Abstract
Mixture models arise when at least two different distributions of data sets are presented. In this paper, we introduce the upper and lower bounds for the steady-state performance of a multiserver model of the network node, with Exponential-Pareto mixture distribution of service times. We use the failure rate and stochastic comparison techniques together with coupling of random variables to establish some monotonicity properties of the model. These theoretical results are illustrated by numerical simulation of GI/G/N queueing systems.
This research is supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 05.577.21.0293, unique identifier RFMEFI57718X0293). The research is supported by Russian Foundation for Basic Research, projects No. 19-57-45022, 19-07-00303, 18-07-00156, 18-07-00147.
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Peshkova, I., Morozov, E., Maltseva, M. (2020). On Comparison of Multiserver Systems with Exponential-Pareto Mixture Distribution. In: Gaj, P., Gumiński, W., Kwiecień, A. (eds) Computer Networks. CN 2020. Communications in Computer and Information Science, vol 1231. Springer, Cham. https://doi.org/10.1007/978-3-030-50719-0_11
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