Averaging methods for transient regimes in overloading retrial queueing systems

Averaging methods for transient regimes in overloading retrial queueing systems

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Article ID: iaor20013014
Country: Netherlands
Volume: 30
Issue: 3/4
Start Page Number: 65
End Page Number: 78
Publication Date: Mar 1999
Journal: Mathematical and Computer Modelling
Authors:
Keywords: retrial systems
Abstract:

A new approach is suggested to study transient and stable regimes in overloading retrial queueing systems. This approach is based on limit theorems of averaging principle and diffusion approximation types for so-called switching processes. Two models of retrial queueing systems of the types M/G/1/w.r (multi-dimensional Poisson input flow, one server with general service times, retrial system) and M/M/m/w.r (m servers with exponential service) are considered in the case when the intensity of calls that reapply for the service tends to zero. For the number of re-applying calls, functional limit theorems of averaging principle and diffusion approximation types are proved.

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