Skip to main content
Erschienen in:
Buchtitelbild

2024 | OriginalPaper | Buchkapitel

Compute Optimal Waiting Times for Collaborative Route Planning

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Collaborative routing tries to discover paths of multiple robots that avoid mutual collisions while optimising a common cost function. A collision can be avoided in two ways: a robot modifies its route to pass another robot, or one robot waits for the other to move first. Recent work assigns priorities to robots or models waiting times as an ‘action’ similar to driving. However, these methods have certain disadvantages. This paper introduces a new approach that computes theoretically optimal waiting times for given multi-routes. If all collisions can be avoided through waiting, the algorithm computes optimal places and durations to wait. We used this approach as component to introduce a collaborative routing system capable of solving complex routing problems involving mutual blocking.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Geramifard, A., Chubak, P., Bulitko, V.: Biased cost pathfinding. In: Proceedings of the Second Artificial Intelligence and Interactive Digital Entertainment Conference, 20–23 June 2006, Marina del Rey, California (2006) Geramifard, A., Chubak, P., Bulitko, V.: Biased cost pathfinding. In: Proceedings of the Second Artificial Intelligence and Interactive Digital Entertainment Conference, 20–23 June 2006, Marina del Rey, California (2006)
2.
Zurück zum Zitat Silver, D.: Cooperative pathfinding. In: AIIDE’05: Proceedings of the First AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment, June 2005, pp. 117–122 (2005) Silver, D.: Cooperative pathfinding. In: AIIDE’05: Proceedings of the First AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment, June 2005, pp. 117–122 (2005)
3.
Zurück zum Zitat Wang, C.K.H., Botea, A.: MAPP: a scalable multi-agent path planning algorithm with tractability and completeness guarantees. J. Artif. Intell. Res. 42(1), 55–90 (2011)MathSciNet Wang, C.K.H., Botea, A.: MAPP: a scalable multi-agent path planning algorithm with tractability and completeness guarantees. J. Artif. Intell. Res. 42(1), 55–90 (2011)MathSciNet
4.
Zurück zum Zitat Standley, T.: Finding optimal solutions to cooperative pathfinding problems. In: AAAI’10: Proceedings of the Twenty-Fourth AAAI Conference on Artificial Intelligence, July 2010, pp. 173–178 (2010) Standley, T.: Finding optimal solutions to cooperative pathfinding problems. In: AAAI’10: Proceedings of the Twenty-Fourth AAAI Conference on Artificial Intelligence, July 2010, pp. 173–178 (2010)
5.
Zurück zum Zitat Standley, T., Korf, R.: Complete algorithms for cooperative pathfinding problems. In: IJCAI’11: Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume One, July 2011, pp. 668–673 (2011) Standley, T., Korf, R.: Complete algorithms for cooperative pathfinding problems. In: IJCAI’11: Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume One, July 2011, pp. 668–673 (2011)
6.
Zurück zum Zitat Sharon, G., Stern, R., Felner, A., Sturtevant, N.R.: Conflict-based search for optimal multi-agent pathfinding. Artif. Intell. 219, 40–66 (2015)MathSciNetCrossRef Sharon, G., Stern, R., Felner, A., Sturtevant, N.R.: Conflict-based search for optimal multi-agent pathfinding. Artif. Intell. 219, 40–66 (2015)MathSciNetCrossRef
7.
Zurück zum Zitat Svestka, P., Overmars, M.H.: Coordinated motion planning for multiple car-like robots using probabilistic roadmaps. Robot. Auton. Syst. 23(3), 125–152 (1998)CrossRef Svestka, P., Overmars, M.H.: Coordinated motion planning for multiple car-like robots using probabilistic roadmaps. Robot. Auton. Syst. 23(3), 125–152 (1998)CrossRef
8.
Zurück zum Zitat Li, J., Ran, M., Xie, L.: Efficient trajectory planning for multiple non-holonomic mobile robots via prioritized trajectory optimization. IEEE Robot. Autom. Lett. 6, 405–412 (2021)CrossRef Li, J., Ran, M., Xie, L.: Efficient trajectory planning for multiple non-holonomic mobile robots via prioritized trajectory optimization. IEEE Robot. Autom. Lett. 6, 405–412 (2021)CrossRef
9.
Zurück zum Zitat Bennewitz, M., Burgard, M., Thrun S.: Optimizing schedules for prioritized path planning of multi-robot systems. In: Proceedings - IEEE International Conference on Robotics and Automation (2001) Bennewitz, M., Burgard, M., Thrun S.: Optimizing schedules for prioritized path planning of multi-robot systems. In: Proceedings - IEEE International Conference on Robotics and Automation (2001)
