Abstract
We consider the filling problem, in which autonomous mobile robots enter a connected orthogonal area from several entry points and have to disperse in order to reach full coverage. The entry points are called doors. The area is decomposed into cells. The robots are autonomous, anonymous, they have a limited visibility range of one unit, and do not use explicit communication. Collision of the robots is not allowed. First we describe an algorithm solving the filling problem for the single door case in O(n) time steps in the synchronous model, where n is the number of cells in the area. This algorithm is optimal in terms of visibility range, and asymptotically optimal in running time and size of persistent memory used by the robots. Moreover, we show that our algorithm solves the multiple door filling problem in O(n) time, as well. For the multiple door case, our algorithm is asymptotically worst-case optimal, and its running time is at most k times the running time of the optimal algorithm for any input, where k is the number of doors.
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Barrameda, E.M., Das, S., Santoro, N.: Deployment of asynchronous robotic sensors in unknown orthogonal environments. In: Fekete, S.P. (ed.) ALGOSENSORS 2008. LNCS, vol. 5389, pp. 125–140. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-92862-1_11
Barrameda, E.M., Das, S., Santoro, N.: Uniform dispersal of asynchronous finite-state mobile robots in presence of holes. In: Flocchini, P., Gao, J., Kranakis, E., Meyer auf der Heide, F. (eds.) ALGOSENSORS 2013. LNCS, vol. 8243, pp. 228–243. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-45346-5_17
Das, S., Flocchini, P., Prencipe, G., Santoro, N., Yamashita, M.: Autonomous mobile robots with lights. Theor. Comput. Sci. 609, 171–184 (2016)
Flocchini, P., Prencipe, G., Santoro, N.: Distributed Computing by Oblivious Mobile Robots: Synthesis Lectures on Distributed Computing Theory. Morgan & Claypool Publishers, San Rafael (2012)
Hsiang, T.-R., Arkin, E.M., Bender, M.A., Fekete, S.P., Mitchell, J.S.B.: Algorithms for rapidly dispersing robot swarms in unknown environments. In: Boissonnat, J.-D., Burdick, J., Goldberg, K., Hutchinson, S. (eds.) Algorithmic Foundations of Robotics V. STAR, vol. 7, pp. 77–93. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-45058-0_6
Lukovszki, T., Meyer auf der Heide, F.: Fast collisionless pattern formation by anonymous, position-aware robots. In: Aguilera, M.K., Querzoni, L., Shapiro, M. (eds.) OPODIS 2014. LNCS, vol. 8878, pp. 248–262. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-14472-6_17
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Hideg, A., Lukovszki, T. (2017). Uniform Dispersal of Robots with Minimum Visibility Range. In: Fernández Anta, A., Jurdzinski, T., Mosteiro, M., Zhang, Y. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2017. Lecture Notes in Computer Science(), vol 10718. Springer, Cham. https://doi.org/10.1007/978-3-319-72751-6_12
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DOI: https://doi.org/10.1007/978-3-319-72751-6_12
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