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arXiv · 1912.06360

Construction and Maintenance of Swarm Drones

Kiril Danilchenko·Michael Segal
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Abstract

In this paper we study the dynamic version of the covering problem motivated by the coverage of drones' swarm: Let $S$ be a set of $n$ non-negative weighted points in the plane representing users. Also, consider a set $P$ of $m$ disks that correspond to the covering radius of each drone. We want to place (and maintain) set $P$ such that the sum of the weights of the points in $S$ covered by disks from $P$ is maximized. We present a data structure that maintains a small constant factor approximate solution efficiently, under insertions and deletions of points to/from $S$ where each update operation can be performed $O(\log n)$ time.

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Kiril Danilchenko, Michael Segal. 2019-12-13. Construction and Maintenance of Swarm Drones. https://arxiv.org/abs/1912.06360

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