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Abstract: This report describes an implementation of the Lin-Kernighan heuristic, one of the most successful methods for generating optimal or nearoptimal solutions for the symmetric traveling salesman problem. Computational tests show that the implementation is highly effective. It has found optimal solutions for all solved problem instances we have been able to obtain, including a 7397-city problem (the largest nontrivial problem instance solved to optimality today). Furthermore, the algorithm... (Update)
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...reasonable time using the technique described in Section 2.1. Moreover, the publicly available implementation of Helsgaun s heuristic [17] should suffice for most practical situations when instances are this small. It gets within 0.3 of optimal within a (normalized) second...
...of the current heuristics are hard to beat. For instance, the N=10 iteration version of the publicly available LKH code of Keld Helsgaun [40] can get within 0.2 of optimum in no more than 20 seconds (normalized) for each of our 1,000 city random instances and for the six...
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4: The traveling salesman problem and minimum spanning trees: Part II (context) - Held, Karp - 1971
3: A multilevel approach to the travelling salesman problem - Walshaw
3: Large-step markov chains for the traveling salesman problem - Martin, Otto et al. - 1991
BibTeX entry: (Update)
K. Helsgaun. An effective implementation of the Lin-Kernighan traveling salesman heuristic. European Journal of Operations Research, 12:106--130, 2000. Source code currently available from the author's http://www.dat.ruc.dk/keld/. http://citeseer.ist.psu.edu/helsgaun00effective.html More
@article{ helsgaun00effective,
author = "K. {HELSGAUN}",
title = "An effective implementation of the {L}in-{K}ernighan traveling salesman heuristic",
journal = "European J. Oper. Res.",
volume = "126",
number = "1",
pages = "106--130",
year = "2000",
url = "citeseer.ist.psu.edu/helsgaun00effective.html" }
Citations (may not include all citations):773 Reducibility among Combinatorial Problems (context) - Karp
141 An Effective Heuristic Algorithm for the Traveling-Salesman .. (context) - Lin, Kernighan - 1973
106 The Traveling Salesman Problem: A Guided Tour of Combinatori.. (context) - Lawler, Lenstra et al. - 1985
48 Solution of a large-scale traveling-salesman problem (context) - Dantzig, Fulkerson et al. - 1954
25 An algorithm for the traveling salesman problem (context) - Little, Murty et al. - 1963
Documents on the same site (http://www.dat.ruc.dk/~keld/research/PUB.index.html):
A Portable C++ Library for Coroutine Sequencing - Helsgaun (Correct)
Discrete Event Simulation in Java - Helsgaun (Correct)
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