Analysis and Approximations of Time Dependent Queueing Models
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Date
2008-01-18
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Virginia Tech
Abstract
Developing equations to compute congestion measures for the general G/G/s/c queueing model and networks of such nodes has always been a challenge. One approach to analyzing such systems is to approximate the model-specified general input processes and distributions by processes and distributions from the more computationally friendly family of phase-type processes and distributions. We develop numerical approximation methods for analysis of general time-dependent queueing nodes by introducing new approximations for the time-dependent first two moments of the number-in-system and departure-count processes.
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Keywords
phase type distribution, departure process, queueing systems, time dependent