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Multi-robot Task Allocation Using Clustering Method

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Abstract

This paper introduces an approach to solve the task assignment problem for a large number of tasks and robots in an efficient time. This method reduces the size of the state space explored by partitioning the tasks to the number of robotic agents. The proposed method is divided into three stages: first the tasks are partitioned to the number of robots, then robots are being assigned to the clusters optimally, and finally a task assignment algorithm is executed individually at each cluster. Two methods are adopted to solve the task assignment at each cluster, a genetic algorithm and an imitation learning algorithm. To verify the performance of the proposed approach, several numerical simulations are performed. Our empirical evaluation shows that clustering leads to great savings in runtime (up to a factor of 50), while maintaining the quality of the solution.

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References

  1. Wu, F., Zilberstein, S., Chen, X.: Online planning for multi-agent systems with bounded communication. Artif. Intell. 175(2), 487–511 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. Avellar, G.S., Thums, G.D., Lima, R.R., Iscold, P., Torres, L. Pereira, G., et al.: On the development of a small hand-held multi-uav platform for surveillance and monitoring. In: 2013 International Conference on Unmanned Aircraft Systems (ICUAS), pp. 405–412, IEEE (2013)

    Google Scholar 

  3. Iscold, P., Pereira, G.A., Torres, L.A.: Development of a hand-launched small uav for ground reconnaissance. IEEE Trans. Aerosp. Electron. Syst. 46(1), 335–348 (2010)

    Article  Google Scholar 

  4. Burgard, W., Moors, M., Stachniss, C., Schneider, F.E.: Coordinated multi-robot exploration. IEEE Trans. Robot. 21(3), 376–386 (2005)

    Article  Google Scholar 

  5. Chandler, P.R., Pachter, M., Rasmussen, S., Schumacher, C.: Multiple task assignment for a uav team. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, p. 4587 (2002)

    Google Scholar 

  6. Richards, A., Bellingham, J., Tillerson, M., How, J.: Coordination and control of multiple uavs. In: AIAA Guidance, Navigation, and Control Conference, Monterey, CA (2002)

    Google Scholar 

  7. Schumacher, C., Chandler, P., Pachter, M., Pachter, L.: Constrained optimization for uav task assignment. In: Proceedings of the AIAA Guidance, Navigation, and Control Conference, pp. 1–14. American Institute of Aeronautics and Astronautics Inc, Reston, VA, USA (2004)

    Google Scholar 

  8. Eun, Y., Bang, H.: Cooperative task assignment/path planning of multiple unmanned aerial vehicles using genetic algorithm. J. Aircraft 46(1), 338–343 (2009)

    Article  Google Scholar 

  9. Shima, T., Rasmussen, S.J., Sparks, A.G., Passino, K.M.: Multiple task assignments for cooperating uninhabited aerial vehicles using genetic algorithms. Comput. Oper. Res. 33(11), 3252–3269 (2006)

    Article  MATH  Google Scholar 

  10. Potvin, J.-Y.: Genetic algorithms for the traveling salesman problem. Ann. Oper. Res. 63(3), 337–370 (1996)

    Article  MATH  Google Scholar 

  11. Cruz Jr, J.B., Chen, G., Li, D., Wang, X.: Particle swarm optimization for resource allocation in uav cooperative control. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 1–11, Providence, USA (2004)

    Google Scholar 

  12. MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the fifth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, pp. 281–297, Oakland, CA, USA (1967)

    Google Scholar 

  13. Rokach, L.: A survey of clustering algorithms. In: Data Mining and Knowledge Discovery Handbook, pp. 269–298. Springer (2010)

    Google Scholar 

  14. Burkard, R.E., Dell’Amico, M., Martello, S.: Assignment Problems. Revised Reprint, Siam (2009)

    Google Scholar 

  15. Kuhn, H.W.: The hungarian method for the assignment problem. Naval Res. Logist. Quart. 2(1–2), 83–97 (1955)

    Article  MathSciNet  MATH  Google Scholar 

  16. Jonker, R., Volgenant, A.: A shortest augmenting path algorithm for dense and sparse linear assignment problems. Computing 38(4), 325–340 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  17. Dijkstra, E.W.: A note on two problems in connexion with graphs. Numer. Math. 1(1), 269–271 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  18. Goldberg, D.E., Lingle, R.: Alleles, loci, and the traveling salesman problem. In: Proceedings of the First International Conference on Genetic Algorithms and Their Applications, pp. 154–159. Lawrence Erlbaum Associates, Publishers (1985)

    Google Scholar 

  19. Argall, B.D., Chernova, S., Veloso, M., Browning, B.: A survey of robot learning from demonstration. Robot. Auton. Syst. 57(5), 469–483 (2009)

    Article  Google Scholar 

  20. Billard, A., Calinon, S., Dillmann, R., Schaal, S.: Robot programming by demonstration. In: Springer Handbook of Robotics, pp. 1371–1394. Springer (2008)

    Google Scholar 

  21. Duvallet, F., Stentz, A.: Imitation learning for task allocation. In: 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3568–3573. IEEE (2010)

    Google Scholar 

  22. Ratliff, N.D., Silver, D., Bagnell, J.A.: Learning to search: Functional gradient techniques for imitation learning. Auton. Robots 27(1), 25–53 (2009)

    Article  Google Scholar 

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Correspondence to Farzam Janati .

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Janati, F., Abdollahi, F., Ghidary, S.S., Jannatifar, M., Baltes, J., Sadeghnejad, S. (2017). Multi-robot Task Allocation Using Clustering Method. In: Kim, JH., Karray, F., Jo, J., Sincak, P., Myung, H. (eds) Robot Intelligence Technology and Applications 4. Advances in Intelligent Systems and Computing, vol 447. Springer, Cham. https://doi.org/10.1007/978-3-319-31293-4_19

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  • DOI: https://doi.org/10.1007/978-3-319-31293-4_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31291-0

  • Online ISBN: 978-3-319-31293-4

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