Abstract
We present a theoretical average-case analysis of a 2-opt algorithm for the traveling salesman problem. First, we give a model which allows us to compute the required number of steps and the distribution of final solutions found by a best improvement algorithm. This model is empirically validated for a restricted version of the 2-opt neighborhood. Secondly, we present a semi-empirical analysis of the average-case performance of an iterated 2-opt and Lin-Kernighan algorithm based on empirically obtained parameters.
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© 1996 Kluwer Academic Publishers
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ten Eikelder, H.M.M., Verhoeven, M.G.A., Vossen, T.W.M., Aarts, E.H.L. (1996). A Probabilistic Analysis of Local Search. In: Osman, I.H., Kelly, J.P. (eds) Meta-Heuristics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1361-8_36
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DOI: https://doi.org/10.1007/978-1-4613-1361-8_36
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4613-1361-8
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