Exploring variants of 2-opt and 3-opt for the general routing problem

Muyldermans, Luc, Beullens, Patrick, Cattrysse, Dirk and Van Oudheusden, Dirk (2005) Exploring variants of 2-opt and 3-opt for the general routing problem Operations Research, 53, (6) (doi:10.1287/opre.1040.0205).


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The general routing problem (GRP) is the problem of finding a minimum length tour, visiting a number of specified vertices and edges in an undirected graph. In this paper, we describe how the well-known 2-opt and 3-opt local search procedures for node routing problems can be adapted to solve arc and general routing problems successfully. Two forms of the 2-opt and 3-opt approaches are applied to the GRP. The first version is similar to the conventional approach for the traveling salesman problem; the second version includes a dynamic programming procedure and explores a larger neighborhood at the expense of higher running times. Extensive computational tests, including ones on larger instances than previously reported in the arc routing literature, are performed with variants of both algorithms. In combination with the guided local search metaheuristic and the mechanisms of marking and neighbor lists, the procedures system

Item Type: Article
Digital Object Identifier (DOI): doi:10.1287/opre.1040.0205
ISSNs: 0030-364X (print)
Related URLs:
Organisations: Operational Research
ePrint ID: 205839
Date :
Date Event
Date Deposited: 14 Dec 2011 10:27
Last Modified: 18 Apr 2017 01:04
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/205839

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