In optimization, the Lin-Kernighan algorithm is one of the best heuristics for the Euclidean traveling salesman problem. It briefly involves swapping pairs of sub-tours to make a new tour. It is a generalization of 2-opt and 3-opt. 2-opt and 3-opt work by switching two or three paths to make the tour shorter. Lin-Kernighan is adaptive and at each step decides how many paths between cities need to be switched to find a shorter tour.

See also

References

  • S. Lin and B. W. Kernighan (1973). An Effective Heuristic Algorithm for the Traveling-Salesman Problem. Operations Res. 21, 498-516. 
  • K. Helsgaun. "An Effective Implementation of the Lin-Kernighan Traveling Salesman Heuristic". 

External links

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