Barrier Coverage with Uniform Radii in 2D

  • Andrew Cherry
  • Joachim Gudmundsson
  • Julián Mestre
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10718)


Given a set B of disjoint line segments in the plane, the so-called barriers, and a set of n sensors with uniform range in the plane, the barrier coverage problem is to move the sensors so that they cover the segments in B, while minimizing the total movement of the sensors. In the 1D case when B contains a single barrier and all the sensors lie on B then the problem can be solved in \(O(n \log n)\) time. In 2D very little is known about the complexity of the problem.

We consider the 2D setting and give a \(\sqrt{2}\)-approximation algorithm when B contains a single barrier, or a set of parallel barriers. We also give an approximation algorithm for arbitrarily oriented disjoint barriers.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Andrew Cherry
    • 1
  • Joachim Gudmundsson
    • 1
  • Julián Mestre
    • 1
    • 2
  1. 1.School of Information TechnologiesThe University of SydneySydneyAustralia
  2. 2.Facebook Inc.Menlo ParkUSA

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