Reciprocal Velocity Obstacles for real-time multi-agent navigation

In this paper, we propose a new concept - the "Reciprocal Velocity Obstacle"- for real-time multi-agent navigation. We consider the case in which each agent navigates independently without explicit communication with other agents. Our formulation is an extension of the Velocity Obstacle concept [3], which was introduced for navigation among (passively) moving obstacles. Our approach takes into account the reactive behavior of the other agents by implicitly assuming that the other agents make a similar collision-avoidance reasoning. We show that this method guarantees safe and oscillation- free motions for each of the agents. We apply our concept to navigation of hundreds of agents in densely populated environments containing both static and moving obstacles, and we show that real-time and scalable performance is achieved in such challenging scenarios.

[1]  Paolo Fiorini,et al.  Motion Planning in Dynamic Environments Using Velocity Obstacles , 1998, Int. J. Robotics Res..

[2]  Jing Xiao,et al.  Real-Time Adaptive Motion Planning (RAMP) of Mobile Manipulators in Dynamic Environments With Unforeseen Changes , 2008, IEEE Transactions on Robotics.

[3]  Thierry Siméon,et al.  A PRM-based motion planner for dynamically changing environments , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[4]  Jean-Claude Latombe,et al.  Randomized Kinodynamic Motion Planning with Moving Obstacles , 2002, Int. J. Robotics Res..

[5]  Yi Li,et al.  Motion Planning of Multiple Agents in Virtual Environments on Parallel Architectures , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[6]  Christian Laugier,et al.  Dynamic Obstacle Avoidance in uncertain environment combining PVOs and Occupancy Grid , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[7]  John Vannoy.  Real-time Planning of Mobile Manipulation in Dynamic Environments of Unknown Changes , 2006 .

[8]  Mark H. Overmars,et al.  Coordinated path planning for multiple robots , 1998, Robotics Auton. Syst..

[9]  Dinesh Manocha,et al.  Interactive navigation of multiple agents in crowded environments , 2008, I3D '08.

[10]  Erwin Prassler,et al.  Reflective navigation: individual behaviors and group behaviors , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[11]  Dinesh Manocha,et al.  Real-time Path Planning for Virtual Agents in Dynamic Environments , 2007, VR.

[12]  Jean-Claude Latombe,et al.  Using a PRM planner to compare centralized and decoupled planning for multi-robot systems , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[13]  Jur P. van den Berg,et al.  Anytime path planning and replanning in dynamic environments , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[14]  Steven M. LaValle,et al.  Optimal motion planning for multiple robots having independent goals , 1998, IEEE Trans. Robotics Autom..

[15]  Takashi Chikayama,et al.  Simulating the Collision Avoidance Behavior of Pedestrians , 2000 .

[16]  Thierry Fraichard,et al.  Safe motion planning in dynamic environments , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[17]  Dinesh Manocha,et al.  Reactive deformation roadmaps: motion planning of multiple robots in dynamic environments , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[18]  Adrien Treuille,et al.  Continuum crowds , 2006, SIGGRAPH 2006.

[19]  Zvi Shiller,et al.  Motion planning in dynamic environments: obstacles moving along arbitrary trajectories , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[20]  J. P. van den Berg.  Path planning in dynamic environments , 2007 .

[21]  Stéphane Donikian,et al.  Crowd of Virtual Humans: a New Approach for Real Time Navigation in Complex and Structured Environments , 2004, Comput. Graph. Forum.

[22]  Daniel Thalmann,et al.  Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/cav.147 , 2022 .

[23]  Wolfram Burgard,et al.  The dynamic window approach to collision avoidance , 1997, IEEE Robotics Autom. Mag..

[24]  James J. Kuffner,et al.  Multipartite RRTs for Rapid Replanning in Dynamic Environments , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[25]  Yasuaki Abe,et al.  Collision avoidance method for multiple autonomous mobile agents by implicit cooperation , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).