A note on a stochastic location problem

  • Authors:

  • J. B. G. Frenk;M. Labbé;S. Zhang

  • Affiliations:

  • Econometric Institute, Erasmus University, Rotterdam, The Netherlands;NFSR Research Associate, C.E.M.E., Université Libre de Bruxelles, Belgium;Department of Econometrics, University of Groningen, Groningen, The Netherlands

  • Venue:
  • Operations Research Letters
  • Year:
  • 1993

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Abstract

In this note we give a short and easy proof of the equivalence of Hakimi's one-median problem and the k-server-facility-loss median problem as discussed by Chiu and Larson in Computer and Operation Research. The proof makes only use of a stochastic monotonicity result for birth and death processes and the insensitivity of the M/G/k/k loss model.