Handling uncertainty of resource division in multi agent system using game against nature

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Abstract

This paper addresses the problem of resource division for robotic agents in the framework of Multi-Agent System. Knowledge of the environment represented in the system is uncertain, incomplete and distributed among the individual agents that have both limited sensing and communication abilities. The pick-up-and-collection problem is considered in order to illustrate the idea presented. In this paper a framework for cooperative task assignment to individual agents is discussed. The process of negotiating access to common resources by intercommunicating agents is modeled and solved as a game against Nature. The working of the proposed system was verified by multiple simulations. Selected, exemplary simulations are presented in the paper to illustrate the approach discussed

[1] C. BALDASSANO and N.E. LEONARD: Explore vs. exploit: Task allocation for multi-robot foraging. Preprint. 2009. Available online http://www.princeton.edu/naomi/publications.html.

[2] R.P. BONASSO, D. KORTENKAMO, D.P. MILLER and M. SLACK: Experiences with an architecture for intelligent, reactive agents. In M. WOOLDRIDGE, J.P. MULLER and M. TAMBE eds. Intelligent Agents II. Lecture Notes in Articial Intellignce 1037 New York, Springer-Verlag, 1996, 187-202.

[3] R.A. BROOKS: Intelligence without representation. Artificial Intelligence, 47(1-3), (1991), 139-159.

[4] W. BURGARD, M. MOORS, D. FOX, R. SIMMONS and S. THRUN: Collaborative multi-robot exploration. Proc. IEEE Int. Conf. on Robotics and Automation, San Francisco, CA, (2000), 476-481.

[5] C. CANDEA, H. HU, L. IOCCHI, D. NARDI and M. PIAGGIO: Coordination in Multi-Agent RoboCup Teams. Robotics and Autonomous Systems, 36 (2001), 67-86.

[6] X. CHENG, J. SHEN, H. LIU and G. GU: Multi-robot cooperation based on hierarchical reinforcement learning. Lecture Notes in Computer Science, 4489 2007, 90-97.

[7] R. FIERRO, A. DAS, J. SPLETZER, J. ESPOSITO, V. KUMAR, J.P. OSTROWSKI, G. PAPPAS, C.J. TAYLOR, Y. HUR, R. ALUR, I. LEE, G. GRUDIC and J SOUTHALL: A framework and architecture for multi-robot coordination. International J. of Robotics Research, 21(10-11), (2002), 977-995.

[8] B.P. GERKEY and M.J. MATARIC: Sold!: Auction methods for multi-robot coordination. IEEE Trans. on Robotics and Automation, 18(5), (2002), 758-768.

[9] R. GHRIST and S.M. LAVALLE: Nonpositive curvature and pareto-optimal coordination of robots. SIAM J. of Control and Optimization, 45(5), (2006), 1697-1713.

[10] I. HARMATI and K. SKRZYPCZYK: Robot team coordination for target tracking using fuzzy logic controller in game theoretic framework. J. of Robotics and Autonomous Systems, 57(1), (2009), 75-86.

[11] J. JONES and M. MATARIC: Adaptive division of labor in large-scale minimalist multi-robot systems. Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, Las Vegas, (2003), 1969-1974.

[12] N. KALRA and A. MARTINOLI: Comparative study of market-based and threshold-based task allocation. Distributed Autonomous Robotic Systems, 7 (2006), 91-101.

[13] G.A. KAMINKA, D. ERUSALIMCHIK and S. KRAUS: Adaptive multi-robot coordination: A Game-Theoretic perspective. Proc. of IEEE Int. Conf. on Robotics and Automation, Anchorage, Alaska, USA, (2010), 328-334.

[14] M. KLUSCH and A. GERBER: Dynamic coalition formation among rational agents. IEEE Intelligent Systems, 17(3), (2002), 42-47.

[15] J.K. KOK and M.T.J. SPAAN and N. VLASSIS: Non-communicative multi-robot coordination in dynamic environments. Robotics and Autonomous Systems, 50(2-3), (2005), 99-114.

