Lin-Kernighan heuristic adaptations for the generalized traveling salesman problem

The Lin-Kernighan heuristic is known to be one of the most successful heuristics for the Traveling Salesman Problem (TSP) It has also proven its efficiency in application to some other problems In this paper we discuss possible adaptations of TSP heuristics for the generalized traveling salesman problem (GTSP) and focus on the case of the Lin-Kernighan algorithm At first we provide an easy-to-understand description of the original Lin-Kernighan heuristic Then we propose several adaptations both trivial and complicated Finally we conduct a fair competition between all the variations of the Lin-Kernighan adaptation and some other GTSP heuristics It appears that our adaptation of the Lin-Kernighan algorithm for the GTSP reproduces the success of the original heuristic Different variations of our adaptation outperform all other heuristics in a wide range of trade-offs between solution quality and running time making Lin-Kernighan the state-of-the-art GTSP local search Crown Copyright (C) 2010 Published by Elsevier B V All rights reserved