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Diversified local search strategy under scatter search framework for the probabilistic traveling salesman problem

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  • Liu, Yu-Hsin
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    This paper focuses on introducing a concept of diversified local search strategy under the scatter search framework for the probabilistic traveling salesman problem (PTSP). Different combinations of three commonly used local search methods in the PTSP, i.e., 1-shift, 2-opt, and 3-opt, were used to investigate its effects. A set of numerical experiments were conducted to test the validity of the proposed strategy based on randomly generated test instances. The numerical results and the permutation test showed that the diversified local search strategy, especially by combining 1-shift and 2-opt algorithms, can most effectively solve the homogeneous and heterogeneous PTSP in most of the tested instances in comparison with the single local search strategy under scatter search framework.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 191 (2008)
    Issue (Month): 2 (December)
    Pages: 332-346

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    Handle: RePEc:eee:ejores:v:191:y:2008:i:2:p:332-346
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    1. Bianchi, Leonora & Campbell, Ann Melissa, 2007. "Extension of the 2-p-opt and 1-shift algorithms to the heterogeneous probabilistic traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 131-144, January.
    2. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    3. Bianchi, Leonora & Knowles, Joshua & Bowler, Neill, 2005. "Local search for the probabilistic traveling salesman problem: Correction to the 2-p-opt and 1-shift algorithms," European Journal of Operational Research, Elsevier, vol. 162(1), pages 206-219, April.
    4. Gendron, Bernard & Potvin, Jean-Yves & Soriano, Patrick, 2002. "Diversification strategies in local search for a nonbifurcated network loading problem," European Journal of Operational Research, Elsevier, vol. 142(2), pages 231-241, October.
    5. John J. Bartholdi, III & Loren K. Platzman, 1988. "Heuristics Based on Spacefilling Curves for Combinatorial Problems in Euclidean Space," Management Science, INFORMS, vol. 34(3), pages 291-305, March.
    6. Bertsimas, Dimitris & Howell, Louis H., 1993. "Further results on the probabilistic traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 65(1), pages 68-95, February.
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