This article is cited in 15 papers

Stochastic Systems

Extension of the class of queueing systems with delay

V. N. Tarasov

Povolzhskiy State University of Telecommunications and Informatics, Samara, Russia

Abstract: 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.

Keywords: system with delay, QS $H_2/H_2/1$, $H_2/M/1$, $M/H_2/1$, Laplace transform, average waiting time in the queue.

Presented by the member of Editorial Board: A. I. Lyakhov

Received: 18.11.2015

DOI: 10.31857/S000523100002857-6

 English version: Automation and Remote Control, 2018, 79:12, 2147–2158

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