A note on a stochastic location problem


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volume 13, issue 4 pp 213-214.
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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.



Keywords


Automatically Extracted Terms
  • customer
  • location
  • process
  • model
  • result
  • death processes
  • arrival
  • state
  • facility
  • number
  • monotonicity result
  • k-sflm location problem
  • system
  • service
  • server
  • problem
  • time t
  • service facility
  • research
  • queueing process