Modeling of mathematical processing of physics experimental data in the form of a non-Markovian multi-resource queuing system E. Y. Lisovskaya, A. N. Moiseev, S. P. Moiseeva, M. Pagano
Material type:
ArticleSubject(s): системы массового обслуживания | немарковская многоресурсная система массового обслуживания | математические модели | асимптотическое распределениеGenre/Form: статьи в журналах Online resources: Click here to access online
In:
Russian physics journal Vol. 61, № 12. P. 2188-2196Abstract: The paper presents a mathematical model for processing of physics experimental data in the form of a nonMarkovian infinite server multi-resource queuing system with Markov modulated Poisson process arrivals and arbitrary service time. It is proved that the joint steady-state probability distribution of the total volume of the occupied resource of each type converges to a multidimensional Gaussian distribution under the asymptotic condition of the growing intensity of the arrival process. The parameters of this asymptotic distribution are derived.
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The paper presents a mathematical model for processing of physics experimental data in the form of a nonMarkovian infinite server multi-resource queuing system with Markov modulated Poisson process arrivals and arbitrary service time. It is proved that the joint steady-state probability distribution of the total volume of the occupied resource of each type converges to a multidimensional Gaussian distribution under the asymptotic condition of the growing intensity of the arrival process. The parameters of this asymptotic distribution are derived.
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