Improvements of the Held-Karp algorithm for the symmetric traveling-salesman problem.

作者: Keld Helbig Hansen , Jakob Krarup

DOI: 10.1007/BF01585505

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摘要: A highly efficient algorithm (HK) devised by Held and Karp for solving the symmetric traveling-salesman problem was presented at 7th Mathematical Programming Symposium in 1970 published 1971. Its outstanding performance is due to a clever exploitation of relationship between minimum spanning trees. However, various improvements their method have led version (IHK) which tends be some 25 times faster than original one. Experiments with data selected random, ranging size up 80 cities, show that computing time IHK roughly doubled as number cities increased 10.

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