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Diffusion-equation model of slightly loaded M/M/1 queue
Authors:Janusz Filipiak
Institution:Institute of Control, Systems Engineering and Telecommunications, Academy of Mining and Metallurgy, 30–059 Krakow, Poland
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.
Keywords:Diffusion approximation  queue  nonstationary behavior
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