Competitive location in the L1 and Linf metrics

  • Ramesh Govindan
  • Pandu Rangan
Graphs, Geometry And Data Structures
Part of the Lecture Notes in Computer Science book series (LNCS, volume 314)


In this paper we consider the problem of locating a new facility which is at least a given distance away from each of m existing facilities and which attracts the maximum number of the n existing demand points (m < n). We solve this problem in O(nlogn) time for the distance metrics L1 and Linf.


Voronoi Diagram Demand Point Vertical Edge Left Endpoint Naive Algorithm 


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6. References

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    Drezner Z. Competitive location strategies for two facilities. Regional Sc. and Urban Economics, 12(1982), pp485–493.CrossRefGoogle Scholar
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    Kirkpatrick D.G. Optimal Search in a planar subdivision. SIAM J1. of Comptg., 12, 1(1983), pp28–35.CrossRefGoogle Scholar
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    Lee D.T. Two-dimensional Voronoi diagram in the L(p) metric. Jl. of Assoc. Comp. Mach., 27(1980), pp604–618.Google Scholar
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    Lee D.T. Maximum Clique problem of rectangle graphs. Advances in Comptg. Res., Vol 1, JAI Press, 1983, pp91–107.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Ramesh Govindan
    • 1
  • Pandu Rangan
    • 1
  1. 1.Department of Computer Science and EngineeringIndian Institute of TechnologyMadrasIndia

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