Optimal Insertion of a Segment Highway in a City Metric

  • Matias Korman
  • Takeshi Tokuyama
Conference paper

DOI: 10.1007/978-3-540-69733-6_60

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5092)
Cite this paper as:
Korman M., Tokuyama T. (2008) Optimal Insertion of a Segment Highway in a City Metric. In: Hu X., Wang J. (eds) Computing and Combinatorics. COCOON 2008. Lecture Notes in Computer Science, vol 5092. Springer, Berlin, Heidelberg

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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