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An Effective Heuristic Algorithm for the Traveling-Salesman Problem
Abstract
This paper discusses a highly effective heuristic procedure for generating optimum and near-optimum solutions for the symmetric traveling-salesman problem. The procedure is based on a general approach to heuristics that is believed to have wide applicability in combinatorial optimization problems. The procedure produces optimum solutions for all problems tested, “classical” problems appearing in the literature, as well as randomly generated test problems, up to 110 cities. Run times grow approximately as n 2; in absolute terms, a typical 100-city problem requires less than 25 seconds for one case (GE635), and about three minutes to obtain the optimum with above 95 per cent confidence.
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Citations
Cited by
Optimization by Simulated Annealing
Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983) · Science · doi:10.1126/science.220.4598.671 · Cited by 45,134
Ant colony system: a cooperative learning approach to the traveling salesman problem
Dorigo, M., & Gambardella, L. M. (1997) · IEEE Transactions on Evolutionary Computation · doi:10.1109/4235.585892 · Cited by 8,081
Hoos (2000) · doi:10.1016/s0167-739x(00)00043-1 · Cited by 2,737
An Analysis of Several Heuristics for the Traveling Salesman Problem
Rosenkrantz, D. J., Stearns, R. E., & Lewis, II (1977) · SIAM Journal on Computing · doi:10.1137/0206041 · Cited by 837
Designing and reporting on computational experiments with heuristic methods
Barr, R. S., Golden, B. L., Kelly, J. P., Resende, M. G. C., & Stewart, W. R. (1995) · Journal of Heuristics · doi:10.1007/bf02430363 · Cited by 448
Metadata
- Authors
- Lin, S., & Kernighan, B. W.
- Venue
- Operations Research
- Published
- 1973-04
- Volume
- 21
- Issue
- 2
- Pages
- 498-516
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W2042986967
- Cited by
- 3,821
- References
- 0
- FWCI
- 77.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lin, S., & Kernighan, B. W. (1973). An Effective Heuristic Algorithm for the Traveling-Salesman Problem. Operations Research. https://doi.org/10.1287/opre.21.2.498
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
