The undirected Selective Travelling Salesman Problem (STSP) is defined on a graph G= ( V, E) with positive profits associated with vertices, and distances associated with edges. The STSP consists of determining a maximal profit Hamiltonian cycle over a subset of V whose length does not exceed a pres
A tabu search heuristic using genetic diversification for the clustered traveling salesman problem
β Scribed by Gilbert Laporte; Jean-Yves Potvin; Florence Quilleret
- Publisher
- Springer US
- Year
- 1997
- Tongue
- English
- Weight
- 736 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1381-1231
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β¦ Synopsis
The clustered traveling salesman problem is an extension of the classical traveling salesman problem where the set of vertices is partitioned into clusters. The objective is to find a least cost Hamiltonian Cycle such that the vertices of each cluster are visited contiguously and the clusters are visited in a prespecified order. A tabu search heuristic is proposed to solve this problem. This algorithm periodically restarts its search by merging two elite solutions to form a new starting solution (in a manner reminiscent of genetic algorithms). Computational results are reported on sets of Euclidean problems with different characteristics.
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