This article is cited in 11 papers

Communication Network Theory

Generalization of formulas for queue length moments under nonordinary Poissonian arrivals for batch queues in telecommunication systems

B. Ya. Lichtzinder^a, A. Yu. Privalov<sup>ba

a</sup> Povolzhskiy State University of Telecommunications and Informatics
^b Samara State Aerospace University

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.

Keywords: queueing system, nonordinary arrival flow, queue length moments, interval method for queue analysis, batch data transmission.

UDC: 621.391 : 519.872.6


Revised: 03.02.2024
Accepted: 08.02.2024

DOI: 10.31857/S0555292323040046

 English version: Problems of Information Transmission, 2023, 59:4, 243–248