[16] K. KOSUGE, Y. HIRATA, H. ASAMA, H. KAETSU, and K. KAWABATA: Motion control of multiple autonomous mobile robots handling a large object in coordination. Proc. IEEE Int. Conf. on Robotics and Automation, Detroit, MI, (2000), 2666-2673.

[17] S.M. LAVALLE and S.A. HUTCHINSON: Game theory as a unifying structure for a variety of robot tasks. Proc. IEEE Int. Symp. on Intelligent Control, (1993), 429-434.

[18] Y. LI and X. CHEN: Modeling and simulation of swarms for collecting objects. Robotica, 00 (2005), 1-10.

[19] J. LAWTON, B. YOUNG and R. BEARD: A decentralized approach to elementary formation maneuvers. Proc. IEEE Int. Conf. on Robotics and Automation, San Francisco, CA, (2000), 2728-2733.

[20] Y. MENG: Multi-robot searching using Game-Theory based approach. Int. J. of Advanced Robotic Systems, 5(4), (2008), 341-350.

[21] D.P. STRAFFIN: Game Theory and Strategy. The Mathematical Association of America. 1993.

[22] I. REKLEITISY, V. LEE-SHUEY, A.P. NEW and H. CHOSET: Limited communication, Multi-Robot Team based coverage. Proc. of Int. Conf. on Robotics and Automation, New Orleans, LA, (2004), 3463-3468.

[23] Y. SHOHAM and K.L. BROWN: Multiagent systems: Algorithmic, Game- Theoretic, and logical foundations. Cambridge University Press, NY, USA, 2009. ISBN: 978-0-521-89943-7.

[24] K. SKRZYPCZYK: On multi agent coordination in the presence of incomplete information. Proc. Int. Conf. on Artificial Intelligence and Soft Computing, Zakopane, Poland, (2008), 1254-1256.

[25] M. SONG, G. GU, R. ZHANG and X. WANG: A method of multi-robotformation with the least total cost. Int. J. of Informationand System Science, 1(3-4), (2005), 364-371.

[26] P. STONE and M. VELOSO: Multiagent systems: A survey from the machine learning perspective. Technical report, CMU-CS-97-193, School of Computer Science, Carnegie Mellon University, 1997.

[27] T. SUGAR and V. KUMAR: Control and coordination ofmultiple mobile robots in manipulation and material handling tasks. In P. CORKE and J. TREVELYAN eds. Experimental Robotics VI: Lecture Notes in Control and Information Sciences, 250 15-24, Berlin: Springer-Verlag, 2000.

[28] K. SYCARA: 1998: Multiagent systems. Artificial Intelligence Magazine, 19(2), (1998), 79-92.

[29] R.J. WILSON: Introduction to Graph Theory. 3rd ed., New York: Longman Scientific & Technical, 1987. ISBN 0-582-44685-6.

[30] K.J. WINKFELD and G. ZLOTKIN: Multiagent negotiation under time constraints. Artificial Intelligence, 75 (1995), 297-345.

[31] M. WOOLDRIDGE and N. JENNINGS: Intelligent agents: Theory and practice. Knowledge Engineering Review, 10(2), (1995), 115-152.

[32] M. WOOLDRIDGE: An Introduction to Multiagent Systems. Johnn Wiley & Sons Ltd, UK, 2009, ISBN:978-0-470-51946-2.

[33] D. VAIL and M. VELOSO: Dynamic multi-robot coordination. In A. SCHULTZ, L. PARKER and F. SCHNEIDER, eds. Multi-Robot Systems: From Swarms to Intelligent Automata, 2 Kluwer Academic Publishers, the Netherlands, 2003, 87-98.

[34] M. MELLADO and K. SKRZYPCZYK: Information fusion in Multi-Agent System based on reliability criterion. In A. NAWRAT and Z. KUS eds. Vision Based Systems for UAV Applications. Series: Studies in Computational Intelligence, Springer, 481 2013, 207-217, ISBN: 978-3-319-00368-9.

Archives of Control Sciences

The Journal of Polish Academy of Sciences

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IMPACT FACTOR 2016: 0.705

CiteScore 2016: 3.11

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.565

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