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A fast algorithm for optimally finding partially disjoint shortest paths

Guo, Longkun
Deng, Yunyun
Liao, Kewen
He, Qiang
Sellis, Timos
Hu, Zheshan
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Abstract
The classical disjoint shortest path problem has recently recalled interests from researchers in the network planning and optimization community. However, the requirement of the shortest paths being completely vertex or edge disjoint might be too restrictive and demands much more resources in a network. Partially disjoint shortest paths, in which a bounded number of shared vertices or edges is allowed, balance between degree of disjointness and occupied network resources. In this paper, we consider the problem of finding k shortest paths which are edge disjoint but partially vertex disjoint. For a pair of distinct vertices in a network graph, the problem aims to optimally find k edge disjoint shortest paths among which at most a bounded number of vertices are shared by at least two paths. In particular, we present novel techniques for exactly solving the problem with a runtime that significantly improves the current best result. The proposed algorithm is also validated by computer experiments on both synthetic and real networks which demonstrate its superior efficiency of up to three orders of magnitude faster than the state of the art.
Keywords
Multidisciplinary Topics and Applications: Databases, Heuristic Search and Game Playing: Combinatorial Search and Optimisation, Multidisciplinary Topics and Applications: AI and the Web
Date
2018
Type
Conference item
Journal
Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence
Book
Volume
Issue
Page Range
1456-1462
Article Number
ACU Department
Peter Faber Business School
Faculty of Law and Business
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Open Access Status
Open access
License
File Access
Open
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