• DocumentCode
    3090865
  • Title

    An approximation solution for the 2-median problem on two-dimensional meshes

  • Author

    Tse, Savio S H ; Lau, Francis C M

  • Author_Institution
    Dept. of Comput. Sci., Hong Kong Univ., China
  • Volume
    2
  • fYear
    2005
  • fDate
    28-30 March 2005
  • Firstpage
    457
  • Abstract
    We study the p-median problem which is one of the classical problems in location theory. For p = 2 and on a two-dimensional mesh, we give an O(m2 + q log q)-time approximation algorithm for solving the problem with worst-case ratio 1.5 + δ on the communication cost, where m is the number of rows of the mesh containing demand points, n the number of columns containing demand points, m ≥ n,q the number of demand points, and δ is some positive constant which can be as small as needed.
  • Keywords
    computational complexity; mesh generation; multiprocessor interconnection networks; parallel programming; 2-median problem; 2D mesh; approximation algorithm; approximation solution; distributed computing; location theory; parallel computing; Approximation algorithms; Computer networks; Computer science; Concurrent computing; Costs; Distributed computing; Hypercubes; Network topology; Parallel processing; Tree graphs; P-median; approximation algorithms; distributed; location problem; mesh; parallel computers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Information Networking and Applications, 2005. AINA 2005. 19th International Conference on
  • ISSN
    1550-445X
  • Print_ISBN
    0-7695-2249-1
  • Type

    conf

  • DOI
    10.1109/AINA.2005.92
  • Filename
    1423733