Skip to main content

Game Theory Based Solver for Dynamic Vehicle Routing Problem

  • Conference paper
  • First Online:
The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2019) (AMLTA 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 921))

Abstract

In recent decades, research concern in vehicle routing has progressively more concentrated on dynamic and stochastic approaches in solving sophisticated dynamic vehicle routing problems (DVRP) due to its importance in helping potential customers to better manage their applications and to provide e-freight and e-commerce systems similarly. Many techniques were introduced in the DVRP field to solve part of its challenges since it’s hard to achieve equilibrium between finding feasible set of tours, minimum total travel time, shortest routing path and the capability of redirect a stirring vehicle to a new demand for additional savings; due to the fact that each one can be achieved at the expense of the other and combining them does not give an ideal result which requires a solution to track the optimum route during changes. In this paper, the game theory (GT) is integrated with Ant Colony Optimization algorithms (ACO) to adjust the attractiveness of arc and the pheromone level as it considers them competing players that prefer one according to the expected payoff. In addition, GT can be adapted inside the algorithm to facilitate the optimization, as it is considered a powerful technique in decision making and to find optimal solutions to conditions of conflict and cooperation. Experimental results show that the integration of GT with ACO algorithm improves the system performance in tackling DVRPs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Pillac, V., Gendreau, M., Guéret, C., Medaglia, A.: A review of dynamic vehicle routing problems. Eur. J. Oper. Res. 225(1), 1–11 (2013)

    MathSciNet  MATH  Google Scholar 

  2. Schyns, M.: An ant colony system for responsive dynamic vehicle routing. Eur. J. Oper. Res. 245(3), 704–718 (2015)

    MathSciNet  MATH  Google Scholar 

  3. Créput, J.C., Hajjam, A., Koukam, A., Kuhn, O.: Self-organizing maps in population based metaheuristic to the dynamic vehicle routing problem. J. Comb. Optim. 24(4), 437–458 (2012)

    MathSciNet  MATH  Google Scholar 

  4. Montemanni, R., Gambardella, L., Rizzoli, A., Donati, A.: Ant colony system for a dynamic vehicle routing problem. J. Comb. Optim. 10(4), 327–343 (2005)

    MathSciNet  MATH  Google Scholar 

  5. Ferrucci, F., Bock, S., Gendreau, M.: A pro-active real-time control approach for dynamic vehicle routing problems dealing with the delivery of urgent goods. Eur. J. Oper. Res. 225(1), 130–141 (2013)

    Google Scholar 

  6. Yu, B., Ma, N., Cai, W., Li, T., Yuan, X., Yao, B.: Improved ant colony optimisation for the dynamic multi-depot vehicle routing problem. Int. J. Logist. Res. Appl. 16(2), 144–157 (2013)

    Google Scholar 

  7. Mendoza, J., Castanier, B., Guéret, C., Medaglia, A., Velasco, N.: A memetic algorithm for the multi-compartment vehicle routing problem with stochastic demands. Comput. Oper. Res. 37(11), 1886–1898 (2010)

    MathSciNet  MATH  Google Scholar 

  8. Gromicho, J., van Hoorn, J., Kok, A., Schutten, J.: Restricted dynamic programming: a flexible framework for solving realistic VRPs. Comput. Oper. Res. 39(5), 902–909 (2012)

    MathSciNet  MATH  Google Scholar 

  9. Psaraftis, H., Wen, M., Kontovas, C.: Dynamic vehicle routing problems: three decades and counting. Netw. Int. J. 67(1), 3–31 (2016)

    MathSciNet  Google Scholar 

  10. Razavi, M., Eshlaghy, A.: Using an ant colony approach for solving capacitated vehicle routing problem with time windows. Res. J. Recent Sci. 4(2), 2277–2502 (2015)

    Google Scholar 

  11. Pamucar, D., Ćirović, G.: Vehicle route selection with an adaptive neuro fuzzy inference system in uncertainty conditions. Decision Mak.: Appl. Manag. Eng. 1(1), 13–37 (2018)

    Google Scholar 

  12. Xu, H., Duan, F., Pu, P.: Solving dynamic vehicle routing problem using enhanced genetic algorithm with penalty factors. Int. J. Perform. Eng. 14(4), 611–620 (2018)

