Optimal Insertion of a Segment Highway in a City Metric

  • Matias Korman
  • Takeshi Tokuyama
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5092)

Abstract

Given two sets of points in the plane, we are interested in locating a highway h such that an objective function on the city distance between points of the two sets is minimized (where the city distance is measured with speed v > 1 on a highway and 1 in the underlying metric elsewhere). Extending the results of Ahn et al. ([7]), we consider the option that there are already some built highways. We give a unified approach to this problem to design polynomial-time algorithms for several combinations of objective functions and types of the inserted highway (turnpike or freeway).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Matias Korman
    • 1
  • Takeshi Tokuyama
    • 1
  1. 1.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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