Generalization of Formulas for Queue Length Moments under Nonordinary Poissonian Arrivals for Batch Queues in Telecommunication Systems

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Abstract

We propose an approach for generalization of formulas previously obtained by the authors for the first and second queue length moments in a queueing system with a nonordinary Poissonian arrival flow, single server, and constant service time to the case of a variable service time. The service time is assumed to be a random variable with a finite set of values. This model is adequate for a vast class of batch transmission systems, since the batch transmission time in real-world systems can take only finitely many values.

About the authors

B. Ya. Likhttsinder

Povolzhskiy State University of Telecommunications and Informatics

Email: b.lihtcinder@psuti.ru
Samara, Russia

A. Yu. Privalov

Korolyov Samara National Research University; Povolzhskiy State University of Telecommunications and Informatics

Author for correspondence.
Email: privalov1967@gmail.com
Samara, Russia; Samara, Russia

References

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