Diffusion-equation model of slightly loaded M/M /1 queue

  • Authors:

  • Janusz Filipiak

  • Affiliations:

  • Institute of Control, Systems Engineering and Telecommunications, Academy of Mining and Metallurgy, 30059 Krakow, Poland

  • Venue:
  • Operations Research Letters
  • Year:
  • 1983

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Abstract

Another derivation of the diffusion approximation of the M/M/1 queue is presented, which results in a new boundary condition. The model proposed approximates the time-dependent behavior of the M/M/1 system for all values of channel utilization.