Abstract
We consider the following problem from swarm robotics: given one or more “awake” robots in some metric space M, wake up a set of “asleep” robots. A robot awakens a sleeping robot by moving to the sleeping robot’s position. When a robot awakens, it is available to assist in awakening other slumbering robots. We investigate offline and online versions of this problem and give a 2-competitive strategy and a lower bound of 2 in the case when M is discrete and the objective is to minimize the total movement cost. We also study the case when M is continuous and show a lower bound of 7/3 when the objective is to minimize the time when the last robot awakens.
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© 2006 Springer-Verlag Berlin Heidelberg
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Hammar, M., Nilsson, B.J., Persson, M. (2006). The Online Freeze-Tag Problem. In: Correa, J.R., Hevia, A., Kiwi, M. (eds) LATIN 2006: Theoretical Informatics. LATIN 2006. Lecture Notes in Computer Science, vol 3887. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11682462_53
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DOI: https://doi.org/10.1007/11682462_53
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32755-4
Online ISBN: 978-3-540-32756-1
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