagram Based Symbolic Algorithm for Evaluating the Reliability of a Multistate Flow Network. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112505
American Medical Association (AMA)
Dong, Rongsheng& Zhu, Yangyang& Xu, Zhoubo& Li, Fengying. Decision Diagram Based Symbolic Algorithm for Evaluating the Reliability of a Multistate Flow Network. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112505
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112505