Document Open Access Logo

Fleet Management for Autonomous Vehicles Using Multicommodity Coupled Flows in Time-Expanded Networks

Authors Sahar Bsaybes, Alain Quilliot, Annegret K. Wagler



PDF
Thumbnail PDF

File

LIPIcs.SEA.2018.25.pdf
  • Filesize: 460 kB
  • 14 pages

Document Identifiers

Author Details

Sahar Bsaybes
  • Université Grenoble Alpes , Institute of Engineering (Grenoble INP), G-SCOP F-38000 Grenoble, France
Alain Quilliot
  • Université Clermont Auvergne , Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS), BP 10125, 63173 Aubière Cedex, France
Annegret K. Wagler
  • Université Clermont Auvergne , Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS), BP 10125, 63173 Aubière Cedex, France

Cite AsGet BibTex

Sahar Bsaybes, Alain Quilliot, and Annegret K. Wagler. Fleet Management for Autonomous Vehicles Using Multicommodity Coupled Flows in Time-Expanded Networks. In 17th International Symposium on Experimental Algorithms (SEA 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 103, pp. 25:1-25:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.SEA.2018.25

Abstract

VIPAFLEET is a framework to develop models and algorithms for managing a fleet of Individual Public Autonomous Vehicles (VIPA). We consider a homogeneous fleet of such vehicles distributed at specified stations in a closed site to supply internal transportation, where the vehicles can be used in different modes of circulation (tram mode, elevator mode, taxi mode). We treat in this paper a variant of the Online Pickup-and-Delivery Problem related to the taxi mode by means of multicommodity coupled flows in a time-expanded network and propose a corresponding integer linear programming formulation. This enables us to compute optimal offline solutions. However, to apply the well-known meta-strategy Replan to the online situation by solving a sequence of offline subproblems, the computation times turned out to be too long, so that we devise a heuristic approach h-Replan based on the flow formulation. Finally, we evaluate the performance of h-Replan in comparison with the optimal offline solution, both in terms of competitive analysis and computational experiments, showing that h-Replan computes reasonable solutions, so that it suits for the online situation.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Discrete mathematics
Keywords
  • fleet management
  • offline and online pickup and delivery problem
  • multicommodity flows

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads

References

  1. Easymile, 2015. URL: http://www.easymile.com.
  2. Ligier group, 2015. URL: http://www.ligier.fr.
  3. Viaméca, 2015. URL: http://www.viameca.fr/.
  4. Norbert Ascheuer, Sven O Krumke, and Jörg Rambau. The online transportation problem: competitive scheduling of elevators. ZIB, 1998. Google Scholar
  5. Norbert Ascheuer, Sven O Krumke, and Jörg Rambau. Online dial-a-ride problems: Minimizing the completion time. In STACS 2000, pages 639-650. Springer, 2000. Google Scholar
  6. Giorgio Ausiello, Esteban Feuerstein, Stefano Leonardi, Leen Stougie, and Maurizio Talamo. Competitive algorithms for the on-line traveling salesman. In Workshop on Algorithms and Data Structures, pages 206-217. Springer, 1995. Google Scholar
  7. Giorgio Ausiello, Esteban Feuerstein, Stefano Leonardi, Leen Stougie, and Maurizio Talamo. Algorithms for the on-line travelling salesman 1. Algorithmica, 29(4):560-581, 2001. Google Scholar
  8. Gerardo Berbeglia, Jean-François Cordeau, and Gilbert Laporte. Dynamic pickup and delivery problems. European journal of operational research, 202(1):8-15, 2010. Google Scholar
  9. Sahar Bsaybes. Modèles et algorithmes de gestion de flottes de véhicules VIPA. PhD thesis, Université Clermont Auvergne, 2017. Google Scholar
  10. Sahar Bsaybes, Alain Quilliot, and Annegret K Wagler. Fleet management for autonomous vehicles using flows in time-expanded networks. Electronic Notes in Discrete Mathematics, 62:255-260, 2017. Google Scholar
  11. Sahar Bsaybes, Alain Quilliot, and Annegret K Wagler. Fleet management for autonomous vehicles: Online PDP under special constraints. to appear on RAIRO - Operations Research, 2018. Google Scholar
  12. Sahar Bsaybes, Alain Quilliot, and Annegret K Wagler. Fleet management for autonomous vehicles using flows in time-expanded networks. to appear on Journal of Advanced Transportation, 2018. Google Scholar
  13. Jean-François Cordeau and Gilbert Laporte. The dial-a-ride problem: models and algorithms. Annals of Operations Research, 153(1):29-46, 2007. Google Scholar
  14. Samuel Deleplanque and Alain Quilliot. Transfers in the on-demand transportation: the DARPT Dial-a-Ride Problem with transfers allowed. In Multidisciplinary International Scheduling Conference: Theory and Applications (MISTA), pages 185-205, 2013. Google Scholar
  15. Anke Fabri and Peter Recht. Online dial-a-ride problem with time windows: an exact algorithm using status vectors. In Operations Research Proceedings 2006, pages 445-450. Springer, 2007. Google Scholar
  16. Lester R Ford Jr and Delbert Ray Fulkerson. Constructing maximal dynamic flows from static flows. Operations research, 6(3):419-433, 1958. Google Scholar
  17. Martin Groß and Martin Skutella. Generalized maximum flows over time. In International Workshop on Approximation and Online Algorithms, pages 247-260. Springer, 2011. Google Scholar
  18. Martin Grötschel, Sven O Krumke, Jörg Rambau, Thomas Winter, and Uwe T Zimmermann. Combinatorial online optimization in real time. In Online optimization of large scale systems, pages 679-704. Springer, 2001. Google Scholar
  19. Ronald Koch, Ebrahim Nasrabadi, and Martin Skutella. Continuous and discrete flows over time. Mathematical Methods of Operations Research, 73(3):301, 2011. Google Scholar
  20. Jan Karel Lenstra and AHG Kan. Complexity of vehicle routing and scheduling problems. Networks, 11(2):221-227, 1981. Google Scholar
  21. E Royer, F Marmoiton, S Alizon, D Ramadasan, M Slade, A Nizard, M Dhome, B Thuilot, and F Bonjean. Retour d’expérience après plus de 1000 km en navette sans conducteur guidée par vision. Google Scholar
  22. Eric Royer, Jonathan Bom, Michel Dhome, Benoit Thuilot, Maxime Lhuillier, and François Marmoiton. Outdoor autonomous navigation using monocular vision. In Intelligent Robots and Systems, 2005.(IROS 2005). 2005 IEEE/RSJ International Conference on, pages 1253-1258. IEEE, 2005. Google Scholar
  23. Jian Yang, Patrick Jaillet, and Hani Mahmassani. Real-time multivehicle truckload pickup and delivery problems. Transportation Science, 38(2):135-148, 2004. Google Scholar
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail