This analysis highlights the limits of empirical relationships for average queue length in queues based on fractal shot process input, suggesting implications for network systems.
Conclusions are formulated about the applicability limits of previously obtained empirical relationships that allow analytical calculation of the average queue length estimate in a queuing system with an incoming flow in the form of a fractal shot process (FSNDP). Brief overviews of network traffic modeling in client-server systems based on the FSNDP process, the structure of the process itself, and the approach used to obtain the analytical relationships are also given.
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Sokolov et al. (2025) studied this question.
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