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A Multi-objective Metaheuristic for a Green UAV Grid Routing Problem

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Variable Neighborhood Search (ICVNS 2019)

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Abstract

This paper deals with Unmanned Aerial Vehicle (UAV) routing in dynamic grid scenarios with limited battery autonomy and multiple charging stations. The problem is inspired by real-world constraints, specially designed for overcoming challenges of a limited vehicle driving range. Recently, these kinds of vehicles have started to be used for delivering and collecting products, requiring experts in several knowledge fields to manage this novel logistics. Inspired by a multi-criteria view of real systems, we consider different objective functions introduced in the literature. A multi-objective variant of Variable Neighborhood Search is considered for finding a set of non-dominated solutions, while respecting the navigation over forbidden areas and also battery capacity. A case of study was developed where one UAV has to attend clients spread throughout a grid representing a map. The drone starts in a given grid point with a given battery charge, where the grid is composed by four different kinds of points: a regular one and three special (prohibited, recharge and client delivery). Any sequence of valid adjacent points forms a route, but since this yields a huge number of combinations, a pre-processing technique is proposed to pre-compute distances in a given dynamic scenario. Computational results demonstrate the performance of different variants of the proposed algorithm.

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Notes

  1. 1.

    The current work considers that the dynamic data is passed as input, so that no changes need to be performed during the search. As instances already consider arbitrary drone initial location and capacity (battery load), a time-dependent variant can be considered as an extension of this work (see Sect. 5).

References

  1. Adabo, G.J.: Long range unmanned aircraft system for power line inspection of Brazilian electrical system. J. Energy Power Eng. 8(2), 394–398 (2014)

    Google Scholar 

  2. Agatz, N., Bouman, P., Schmidt, M.: Optimization approaches for the traveling salesman problem with drone. Transp. Sci. 52(4), 965–981 (2018)

    Article  Google Scholar 

  3. Coelho, B.N., et al.: A multi-objective green UAV routing problem. Comput. Oper. Res. 88, 306–315 (2017)

    Article  MathSciNet  Google Scholar 

  4. Coelho, V.N., Grasas, A., Ramalhinho, H., Coelho, I.M., Souza, M.J., Cruz, R.C.: An ILS-based algorithm to solve a large-scale real heterogeneous fleet VRP with multi-trips and docking constraints. Eur. J. Oper. Res. 250(2), 367–376 (2016)

    Article  MathSciNet  Google Scholar 

  5. Deng, C., Wang, S., Huang, Z., Tan, Z., Liu, J.: Unmanned aerial vehicles for power line inspection: a cooperative way in platforms and communications. J. Commun. 9(9), 687–692 (2014)

    Article  Google Scholar 

  6. Duarte, A., Pantrigo, J.J., Pardo, E.G., Mladenovic, N.: Multi-objective variable neighborhood search: an application to combinatorial optimization problems. J. Glob. Optim. 63(3), 515–536 (2014). https://doi.org/10.1007/s10898-014-0213-z

    Article  MathSciNet  MATH  Google Scholar 

  7. Erdoğan, S., Miller-Hooks, E.: A green vehicle routing problem. Transp. Res. Part E: Logist. Transp. Rev. 48(1), 100–114 (2012)

    Article  Google Scholar 

  8. Floreano, D., Wood, R.J.: Science, technology and the future of small autonomous drones. Nature 521(7553), 460 (2015)

    Article  Google Scholar 

  9. Fonseca, C.M., Paquete, L., López-Ibánez, M.: An improved dimension-sweep algorithm for the hypervolume indicator. In: 2006 IEEE International Conference on Evolutionary Computation, pp. 1157–1163. IEEE (2006)

    Google Scholar 

  10. Gutin, G., Punnen, A.P.: The Traveling Salesman Problem and Its Variations, vol. 12. Springer, Boston (2006). https://doi.org/10.1007/b101971

