An Analysis of Several Heuristics for the Traveling Salesman Problem

Abstract

Several polynomial time algorithms finding “good,” but not necessarily optimal, tours for the traveling salesman problem are considered. We measure the closeness of a tour by the ratio of the obtained tour length to the minimal tour length. For the nearest neighbor method, we show the ratio is bounded above by a logarithmic function of the number of nodes… (More)
DOI: 10.1137/0206041

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