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Average-case approximation ratio of the 2-opt algorithm for the TSP
Authors:Christian Engels
Institution:Saarland University, Department of Computer Science, Postfach 151150, 66041 Saarbrücken, Germany
Abstract:We show that the 2-opt heuristic for the traveling salesman problem achieves an expected approximation ratio of roughly View the MathML source for instances with n nodes, where the edge weights are drawn uniformly and independently at random.
Keywords:Traveling salesman problem  2-opt  Average-case analysis  Approximation ratio
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