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Worm Optimization for the Traveling Salesman Problem

In: Heuristics, Metaheuristics and Approximate Methods in Planning and Scheduling

Author

Listed:
  • Jean-Paul Arnaout

    (Gulf University for Science and Technology)

Abstract

In this research, a new metaheuristic called Worm Optimization (WO) is proposed, based on the foraging behaviors of Caenorhabditis elegans (Worms). In particular, the algorithm will mimic the behaviors of worms including finding food, avoiding toxins, interchanging between solitary and social foraging styles, alternating between food exploiting and seeking, and entering a stasis stage. WO effectiveness is illustrated on the traveling salesman problem (TSP), a known NP-hard problem, and compared to well-known naturally inspired algorithms using existing TSP data. The computational results reflected the superiority of WO in all tested problems. Furthermore, this superiority improved as problem sizes increased, and WO attained the global optimal solution in all tested problems within a reasonable computational time.

Suggested Citation

  • Jean-Paul Arnaout, 2016. "Worm Optimization for the Traveling Salesman Problem," International Series in Operations Research & Management Science, in: Ghaith Rabadi (ed.), Heuristics, Metaheuristics and Approximate Methods in Planning and Scheduling, edition 1, chapter 0, pages 209-224, Springer.
  • Handle: RePEc:spr:isochp:978-3-319-26024-2_11
    DOI: 10.1007/978-3-319-26024-2_11
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    Citations

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    Cited by:

    1. Jean-Paul Arnaout, 2020. "A worm optimization algorithm to minimize the makespan on unrelated parallel machines with sequence-dependent setup times," Annals of Operations Research, Springer, vol. 285(1), pages 273-293, February.
    2. Jean-Paul Arnaout, 2018. "Worm optimization for the multiple level warehouse layout problem," Annals of Operations Research, Springer, vol. 269(1), pages 29-51, October.
    3. Jean-Paul Arnaout & John Khoury, 2022. "Adaptation of WO to the Euclidean location-allocation with unknown number of facilities," Annals of Operations Research, Springer, vol. 315(1), pages 57-72, August.

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