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arXiv · 2303.14424

Orbits, schemes and dynamic programming procedures for the TSP 4-OPT neighborhood

Giuseppe Lancia·Marcello Dalpasso
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Abstract

We discuss the way to group all 25 possible 4-OPT moves into 7 orbits of equivalent moves. We then describe two implementations, one for a $\Theta(n^3)$ algorithm by de Berg's et al. and one of a $\Theta(n^2)$ algorithm by Glover, for finding the best 4-OPT move via dynamic programming.

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Giuseppe Lancia, Marcello Dalpasso. 2023-03-25. Orbits, schemes and dynamic programming procedures for the TSP 4-OPT neighborhood. https://arxiv.org/abs/2303.14424

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