Auction Mechanism Design for Multi-Robot Coordination

The design of cooperative multi-robot systems is a highly active research area in robotics. Two lines of research in particular have generated interest: the solution of large, weakly coupled MDPs, and the design and implementation of market architectures. We propose a new algorithm which joins together these two lines of research. For a class of coupled MDPs, our algorithm automatically designs a market architecture which causes a decentralized multi-robot system to converge to a consistent policy. We can show that this policy is the same as the one which would be produced by a particular centralized planning algorithm. We demonstrate the new algorithm on three simulation examples: multi-robot towing, multi-robot path planning with a limited fuel resource, and coordinating behaviors in a game of paint ball.

[1]  Wolfram Burgard,et al.  Collaborative Multi-Robot Localization , 1999, DAGM-Symposium.

[2]  Maja J. Matarić,et al.  Sold!: Market methods for multi-robot control , 2001 .

[3]  Lynne E. Parker,et al.  On the design of behavior-based multi-robot teams , 1995, Adv. Robotics.

[4]  Sebastian Thrun,et al.  Locating moving entities in indoor environments with teams of mobile robots , 2003, AAMAS '03.

[5]  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).

[6]  Maja J. Matarić,et al.  Robust Behavior-Based Control for Distributed Multi-Robot Collection Tasks , 2000 .

[7]  Nesa L'abbe Wu,et al.  Linear programming and extensions , 1981 .

[8]  Geoffrey J. Gordon,et al.  Distributed Planning in Hierarchical Factored MDPs , 2002, UAI.

[9]  John M. Dolan,et al.  Modified reactive control framework for cooperative mobile robots , 1997, Other Conferences.

[10]  Leslie Pack Kaelbling,et al.  Planning and Acting in Partially Observable Stochastic Domains , 1998, Artif. Intell..

[11]  Robert P. Goldman,et al.  Coordinated deployment of multiple, heterogeneous robots , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[12]  Hiroaki Kitano,et al.  RoboCup-97: The First Robot World Cup Soccer Games and Conferences , 1998, AI Mag..

[13]  M. Rosencrantz,et al.  Locating Moving Entities in Dynamic Indoor Environments with Teams of Mobile Robots , 2002 .

[14]  Stergios I. Roumeliotis,et al.  Distributed Multi-Robot Localization , 2000, DARS.

[15]  Wolfram Burgard,et al.  Collaborative multi-robot exploration , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[16]  Anthony Stentz,et al.  Multi-robot exploration controlled by a market economy , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[17]  Andrew B. Kahng,et al.  Cooperative Mobile Robotics: Antecedents and Directions , 1997, Auton. Robots.

[18]  Anthony Stentz,et al.  A Market Approach to Multirobot Coordination , 2001 .