Kuznetsov I.N.
Statistical testing of the hypothesis that the number of customers in queueing system GI/G/∞ has asymptotically normal distribution in heavy traffic

The queueing system G I /G/ ∞ in heavy traffic is considered. Statistical data are generated using Monte Carlo simulation. This article investigates the possibility to use some statistical criteria for testing the hypothesis that the number of customers in the system has an asymptotically normal distribution in its steady state. Numerical examples are given. © 2017, Springer Science+Business Media New York.

Keywords: asymptotically normal distribution, heavy traffic, Monte Carlo method, queueing system, statistical hypothesis, steady-state distribution, Intelligent systems, Normal distribution, Queueing networks, Queueing theory, Heavy traffics, Queueing system, Statistical criterion, Statistical datas, Statistical hypothesis, Statistical testing, Steady state, Steady-state distributions, Monte Carlo methods

Cite:
Kuznetsov I.N. (2017). Statistical testing of the hypothesis that the number of customers in queueing system GI/G/∞ has asymptotically normal distribution in heavy traffic. Cybernetics and Systems Analysis, 53 (3), 138-144. doi: https://doi.org/10.1007/s10559-017-9946-2 http://jnas.nbuv.gov.ua/article/UJRN-0000700167 [In Russian].