Decentralized Adaptive Path Selection for Multi-Agent Conflict Minimization

Consider multiple robots moving towards individual goals in a cluttered environment. While contacts between robots in these situations can be averted by reactive collision avoidance methods, deadlocks may arise in tight spaces if robots move along precomputed, conflicting paths. To resolve these issues, methods have been proposed which consider robots that employ communication, or centralized planning, or follow predefined rules. This work considers only decentralized planning solutions that employ minimum information, i.e., each robot has access only to the current position of its neighbors, without using any form of prediction, intent recognition or agent modeling. This leads to a study of several methods for minimum-conflict path selection among dynamic obstacles. The evaluation of these methods in varying simulated benchmarks, provides the following insights: (a) considering the “minimumconflict” path given the other agents’ current positions is critical for deadlock avoidance, (b) reasoning over a diverse set of paths that provide multiple alternatives improves path quality, and (c) accumulating cost over alternative paths by finding the agent’s best path selection in hindsight allows robots to learn effective highlevel strategies in a computationally efficient way that is adaptive to the other agents’ behavior, reducing task completion time and average path lengths. 1

[1]  Manfred K. Warmuth,et al.  The weighted majority algorithm , 1989, 30th Annual Symposium on Foundations of Computer Science.

[2]  Rachid Alami,et al.  How to solve deadlock situations within the plan-merging paradigm for multi-robot cooperation , 1997, Proceedings of the 1997 IEEE/RSJ International Conference on Intelligent Robot and Systems. Innovative Robotics for Real-World Applications. IROS '97.

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

[4]  Satoshi Kagami,et al.  A probabilistic model of human motion and navigation intent for mobile robot path planning , 2000, 2009 4th International Conference on Autonomous Robots and Agents.

[5]  F. Large,et al.  Avoiding cars and pedestrians using velocity obstacles and motion prediction , 2004, IEEE Intelligent Vehicles Symposium, 2004.

[6]  Nicholas R. Jennings,et al.  The Dynamic Selection of Coordination Mechanisms , 2004, Autonomous Agents and Multi-Agent Systems.

[7]  Wolfram Burgard,et al.  Learning Motion Patterns of People for Compliant Robot Motion , 2005, Int. J. Robotics Res..

[8]  Thierry Fraichard,et al.  Partial motion planning framework for reactive planning within dynamic environments , 2005, ICINCO.

[9]  Thierry Siméon,et al.  Path Deformation Roadmaps , 2006, WAFR.

[10]  Alonzo Kelly,et al.  Toward Optimal Sampling in the Space of Paths , 2007, ISRR.

[11]  Rachid Alami,et al.  A Human Aware Mobile Robot Motion Planner , 2007, IEEE Transactions on Robotics.

[12]  Dinesh Manocha,et al.  Reciprocal Velocity Obstacles for real-time multi-agent navigation , 2008, 2008 IEEE International Conference on Robotics and Automation.

[13]  Brian F. Goldiez,et al.  Human-aware robot motion planning with velocity constraints , 2008, 2008 International Symposium on Collaborative Technologies and Systems.

[14]  Thierry Fraichard,et al.  Navigating Dynamic Environments with Trajectory Deformation , 2009, J. Comput. Inf. Technol..

[15]  Siddhartha S. Srinivasa,et al.  Planning-based prediction for pedestrians , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  Mark H. Overmars,et al.  Indicative routes for path planning and crowd simulation , 2009, FDG.

[17]  Ross A. Knepper,et al.  Path diversity is only part of the problem , 2009, 2009 IEEE International Conference on Robotics and Automation.

[18]  Peter Stone,et al.  Leading a Best-Response Teammate in an Ad Hoc Team , 2009, AMEC/TADA.

[19]  Andreas Krause,et al.  Unfreezing the robot: Navigation in dense, interacting crowds , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[20]  Kris K. Hauser Adaptive Time Stepping in Real-Time Motion Planning , 2010, WAFR.

[21]  Sarit Kraus,et al.  Adaptive multi-robot coordination: A game-theoretic perspective , 2010, 2010 IEEE International Conference on Robotics and Automation.

[22]  Tim Roughgarden,et al.  Algorithmic Game Theory , 2007 .

[23]  Subhrajit Bhattacharya,et al.  Search-Based Path Planning with Homotopy Class Constraints in 3D , 2010, AAAI.

[24]  Jean-François Raskin,et al.  Iterated Regret Minimization in Game Graphs , 2010, MFCS.

[25]  Christian Vollmer,et al.  Learning to navigate through crowded environments , 2010, 2010 IEEE International Conference on Robotics and Automation.

[26]  Dinesh Manocha,et al.  Reciprocal collision avoidance with acceleration-velocity obstacles , 2011, 2011 IEEE International Conference on Robotics and Automation.

[27]  Dinesh Manocha,et al.  The Hybrid Reciprocal Velocity Obstacle , 2011, IEEE Transactions on Robotics.

[28]  Michael L. Littman,et al.  Using iterated reasoning to predict opponent strategies , 2011, AAMAS.

[29]  Emilio Frazzoli,et al.  Sampling-based algorithms for optimal motion planning , 2011, Int. J. Robotics Res..

[30]  Kostas E. Bekris,et al.  Safe distributed motion coordination for second-order systems with different planning cycles , 2012, Int. J. Robotics Res..

[31]  P. Abbeel,et al.  Identification and Representation of Homotopy Classes of Trajectories for Search-Based Path Planning in 3D , 2012 .

[32]  Ross A. Knepper,et al.  Pedestrian-inspired sampling-based multi-robot collision avoidance , 2012, 2012 IEEE RO-MAN: The 21st IEEE International Symposium on Robot and Human Interactive Communication.

[33]  Kris K. Hauser,et al.  Minimum Constraint Displacement Motion Planning , 2013, Robotics: Science and Systems.

[34]  Ross A. Knepper,et al.  On the completeness of ensembles of motion planners for decentralized planning , 2013, 2013 IEEE International Conference on Robotics and Automation.

[35]  R. Ho Algebraic Topology , 2022 .