Abstract
We study distributed boundary coverage of known environments using a team of miniature robots. Distributed boundary coverage is an instance of the multi-robot task-allocation problem and has applications in inspection, cleaning, and painting among others. The proposed algorithm is robust to sensor and actuator noise, failure of individual robots, and communication loss. We use a market-based algorithm with known lower bounds on the performance to allocate the environmental objects of interest among the team of robots. The coverage time for systems subject to sensor and actuator noise is significantly shortended by on-line task re-allocation. The complexity and convergence properties of the algorithm are formally analyzed. The system performance is systematically analyzed at two different microscopic modeling levels, using agent-based, discrete-event and module-based, realistic simulators. Finally, results obtained in simulation are validated using a team of Alice miniature robots involved in a distributed inspection case study.
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Acar, E., Choset, H., Zhang, Y., Schervish, M.: Path planning for robotic demining: robust sensor-based coverage of unstructured environments and probabilistic methods. Int. J. Rob. Res. 22(7–8), 441–466 (2003)
Bafna, V., Kalyanasundaram, B., Pruhs, K.: Not all insertion methods yield constant approximate tours in the Euclidean plane. Theor. Comput. Sci. 125(2), 345–353 (1994)
Berhault, M., Huang, H., Keskinocak, P., Koenig, S., Elmaghraby, W., Griffin, P., Kleywegt, A.: Robot exploration with combinatorial auctions. In: Proceedings of the IEEE International Conference on Intelligent Robots and Systems (IROS), pp. 1957–1962. IEEE, Piscataway (2003)
Caprari, G., Siegwart, R.: Mobile micro-robots ready to use: Alice. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), pp. 3295–3300. Edmonton, Alberta, Canada, August 2005
Correll, N.: Coordination schemes for distributed boundary coverage with a swarm of miniature robots: synthesis, analysis and experimental validation. PhD thesis, Number 3919, École Polytechnique Fédérale Lausanne (2007)
Correll, N., Martinoli, A.: Robust distributed coverage using a swarm of miniature robots. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 379–384, Rome, April 2007
Correll, N., Rutishauser, S., Martinoli, A.: Comparing coordination schemes for miniature robotic swarms: a case study in boundary coverage of regular structures. In: Proc. of the Int. Symp. on Experimental Robotics (ISER), Springer Tracts on Advanced Robotics, vol. 39, pp. 471–480. Rio de Janeiro, July 2006 (2008)
Correll, N., Sempo, G., Lopez de Meneses, Y., Halloy, J., Deneubourg, J.-L., Martinoli, A.: SwisTrack: a tracking tool for multi-unit robotic and biological research. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), pp. 2185–2191, Beijing, October 2006
Dias, M., Zlot, R., Kalra, N., Stentz, A.: Market-based multirobot coordination: a survey and analysis. Proc. IEEE 94(7), 1257–1270 (2006) (Special Issue on Multi-Robot Systems)
Dias, M.B., Stentz, A.: A free market architecture for distributed control of a multi-robot system. In: Proceedings of the Sixth Int. Conf. on Intelligent Autonomous Systems, pp. 115–122, Venice, July 2000
Easton, K., Burdick, J.: A coverage algorithm for multi-robot boundary inspection. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 727–734, Barcelona, April 2005
Even, G., Garg, N., Könemann, J., Ravi, R., Sinha, A.: Min-max tree covers of graphs. Oper. Res. Lett. 32, 309–315 (2004)
Frederickson, G., Hecht, M., Kim, C.: Approximation algorithms for some routing problems. SIAM J. Comput. 7(2), 178–193 (1978)
Gabriely, Y., Rimon, E.: Spanning-tree based coverage of continuous areas by a mobile robot. Ann. Math. Artif. Intell. 31(1–4), 77–98 (2001)
