Cooperative multi-robot path planning using differential evolution

This paper provides an alternative approach to the co-operative multi-robot path planning problem using parallel differential evolution algorithms. Both centralized and distributed realizations for multi-robot path planning have been studied, and the performances of the methods have been compared with respect to a few pre-defined yardsticks. The distributed approach to this problem out-performs its centralized version for multi-robot planning. Relative performance of the distributed version of the differential evolution algorithm has been studied with varying numbers of robots and obstacles. The distributed version of the algorithm is also compared with a PSO-based realization, and the results are competitive.

[1]  Mark H. Overmars,et al.  Prioritized motion planning for multiple robots , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

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

[3]  Zixing Cai,et al.  Cooperative Coevolutionary Adaptive Genetic Algorithm in Path Planning of Cooperative Multi-Mobile Robot Systems , 2002, J. Intell. Robotic Syst..

[4]  Jean-Claude Latombe,et al.  Robot Motion Planning: A Distributed Representation Approach , 1991, Int. J. Robotics Res..

[5]  Zbigniew Michalewicz,et al.  Path Planning in Dynamic Environments , 2005, Innovations in Robot Mobility and Control.

[6]  Libor Preucil,et al.  Robot Path Planning using Particle Swarm Optimization of Ferguson Splines , 2006, 2006 IEEE Conference on Emerging Technologies and Factory Automation.

[7]  Lydia E. Kavraki,et al.  Path planning for minimal energy curves of constant length , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[8]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[9]  Chee Yap,et al.  Algorithmic motion planning , 1987 .

[10]  James Kennedy,et al.  The Behavior of Particles , 1998, Evolutionary Programming.

[11]  Sanghamitra Bandyopadhyay,et al.  Classification and learning using genetic algorithms - applications in bioinformatics and web intelligence , 2007, Natural computing series.

[12]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[13]  Edward A. Bender,et al.  Mathematical methods in artificial intelligence , 1996 .

[14]  John McPhee,et al.  COMPLETE AND SCALABLE MULTI-ROBOT PLANNING IN TUNNEL ENVIRONMENTS , 2006 .

[15]  Ronald C. Arkin,et al.  An Behavior-based Robotics , 1998 .

[16]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[17]  Stephen M. Rock,et al.  Dynamic Networks for Motion Planning in Multi-Robot Space Systems , 2003 .

[18]  Vijay R. Kumar,et al.  Optimal Motion Generation for Groups of Robots: A Geometric Approach , 2004 .

[19]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[20]  Amit Konar,et al.  Two improved differential evolution schemes for faster global search , 2005, GECCO '05.

[21]  Amit Konar,et al.  Distributed cooperative multi-robot path planning using differential evolution , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[22]  Wolfram Burgard,et al.  Optimizing schedules for prioritized path planning of multi-robot systems , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[23]  M. M. Ali,et al.  Differential evolution algorithms using hybrid mutation , 2007, Comput. Optim. Appl..

[24]  Kang G. Shin,et al.  Minimum-time collision-free trajectory planning for dual-robot systems , 1992, IEEE Trans. Robotics Autom..

[25]  Lakhmi C. Jain,et al.  Path Planning and Obstacle Avoidance for Autonomous Mobile Robots: A Review , 2006, KES.

[26]  Paul Levi,et al.  Cooperative Multi-Robot Path Planning by Heuristic Priority Adjustment , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[27]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[28]  Tucker R. Balch,et al.  Behavior-based formation control for multirobot teams , 1998, IEEE Trans. Robotics Autom..

[29]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[30]  Amit Konar,et al.  Improving particle swarm optimization with differentially perturbed velocity , 2005, GECCO '05.

[31]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[32]  H. Hoyer,et al.  Planning of optimal paths for autonomous agents moving in inhomogeneous environments , 1997, 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR'97.

[33]  Yoshio Kawauchi,et al.  Structure decision method for self organising robots based on cell structures-CEBOT , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[34]  Heng-Ming Tai,et al.  Autonomous local path planning for a mobile robot using a genetic algorithm , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

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

[36]  Jihong Lee,et al.  A minimum-time trajectory planning method for two robots , 1992, IEEE Trans. Robotics Autom..

[37]  Ignacy Duleba,et al.  Nonholonomic motion planning based on Newton algorithm with energy optimization , 2003, IEEE Trans. Control. Syst. Technol..

[38]  Larry S. Davis,et al.  Multiresolution path planning for mobile robots , 1986, IEEE J. Robotics Autom..

[39]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[40]  Charles W. Warren,et al.  Multiple robot path coordination using artificial potential fields , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[41]  Malcolm R. K. Ryan.  Graph Decomposition for Efficient Multi-Robot Path Planning , 2007, IJCAI.

[42]  S. Zucker,et al.  Toward Efficient Trajectory Planning: The Path-Velocity Decomposition , 1986 .

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

[44]  Zbigniew Michalewicz,et al.  Adaptive evolutionary planner/navigator for mobile robots , 1997, IEEE Trans. Evol. Comput..

[45]  Günther Schmidt,et al.  Conflict-free motion of multiple mobile robots based on decentralized motion planning and negotiation , 1997, Proceedings of International Conference on Robotics and Automation.