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Dynamic region visit routing problem for vehicles with minimum turning radius

Author

Listed:
  • Douglas G. Macharet

    (Universidade Federal de Minas Gerais)

  • Armando Alves Neto

    (Universidade Federal de Minas Gerais)

  • Vila F. Camara Neto

    (Fundação Centro de Análise, Pesquisa e Inovação Tecnológica)

  • Mario F. M. Campos

    (Universidade Federal de Minas Gerais)

Abstract

In this paper we address the problem of planning optimized routes among dynamically selected target regions for vehicles with a turning radius motion constraint, hereinafter called dynamic Dubins traveling salesman problem with neighborhoods (DDTSPN). Initially, we present a heuristic to solve a simpler version of this problem, called off-line step, where only previously given targets are concerned. We further extend this approach for the more complex case of dynamic scenarios, called on-line step, addressing the inclusion of new targets during the execution of the initial route, whilst minimizing the impact on the total traveled distance. Formal analyzes of our techniques are provided, presenting upper bounds for the total length of the final tour. Results with statistical investigation over a large number of trials in a simulated environment are also provided. Finally, to demonstrate the applicability of our technique in solving the DDTSPN at real-world scenarios, we also report on results of an experiment performed with a real car-like robot.

Suggested Citation

  • Douglas G. Macharet & Armando Alves Neto & Vila F. Camara Neto & Mario F. M. Campos, 2018. "Dynamic region visit routing problem for vehicles with minimum turning radius," Journal of Heuristics, Springer, vol. 24(1), pages 83-109, February.
  • Handle: RePEc:spr:joheur:v:24:y:2018:i:1:d:10.1007_s10732-017-9359-4
    DOI: 10.1007/s10732-017-9359-4
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    References listed on IDEAS

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    1. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    2. Dimitris J. Bertsimas & Garrett van Ryzin, 1991. "A Stochastic and Dynamic Vehicle Routing Problem in the Euclidean Plane," Operations Research, INFORMS, vol. 39(4), pages 601-615, August.
    3. Bertsimas, Dimitris & Van Ryzin, Garrett., 1991. "A stochastic and dynamic vehicle routing problem in the Euclidean plane," Working papers 3286-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Patrick Jaillet & Michael R. Wagner, 2006. "Online Routing Problems: Value of Advanced Information as Improved Competitive Ratios," Transportation Science, INFORMS, vol. 40(2), pages 200-210, May.
    5. Bertsimas, Dimitris & Chervi, Philippe. & Peterson, Michael., 1991. "Computational approaches to stochastic vehicle routing problems," Working papers 3285-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    6. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    7. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    8. Nicos Christofides, 1972. "Technical Note—Bounds for the Travelling-Salesman Problem," Operations Research, INFORMS, vol. 20(5), pages 1044-1056, October.
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