10.
Zurück zum Zitat van den Berg, J., Snoeyink, J., Lin, M., Manocha, D.: Centralized path planning for multiple robots: optimal decoupling into sequential plans. In: Robotics: Science and Systems V, University of Washington, Seattle, USA (2009) van den Berg, J., Snoeyink, J., Lin, M., Manocha, D.: Centralized path planning for multiple robots: optimal decoupling into sequential plans. In: Robotics: Science and Systems V, University of Washington, Seattle, USA (2009)
11.
Zurück zum Zitat Cáp, M., Novák, P., Kleiner, A., Selecký, M.: Prioritized planning algorithms for trajectory coordination of multiple mobile robots. IEEE Trans. Autom. Sci. Eng. 12(3), 835–849 (2015)CrossRef Cáp, M., Novák, P., Kleiner, A., Selecký, M.: Prioritized planning algorithms for trajectory coordination of multiple mobile robots. IEEE Trans. Autom. Sci. Eng. 12(3), 835–849 (2015)CrossRef
12.
Zurück zum Zitat Cáp, M., Novák, P., Selecký, M., Faigl, J., Vokrínek, J.: Asynchronous decentralized prioritized planning for coordination in multi-robot system. In: 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 3–7 November 2013, Tokyo, Japan, pp. 3822–3829 Cáp, M., Novák, P., Selecký, M., Faigl, J., Vokrínek, J.: Asynchronous decentralized prioritized planning for coordination in multi-robot system. In: 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 3–7 November 2013, Tokyo, Japan, pp. 3822–3829
13.
Zurück zum Zitat Park, J., Kim, J., Jang, I., Kim, H.J.: Efficient multi-agent trajectory planning with feasibility guarantee using relative Bernstein polynomial. In: 2020 IEEE International Conference on Robotics and Automation (ICRA), IEEE, pp. 434–440 (2020) Park, J., Kim, J., Jang, I., Kim, H.J.: Efficient multi-agent trajectory planning with feasibility guarantee using relative Bernstein polynomial. In: 2020 IEEE International Conference on Robotics and Automation (ICRA), IEEE, pp. 434–440 (2020)
14.
Zurück zum Zitat Yu, J., Rus, D.: An effective algorithmic framework for near optimal multi-robot path planning. In: Proceedings International Symposium on Robotics Research (2015) Yu, J., Rus, D.: An effective algorithmic framework for near optimal multi-robot path planning. In: Proceedings International Symposium on Robotics Research (2015)
15.
Zurück zum Zitat Davies, T., Jnifene, A.: Path planning and trajectory control of collaborative mobile robots using hybrid control architecture. J. Syst. Cybern. Inform. (JSCI) 6(4), 42–48 (2008) Davies, T., Jnifene, A.: Path planning and trajectory control of collaborative mobile robots using hybrid control architecture. J. Syst. Cybern. Inform. (JSCI) 6(4), 42–48 (2008)
16.
Zurück zum Zitat Li, J., Ruml, W., Koenig, S.: EECBS: a bounded-suboptimal search for multi-agent path finding. In: Proceedings of the AAAI Conference on Artificial Intelligence (AAAI), pp. 12353–12362 (2021) Li, J., Ruml, W., Koenig, S.: EECBS: a bounded-suboptimal search for multi-agent path finding. In: Proceedings of the AAAI Conference on Artificial Intelligence (AAAI), pp. 12353–12362 (2021)
17.
Zurück zum Zitat Hart, P., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4(2), 100–107 (1968)CrossRef Hart, P., Nilsson, N., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4(2), 100–107 (1968)CrossRef
18.
Zurück zum Zitat Latombe, J.: Robot Motion Planning. Kluwer Academic Publishers, Boston (1991). ISBN 0-7923-9206-X Latombe, J.: Robot Motion Planning. Kluwer Academic Publishers, Boston (1991). ISBN 0-7923-9206-X
19.
Zurück zum Zitat Azarm, K., Schmidt, G.: A decentralized approach for the conflict-free motion of multiple mobile robots. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Osaka, Japan, pp. 1667–1674 (1996) Azarm, K., Schmidt, G.: A decentralized approach for the conflict-free motion of multiple mobile robots. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Osaka, Japan, pp. 1667–1674 (1996)
20.
Zurück zum Zitat LaValle, S.M.: Rapidly-exploring random trees: A new tool for path planning, TR 98-11, Computer Science Dept., Iowa State University, 1998, 98–11 LaValle, S.M.: Rapidly-exploring random trees: A new tool for path planning, TR 98-11, Computer Science Dept., Iowa State University, 1998, 98–11
Metadaten
Titel
Compute Optimal Waiting Times for Collaborative Route Planning
verfasst von
Jörg Roth
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-59057-3_1

Premium Partner