Inspecting a Set of Strips Optimally

  • Authors:
  • Tom Kamphans;Elmar Langetepe

  • Affiliations:
  • Computer Science, Algorithms Group, Braunschweig University of Technology, Braunschweig, Germany 38106;Institute of Computer Science I, University of Bonn, Bonn, Germany 53117

  • Venue:
  • WADS '09 Proceedings of the 11th International Symposium on Algorithms and Data Structures
  • Year:
  • 2009

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Abstract

We consider a set of axis-parallel nonintersecting strips in the plane. An observer starts to the left of all strips and ends to the right, thus visiting all strips in the given order. A strip is inspected as long as the observer is inside the strip. How should the observer move to inspect all strips? We use the path length outside a strip as a quality measure which should be minimized. Therefore, we would like to find a directed path that minimizes the maximal measure among all strips. We present an optimal algorithm designed according to the structural properties of the optimal solution.