    Google Scholar 

  13. Ghannadpour, S., Noori, S., Tavakkoli-Moghaddam, R., Ghoseiri, K.: A multi-objective dynamic vehicle routing problem with fuzzy time windows: model, solution and application. Appl. Soft Comput. 14(18), 504–527 (2014)

    Google Scholar 

  14. Ng, K., Lee, C., Zhang, S.Z., Wu, K., Ho, W.: Multiple colonies artificial bee colony algorithm for a capacitated vehicle routing problem and re-routing strategies under time-dependent traffic congestion. Comput. Ind. Eng. 109(13), 151–168 (2017)

    Google Scholar 

  15. Okulewicz, M., Mańdziuk, J.: Application of particle swarm optimization algorithm to dynamic vehicle routing problem. In: International Proceedings on Proceedings of Artificial Intelligence and Soft Computing, pp. 547–558. Springer, Berlin (2013)

    Google Scholar 

  16. Kuo, R., Wibowo, B., Zulvia, F.: Application of a fuzzy ant colony system to solve the dynamic vehicle routing problem with uncertain service time. Appl. Math. Model. 40(23–24), 9990–10001 (2016)

    MathSciNet  Google Scholar 

  17. Yang, Z., Emmerich, M., Bäck, T.: Ant based solver for dynamic vehicle routing problem with time windows and multiple priorities. In: Proceedings of Conference on Evolutionary Computation, pp. 2813–2819. IEEE, Japan (2015)

    Google Scholar 

  18. Ouaddi, K., Benadada, Y., Mhada, F.: Multi period dynamic vehicles routing problem: literature review, modelization and resolution. In: 3rd International Proceedings on Proceedings of Logistics Operations Management, pp. 1–8. IEEE, Morocco (2016)

    Google Scholar 

  19. Mavrovouniotis, M., Yang, S.: Ant algorithms with immigrants schemes for the dynamic vehicle routing problem. Inf. Sci. 294(32), 456–477 (2015)

    MathSciNet  Google Scholar 

  20. Elhassania, M., Ahmed, E., Jaouad, B.: Application of an ant colony system to optimize the total distance and the customers response time for the real time vehicle routing problem. In: 3rd International Proceedings on Proceedings of Logistics Operations Management, pp. 1–6. IEEE, Morocco (2016)

    Google Scholar 

  21. Shah, I., Jan, S., Khan, I., Qamar, S.: An overview of game theory and its applications in communication networks. Int. J. Multi. Sci. Eng. 3(4), 5–11 (2012)

    Google Scholar 

  22. Leyton-Brown, K., Shoham, Y.: Essentials of game theory: a concise multidisciplinary introduction. Synth. Lect. Artif. Intell. Mach. Learn. 2(1), 1–88 (2008)

    MATH  Google Scholar 

  23. Banjanovic-Mehmedovic, L., Halilovic, E., Bosankic, I., Kantardzic, M., Kasapovic, S.: Autonomous vehicle-to-vehicle decision making in roundabout using game theory. Int. J. Comput. Sci. Appl. 7(8), 292–298 (2016)

    Google Scholar 

  24. Gattami, A., Al Alam, A., Johansson, K., Tomlin, C.: Establishing safety for heavy duty vehicle platooning: a game theoretical approach. In: 18th International Proceedings on Proceedings of Automatic Control, vol. 44, no. 1, pp. 3818–3823. Elsevier, Italy (2011)

    Google Scholar 

  25. Inujima, W., Nakano, K., Hosokawa, S.: Multi-robot coordination using switching of methods for deriving equilibrium in game theory. Trans. Comput. Inf. Technol. 8(2), 174–181 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bassem E. Abdel-Samee .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Darwish, S.M., Abdel-Samee, B.E. (2020). Game Theory Based Solver for Dynamic Vehicle Routing Problem. In: Hassanien, A., Azar, A., Gaber, T., Bhatnagar, R., F. Tolba, M. (eds) The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2019). AMLTA 2019. Advances in Intelligent Systems and Computing, vol 921. Springer, Cham. https://doi.org/10.1007/978-3-030-14118-9_14

Download citation

Publish with us

Policies and ethics