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Comparison of heuristics for the colourful travelling salesman problem
by J. Silberholz; A. Raiconi; R. Cerulli; M. Gentili; B. Golden; S. Chen
International Journal of Metaheuristics (IJMHEUR), Vol. 2, No. 2, 2013
Abstract: In the colourful travelling salesman problem (CTSP), given a graph G with a (not necessarily distinct) label (colour) assigned to each edge, a Hamiltonian tour with the minimum number of different labels is sought. The problem is a variant of the well-known Hamiltonian cycle problem and has potential applications in telecommunication networks, optical networks, and multimodal transportation networks, in which one aims to ensure connectivity or other properties by means of a limited number of connection types. We propose two new heuristics based on the deconstruction of a Hamiltonian tour into subpaths and their reconstruction into a new tour, as well as an adaptation of an existing approach. Extensive experimentation shows the effectiveness of the proposed approaches.
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