Minimizing the Aggregate Movements for Interval Coverage

  • Aaron M. Andrews
  • Haitao WangEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9214)


We consider an interval coverage problem. Given n intervals of the same length on a line L and a line segment B on L, we wish to move the intervals along L such that every point of B is covered by at least one interval and the sum of the moving distances of all intervals is minimized. As a basic geometry problem, it also has applications in mobile sensor barrier coverage. The previous work solved the problem in \(O(n^2)\) time. In this paper, we present an \(O(n\log n)\) time algorithm.


Line Segment Trivial Solution Time Algorithm Mobile Sensor Left Generator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Computer ScienceUtah State UniversityLoganUSA

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