Changes in doc/groups.dox [1038:a2d142bb5d3c:1003:16f55008c863] in lemon-main
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doc/groups.dox
r1038 r1003 559 559 \image latex planar.eps "Plane graph" width=\textwidth 560 560 */ 561 562 /**563 @defgroup tsp Traveling Salesman Problem564 @ingroup algs565 \brief Algorithms for the symmetric traveling salesman problem566 567 This group contains basic heuristic algorithms for the the symmetric568 \e traveling \e salesman \e problem (TSP).569 Given an \ref FullGraph "undirected full graph" with a cost map on its edges,570 the problem is to find a shortest possible tour that visits each node exactly571 once (i.e. the minimum cost Hamiltonian cycle).572 573 These TSP algorithms are intended to be used with a \e metric \e cost574 \e function, i.e. the edge costs should satisfy the triangle inequality.575 Otherwise the algorithms could yield worse results.576 577 LEMON provides five well-known heuristics for solving symmetric TSP:578 - \ref NearestNeighborTsp Neareast neighbor algorithm579 - \ref GreedyTsp Greedy algorithm580 - \ref InsertionTsp Insertion heuristic (with four selection methods)581 - \ref ChristofidesTsp Christofides algorithm582 - \ref Opt2Tsp 2-opt algorithm583 584 \ref NearestNeighborTsp, \ref GreedyTsp, and \ref InsertionTsp are the fastest585 solution methods. Furthermore, \ref InsertionTsp is usually quite effective.586 587 \ref ChristofidesTsp is somewhat slower, but it has the best guaranteed588 approximation factor: 3/2.589 590 \ref Opt2Tsp usually provides the best results in practice, but591 it is the slowest method. It can also be used to improve given tours,592 for example, the results of other algorithms.593 594 \image html tsp.png595 \image latex tsp.eps "Traveling salesman problem" width=\textwidth596 */597 561 598 562 /**
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