Gerkey, B., Matarić, M.: A formal analysis and taxonomy of task allocation in multi-robot systems. Int. J. Rob. Res. 23(9), 939–954 (2004)
Gerkey, B.P., Mataric, M.J.: Sold!: auction methods for multi-robot coordination. IEEE Trans. Robot. Autom. 18(5), 758–768 (2002) (Special Issue on Multi-robot Systems)
Hazon, N., Mieli, F., Kaminka, G.: Towards robust on-line multi-robot coverage. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 1710–1715, Orlando, May 2006
Jäger, M., Nebel, B.: Dynamic decentralized area partitioning for cooperating cleaning robots. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 3577–3582. IEEE, Washington, DC (2002)
Kalra, N., Ferguson, D., Stentz, A.: Hoplites: a market-based framework for planned tight coordination in multirobot teams. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 1170–1177, Barcelona, April 2005
Lagoudakis, M., Markakis, V., Kempe, D., Keskinocak, P., Koenig, S., Kleywegt, A., Tovey, C., Meyerson, A., Jain, S.: Auction-based multi-robot routing. In: Robotics: Science and Systems. MIT, Cambridge (2005)
Lerman, K., Jones, C., Galstyan, A., Matarić, M.: Analysis of dynamic task allocation in multi-robot systems. Int. J. Rob. Res. 25(4), 225–242 (2006)
Lerman, K., Martinoli, A., Galystan, A.: A review of probabilistic macroscopic models for swarm robotic systems. In: Proc. of the SAB 2004 Workshop on Swarm Robotics, Santa Monica, CA, USA. Lecture Notes in Computer Science, vol. 3342, pp. 143–152. Springer, Berlin (2005)
Martinoli, A., Easton, K., Agassounon, W.: Modeling of swarm robotic systems: a case study in collaborative distributed manipulation. Int. J. Rob. Res. 23(4), 415–436 (2004)
Michel, O.: Webots: professional mobile robot simulation. J. Adv. Robot. Syst. 1(1), 39–42 (2004)
Rekleitis, I., New, A., Choset, H.: Distributed coverage of unknown/unstructured environments by mobile sensor networks. In: Schultz, A.C., Parker, L.E., Schneider, F. (eds.) 3rd International NRL Workshop on Multi-Robot Systems, pp. 145–155. Kluwer, Washington, DC (2005)
Rutishauser, S., Correll, N., Martinoli, A.: Collaborative coverage using a swarm of networked miniature robots. Robot. Auton. Syst. (2009). doi:10.1016/j.robot.2008.10.023. Available online 24 November 2008
Tovey, C., Lagoudakis, M., Jain, S., Koenig, S.: The generation of bidding rules for auction-based robot coordination. In: Multi-Robot Systems: from Swarms to Intelligent Automata, vol. 3, pp. 3–14. Springer, New York (2005)
Williams, K., Burdick, J.: Multi-robot boundary coverage with plan revision. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 1716–1723. IEEE, Orlando (2006)
Zheng, X., Jain, S., Koenig, S., Kempe, D.: Multi-robot forest coverage. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), pp. 3852–3857, Edmonton, August 2005
Zlot, R., Stentz, A.: Market-based multirobot coordination for complex tasks. Int. J. Rob. Res. 25(1), 73–102 (2006) (Special Issue on the 5th International Conference on Field and Service Robotics)
Zlot, R., Stentz, A., Dias, M., Thayer, S.: Multi-robot exploration controlled by a market economy. In: IEEE Int. Conf. on Robotics and Automation (ICRA), pp. 3016–3023. IEEE, Washington, DC (2002)
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This work has been done when all authors were with the Swarm-Intelligent Systems Group, EPFL.
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Amstutz, P., Correll, N. & Martinoli, A. Distributed boundary coverage with a team of networked miniature robots using a robust market-based algorithm. Ann Math Artif Intell 52, 307–333 (2008). https://doi.org/10.1007/s10472-009-9127-8
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DOI: https://doi.org/10.1007/s10472-009-9127-8
Keywords
- Multi-robot systems
- Miniature robots
- Boundary coverage
- Distributed coverage
- Networked robots
- Market-based algorithms