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A Computational Comparison of Five Heuristic Algorithms for the Euclidean Traveling Salesman Problem

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Evaluating Mathematical Programming Techniques

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 199))

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Abstract

This paper presents a computational comparison of five heuristic algorithms for the traveling salesman problem (TSP). Each of these algorithms is a composite algorithm consisting of a simple tour construction algorithm and a post-processor. The five tour construction procedures considered are all insertion algorithms which may be easily implemented. The post-processor used in the five composite algorithms is a modified 3-opt procedure that is shown to outperform both the 3-opt and 2-opt branch exchange procedures. The final result of the computational tests is the conclusion that there are simple and easily implemented heuristic procedures that will produce high quality solutions to the TSP in a moderate amount of computer time.

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© 1982 Springer-Verlag Berlin Heidelberg

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Stewart, W.R. (1982). A Computational Comparison of Five Heuristic Algorithms for the Euclidean Traveling Salesman Problem. In: Mulvey, J.M. (eds) Evaluating Mathematical Programming Techniques. Lecture Notes in Economics and Mathematical Systems, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95406-1_10

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  • DOI: https://doi.org/10.1007/978-3-642-95406-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11495-6

  • Online ISBN: 978-3-642-95406-1

  • eBook Packages: Springer Book Archive

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