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How to make a greedy heuristic for the asymmetric traveling salesman problem competitive

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  • Jäger, G.
  • Goldengorin, B.

    (Groningen University)

Abstract

It is widely confirmed by many computational experiments that a greedy type heuristics for the Traveling Salesman Problem (TSP) produces rather poor solutions except for the Euclidean TSP. The selection of arcs to be included by a greedy heuristic is usually done on the base of cost values. We propose to use upper tolerances of an optimal solution to one of the relaxed Asymmetric TSP (ATSP) to guide the selection of an arc to be included in the final greedy solution. Even though it needs time to calculate tolerances, our computational experiments for the wide range of ATSP instances show that tolerance based greedy heuristics is much more accurate an faster than previously reported greedy type algorithms

Suggested Citation

  • Jäger, G. & Goldengorin, B., 2005. "How to make a greedy heuristic for the asymmetric traveling salesman problem competitive," Research Report 05A11, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:05a11
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    File URL: http://irs.ub.rug.nl/ppn/289323576
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    References listed on IDEAS

    as
    1. Goldengorin, Boris & Sierksma, Gerard, 2003. "Combinatorial optimization tolerances calculated in linear time," Research Report 03A30, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    2. Egon Balas & Matthew J. Saltzman, 1991. "An Algorithm for the Three-Index Assignment Problem," Operations Research, INFORMS, vol. 39(1), pages 150-161, February.
    3. repec:dgr:rugsom:03a30 is not listed on IDEAS
    4. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    5. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
    6. Glover, Fred & Gutin, Gregory & Yeo, Anders & Zverovich, Alexey, 2001. "Construction heuristics for the asymmetric TSP," European Journal of Operational Research, Elsevier, vol. 129(3), pages 555-568, March.
    Full references (including those not matched with items on IDEAS)

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