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Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance
Joint Authors
Wang, Shuguo
Guan, Xiucui
Zhang, Bingwu
He, Chunyuan
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In a shortest path improvement problem under unit Hamming distance (denoted by SPIUH), an edge weighted graph with a set of source-terminal pairs is given; we need to modify the lengths of edges by a minimum cost under unit Hamming distance such that the modified distances of the shortest paths are upper bounded by given values.
The SPIUH problem on arborescent network is formulated as a 0-1 integer programming model.
Some strongly polynomial time algorithms are designed for the problems on some special arborescent networks.
Firstly, two greedy algorithms are proposed for problems on chain networks and special star-tree networks, respectively.
Secondly, a strongly polynomial time algorithm is presented for the problem with a single source and constrained paths.
Finally, a heuristic algorithm and its computational experiments are given for the SPIUH problem on general graphs.
American Psychological Association (APA)
Zhang, Bingwu& Guan, Xiucui& He, Chunyuan& Wang, Shuguo. 2013. Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-502957
Modern Language Association (MLA)
Zhang, Bingwu…[et al.]. Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-502957
American Medical Association (AMA)
Zhang, Bingwu& Guan, Xiucui& He, Chunyuan& Wang, Shuguo. Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-502957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502957