Structural Study of the K-Median Problem

  • 발행 : 1995.04.01

초록

The past three decades have witnessed a tremendous growth is the literature on location proble. A mathematical formulation of uncapacitated plant location problem and the k-median as an integer program has proven very fruitful in the derivation of solution methods. Most of the successful algorithms for the problem are based on so-called "strong" linear programming relaxation. This is due to the fact that the strong linear programming relaxation provides a tight lower bound. In this paper we investigate the phenomenon with a structural analysis of the problem.e problem.

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참고문헌

  1. Mathematics of Operations Research v.13 no.1 Probabilistianalysis of a relaxtion for the k-median problem Ahn,S.H.;C.Cooper;G.Cornuejols;A.Frieze
  2. A note on solving large p-median problems. technical report SW7 2BX Basley,J.E.
  3. J. Oper, Res. Society v.35 P-median and multi-medians Boffey,T.B.;J.KarKazis
  4. Graph Theory: An Algorithmic Approach Christofides,N.
  5. European Journal of O.R. v.10 A tree search algorithm for the p-mdeiam problem Christofides,N.;J.E.Beasley
  6. SIAM J. Algebraic and descrete Mathematics v.3 Some Facets of the Simple Plant Location Problem Cornuejols,G.;J.M.Thizy
  7. Operations Res. v.28 Worst-case and probablilistic anaysisof algorithms for a location problem Cornuejols,G.;G.L.Nemhauser;L.A.Woley
  8. Management Sci. v.23 Location of bank accounts to optimize float: an analytic study of exact and approximate algorithms, Management Sci. Cornuejols,G.;M.L.Nemhauser
  9. Mathematic of Operations Research v.15 no.1 Probabilistic analysis of the planar k-median problems Fisher,M.L.;D.S.Hochbaum
  10. Facility Layout and Location:An Analytic Approach Francis,R.L.;J.A.White
  11. Location and Networks: Theory and Algorithms Handler,G.T.;P.B.Mirchandani
  12. Lokalisering-modeller & Losningsmetoder, Studentinlitteratur Jacobsenm S.K.;P.K.Pruzan
  13. European Journal of O.R. v.12 Solving covering problems and the uncapacitated plant location problem on trees Kolen,A.
  14. European Journal of O.R. v.12 The simple plant location problem: Survey and synthesis Krarup,J.;P.M.Pruzan
  15. SIAM Jour. Computing v.10 no.3 Worst-case and probabilistic analysis of an geometric location problem Papadimitriou,C.
  16. Geographical Anal v.2 Central facilities location ReVelle,C.S.;R.S.Swain
  17. J. Operational Res. Soc. v.30 The p-median and its linear progrmming relaxion: an approach to large problems Rosing,K.E.;C.S.ReVelle,Rosing-Vogelaar