An Approximation to Queueing Systems with Interruptions

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Advanced Queuing Theory Analysis Optimization and Search Problems Age of Information Optimization

Abstract

Queueing systems with interruptions serve as models for a variety of situations occurring in every day life. Usually, for each type of interruption, a separate queueing analysis is required. In this paper we present a single queueing model which can be used to analyze many such systems. The model is in the form of an approximation that is based upon several parameters, which reflect the particular queueing system under consideration. Applications to queueing systems with priorities and breakdowns are given in the paper.

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References

1977Fundamentals of Queueing Theory.1962A Waiting Line with Interrupted Service, Including Priorities 1968A Many-Server Queue with Service Interruptions 1968Diffusion approximations and models for certain congestion problems 1975A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic

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2019Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)1979Approximation techniques in the solution of queueing problems 1979Strategies in molecular spectroscopic analysis with application of queueing theory and digital simulation 1987The single-server queue with independent GI/G and M/G input streams 1983Queueing systems with service interruptions: An approximation model 2006M/M/C queues with Markov modulated service processes

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