Solving the shortest path tour problem

P. Festa, F. Guerriero, D. Laganà and R. Musmanno

European Journal of Operational Research, 2013, vol. 230, issue 3, 464-474

Abstract: 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.

Keywords: Network flows; Shortest path; Structure path constraints; Labeling method (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:230:y:2013:i:3:p:464-474

DOI: 10.1016/j.ejor.2013.04.029

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