    Book  MATH  Google Scholar 

  11. Haala, N., Cramer, M., Weimer, F., Trittler, M.: Performance test on UAV-based photogrammetric data collection. Proc. Int. Arch. Photogram. Remote Sens. Spat. Inf. Sci. 38(1/C22), 7–12 (2011)

    Google Scholar 

  12. Harris, A., Sluss, J.J., Refai, H.H., LoPresti, P.G.: Alignment and tracking of a free-space optical communications link to a UAV. In: The 24th Digital Avionics Systems Conference, DASC 2005, vol. 1, pp. 1–C. IEEE (2005)

    Google Scholar 

  13. Irizarry, J., Gheisari, M., Walker, B.N.: Usability assessment of drone technology as safety inspection tools. J. Inf. Technol. Constr. (ITcon) 17(12), 194–212 (2012)

    Google Scholar 

  14. Laporte, G.: The vehicle routing problem: an overview of exact and approximate algorithms. Eur. J. Oper. Res. 59(3), 345–358 (1992)

    Article  MathSciNet  Google Scholar 

  15. Máthé, K., Buşoniu, L.: Vision and control for UAVs: a survey of general methods and of inexpensive platforms for infrastructure inspection. Sensors 15(7), 14887–14916 (2015)

    Article  Google Scholar 

  16. Metni, N., Hamel, T.: A UAV for bridge inspection: visual servoing control law with orientation limits. Autom. Constr. 17(1), 3–10 (2007)

    Article  Google Scholar 

  17. Mladenović, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24(11), 1097–1100 (1997)

    Article  MathSciNet  Google Scholar 

  18. Nigam, N., Kroo, I.: Persistent surveillance using multiple unmanned air vehicles. In: 2008 IEEE Aerospace Conference, pp. 1–14. IEEE (2008)

    Google Scholar 

  19. Resende, M.G.C., Ribeiro, C.C.: Greedy randomized adaptive search procedures: advances and extensions. In: Gendreau, M., Potvin, J.-Y. (eds.) Handbook of Metaheuristics. ISORMS, vol. 272, pp. 169–220. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91086-4_6

    Chapter  Google Scholar 

  20. Schermer, D., Moeini, M., Wendt, O.: A variable neighborhood search algorithm for solving the vehicle routing problem with drones. Technical report, Technische Universität Kaiserslautern (2018)

    Google Scholar 

  21. Talbi, E.G.: Metaheuristics: from Design to Implementation, vol. 74. Wiley, Hoboken (2009)

    Book  Google Scholar 

  22. Vansteenwegen, P., Souffriau, W., Sörensen, K.: The travelling salesperson problem with hotel selection. J. Oper. Res. Soc. 63(2), 207–217 (2012)

    Article  Google Scholar 

  23. Wang, X., Poikonen, S., Golden, B.: The vehicle routing problem with drones: several worst-case results. Optim. Lett. 11(4), 679–697 (2016). https://doi.org/10.1007/s11590-016-1035-3

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgment

Vitor N. Coelho would like to thank the Brazilian agency FAPERJ (E-26/202.868/2016). Luiz S. Ochi was supported by FAPERJ and CNPq (301593/2013-2), Igor M. Coelho and Elias L. Marques Jr. by FAPERJ. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior – Brasil (CAPES) - Finance Code 001.

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Correspondence to Elias L. Marques Jr. , Vitor N. Coelho , Igor M. Coelho , Bruno N. Coelho or Luiz S. Ochi .

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Marques, E.L., Coelho, V.N., Coelho, I.M., Coelho, B.N., Ochi, L.S. (2020). A Multi-objective Metaheuristic for a Green UAV Grid Routing Problem. In: Benmansour, R., Sifaleras, A., Mladenović, N. (eds) Variable Neighborhood Search. ICVNS 2019. Lecture Notes in Computer Science(), vol 12010. Springer, Cham. https://doi.org/10.1007/978-3-030-44932-2_11

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  • DOI: https://doi.org/10.1007/978-3-030-44932-2_11

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