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A fast optimization method based on a hierarchical strategy for the travelling salesman problem

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  • Sun, T.
  • Meakin, P.
  • Jøssang, T.

Abstract

An algorithm based on a hierarchical strategy is proposed for solving the travelling salesman problem. The tour patterns have been analyzed and compared with those generated from different stages of simulated annealing. A set of problems with known solutions has been used to evaluate the new algorithm. The hierarchical algorithm is shown to be very fast. It finds a path length similar to that obtained using simulated annealing algorithm. The path length is quite far from the global minimum but compares favorably to that obtained using simulated annealing.

Suggested Citation

  • Sun, T. & Meakin, P. & Jøssang, T., 1993. "A fast optimization method based on a hierarchical strategy for the travelling salesman problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 232-242.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:2:p:232-242
    DOI: 10.1016/0378-4371(93)90004-N
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
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