Abstract
In this paper, we consider a decentralized approach to the multi-agent target assignment problem and explore the deterioration of the quality of assignment solution in respect to the decrease of the quantity of the information exchanged among communicating agents and their communication range when the latter is not sufficient to maintain the connected communication graph. The assignment is achieved through a dynamic iterative auction algorithm in which agents (robots) assign the targets and move towards them in each period. In the case of static targets and connected communication graph, the algorithm results in an optimal assignment solution. The assignment results are compared with two benchmark cases: a centralized one in which all the global information is known and therefore, the optimal assignment can be found, and the greedy one in which each agent moves towards the target with the highest benefit without communication with any other agent.
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References
Bertsekas, D.P.: Auction algorithms for network flow problems: A tutorial introduction. Comput. Opt. and Applications 1(1), 7–66 (1992)
Díaz, J., Mitsche, D., Pérez-Giménez, X.: On the connectivity of dynamic random geometric graphs. In: Proc. of 19th ACM-SIAM Symposium on Discrete Algorithms, pp. 601–610 (2008)
Finke, J., Passino, K.M., Sparks, A.: Cooperative control via task load balancing for networked uninhabited autonomous vehicles. In: Proc. of 42nd IEEE Conference on Decision and Control, vol. 1, pp. 31–36 (2003)
Gil, A.E., Passino, K.M., Ganapathy, S., Sparks, A.: Cooperative scheduling of tasks for networked uninhabited autonomous vehicles. In: Proc. of 42nd IEEE Conference on Decision and Control, pp. 522–527 (2003)
Giordani, S., Lujak, M., Martinelli, F.: A Distributed Algorithm for the Multi-Robot Task Allocation Problem. In: García-Pedrajas, N., Herrera, F., Fyfe, C., Benítez, J.M., Ali, M. (eds.) IEA/AIE 2010. LNCS, vol. 6096, pp. 721–730. Springer, Heidelberg (2010)
Keshavarz, H.A., Ribeiro, V., Riedi, R.: Broadcast capacity in multihop wireless networks. In: Proc. of 12th Int. Conf. on Mob. Comp. & Netw., pp. 239–250 (2006)
Korkmaz, G., Ekici, E., Özgüner, F., Özgüner, Ü.: Urban multi-hop broadcast protocol for inter-vehicle communication systems. In: Proc. of 1st ACM Int. Workshop on Vehicular Ad-hoc Networks, pp. 76–85 (2004)
Moore, B.J., Passino, K.M.: Coping with information delays in the assignment of mobile agents to stationary tasks. In: IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers, UK, pp. 3339–3344 (2004)
Moore, B.J., Passino, K.M.: Distributed task assignment for mobile agents. IEEE Transactions on Automatic Control 52(4), 749–753 (2007)
Murphy, A.L., Picco, G.P.: Reliable communication for highly mobile agents. Aut. Agents and Multi-Ag. Sys. 5(1), 81–100 (2002)
Penrose, M.: Random geometric graphs. Oxford University Press, USA (2003)
Ren, W., Beard, R.W., McLain, T.W.: Coordination Variables and Consensus Building in Multiple Vehicle Systems. In: Coop. Control: a Post-Workshop: Block Island Workshop on Coop. Control, pp. 171–188 (2004)
Santi, P.: The critical transmitting range for connectivity in mobile ad hoc networks. IEEE Trans. on Mob. Comp. 4(3), 310–317 (2005)
Santi, P., Blough, D.M.: An evaluation of connectivity in mobile wireless ad hoc networks. In: Proc. of Int. Conf. on Depend. Sys. and Netw., pp. 89–98 (2002)
Santi, P., Blough, D.M., Vainstein, F.: A probabilistic analysis for the range assignment problem in ad-hoc networks. In: Proc. of ACM Mobihoc, pp. 212–220 (2001)
Savkin, A.V.: The problem of coordination and consensus achievement in groups of autonomous mobile robots with limited communication. Nonlinear Analysis 65(5), 1094–1102 (2006)
Smith, S., Bullo, F.: A Geometric Assignment Problem for Robotic Networks. In: Modeling, Estimation and Control, pp. 271–284. Springer, Heidelberg (2008)
Zavlanos, M.M., Pappas, G.J.: Dynamic assignment in distributed motion planning with local coordin. IEEE Trans. on Rob. 24(1), 232–242 (2008)
Zavlanos, M.M., Pappas, G.J.: Sensor-based dynamic assignment in distributed motion planning. In: IEEE Int. Conf. on Rob. and Autom., pp. 3333–3338 (2007)
Zavlanos, M.M., Spesivtsev, L., Pappas, G.J.: A distributed auction algorithm for the assignment problem. In: Proc. of 47th IEEE Conf. on Decision and Control, pp. 1212–1217 (2008)
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Lujak, M., Giordani, S. (2011). On the Communication Range in Auction-Based Multi-Agent Target Assignment. In: Bettstetter, C., Gershenson, C. (eds) Self-Organizing Systems. IWSOS 2011. Lecture Notes in Computer Science, vol 6557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19167-1_4
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DOI: https://doi.org/10.1007/978-3-642-19167-1_4
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