Automation and Remote Control

, Volume 79, Issue 12, pp 2147–2158 | Cite as

Extension of the Class of Queueing Systems with Delay

  • V. N. TarasovEmail author
Stochastic Systems


We consider the problem of determining the characteristics of queuing systems with delay by the classical spectral decomposition method for the solution of the Lindley integral equation. As input distributions for the systems we choose mixtures of exponential distributions shifted to the right of the zero point, for which the spectral decomposition approach allows one to obtain a solution in closed form. We show that in such systems with delay, the average waiting time is shorter than in conventional systems.


system with delay QS H2/H2/1 H2/M/1 M/H2/1 Laplace transform average waiting time in the queue 


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© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Povolzhskiy State University of Telecommunications and InformaticsSamaraRussia

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