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Extension of the Class of Queueing Systems with Delay

  • Stochastic Systems
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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.

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Authors and Affiliations

  1. Povolzhskiy State University of Telecommunications and Informatics, Samara, Russia

    V. N. Tarasov

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  1. V. N. Tarasov
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Correspondence to V. N. Tarasov.

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Original Russian Text © V.N. Tarasov, 2018, published in Avtomatika i Telemekhanika, 2018, No. 12, pp. 57–70.

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Tarasov, V.N. Extension of the Class of Queueing Systems with Delay. Autom Remote Control 79, 2147–2158 (2018). https://doi.org/10.1134/S0005117918120056

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  • DOI: https://doi.org/10.1134/S0005117918120056

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