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Solving the shortest path tour problem
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DOI：10.1016/j.ejor.2013.04.029.png)
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摘要
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In this paper, we study the shortest path tour problem in which a shortest path from a given origin node to a given destination node must be found in a directed graph with non-negative arc lengths. Such path needs to cross a sequence of node subsets that are given in a fixed order. The subsets are disjoint and may be different-sized. A polynomial-time reduction of the problem to a classical shortest path problem over a modified digraph is described and two solution methods based on the above reduction and dynamic programming, respectively, are proposed and compared with the state-of-the-art solving procedure. The proposed methods are tested on existing datasets for this problem and on a large class of new benchmark instances. The computational experience shows that both the proposed methods exhibit a consistent improved performance in terms of computational time with respect to the existing solution method. (C) 2013 Elsevier B.V. All rights reserved.
Keyword:
Network flows
Shortest path
Structure path constraints
Labeling method
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IF:
6
论文数:
2.2W
被引数:
6.4W
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