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Statistical Analysis of the Performance of the State-of-the-Art Methods for Solving TSP Variants

  • Boldizsár Tüű-SzabóEmail author
  • Péter Földesi
  • László T. Kóczy
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11909)

Abstract

In this paper we analyze the efficiency of the state-of-the-art methods for solving two TSP variants, the Traveling Salesman Problem with Time Windows and one-commodity Pickup-and-Delivery Traveling Salesman Problem. Three models (polynomial, exponential, square-root exponential) were fitted to the mean run times of each method. The parameters of the curves, the R2-values and the RMSE values were compared.

Keywords

Traveling Salesman Problem Time windows Pick up Delivery 

Notes

Acknowledgement

This work was supported by National Research, Development and Innovation Office (NKFIH) K108405, K124055. Open image in new window Supported by the ÚNKP-18-3 New National Excellence Program of the Ministry of Human Capacities.

References

  1. 1.
    Applegate, D.L., Bixby, R.E., Chvátal, V., Cook, W.J.: The Traveling Salesman Problem: A Computational Study, pp. 489–530. Princeton University Press, Princeton (2006)zbMATHGoogle Scholar
  2. 2.
    da Silva, R.F., Urrutia, S.: A General VNS heuristic for the traveling salesman problem with time windows. Discrete Optim. 7(4), 203–211 (2010)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Gendreau, M., Hertz, A., Laporte, G., Stan, M.: A generalized insertion heuristic for the traveling salesman problem with time windows. Oper. Res. 46(3), 330–335 (1998)CrossRefGoogle Scholar
  4. 4.
    Hernández-Pérez, H., Salazar-González, J.J.: Heuristics for the one-commodity pickup-and-delivery travelling salesman problem. Transp. Sci. 38, 245–255 (2004)CrossRefGoogle Scholar
  5. 5.
    Hernández-Pérez, H., Rodríguez-Martín, I., Salazar-González, J.J.: A hybrid GRASP/VND heuristic for the one-commodity pickup-and-delivery travelling salesman problem. Comput. Oper. Res. 36, 1639–1645 (2009)CrossRefGoogle Scholar
  6. 6.
    Hoos, H.H., Stützle, T.: On the empirical scaling of run-time for finding optimal solutions to the travelling salesman problem. Eur. J. Oper. Res. 238, 87–94 (2014)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Kóczy, L.T., Földesi, P., Tüű-Szabó, B.: Enhanced discrete bacterial memetic evolutionary algorithm-an efficacious metaheuristic for the traveling salesman optimization. Inf. Sci. 460, 389–400 (2017)MathSciNetGoogle Scholar
  8. 8.
    Mu, Z., Dubois-Lacoste, J., Hoos, H.H., Stützle, T.: On the empirical scaling of running time for finding optimal solutions to the TSP. J. Heuristics 24(6), 879–898 (2018)CrossRefGoogle Scholar
  9. 9.
    Mladenovic, N., Uroševic, D., Hanafi, S., Ilic, A.: A general variable neighborhood search for the one-commodity pickup-and-delivery travelling salesman problem. Eur. J. Oper. Res. 220, 270–285 (2012)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Ohlmann, J.W., Thomas, B.W.: A compressed-annealing heuristic for the traveling salesman problem with time windows. INFORMS J. Comput. 19(1), 80–90 (2007)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Tüű-Szabó, B., Földesi, P., Kóczy, L.T.: The discrete bacterial memetic evolutionary algorithm for solving the one-commodity pickup-and-delivery traveling salesman problem. In: Kóczy, L.T., Medina-Moreno, J., Ramírez-Poussa, E., Šostak, A. (eds.) Computational Intelligence and Mathematics for Tackling Complex Problems. SCI, vol. 819, pp. 15–22. Springer, Cham (2020).  https://doi.org/10.1007/978-3-030-16024-1_3CrossRefGoogle Scholar
  12. 12.
    Tüű-Szabó, B., Földesi, P., Kóczy, L.T.: Analyzing the performance of TSP solver methods. In: ESCIM 2019, Toledo, Spain (2019)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Information TechnologySzéchenyi István UniversityGyőrHungary
  2. 2.Department of LogisticsSzéchenyi István UniversityGyőrHungary
  3. 3.Department of Telecommunications and Media InformaticsBudapest University of Technology and EconomicsBudapestHungary

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