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Asymptotic stationary probability distribution of total amount of physics experimental data A. A. Galileyskaya, E. Yu. Lisovskaya, S. P. Moiseeva, E. Yu. Danilyuk

Contributor(s): Lisovskaya, Ekaterina Yu | Moiseeva, Svetlana P | Danilyuk, Elena Yu | Galileyskaya, Anastasia AMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): системы массововго обслуживания | асимптотическое стационарное распределение вероятностей | экспериментальные данные | физика | математические моделиGenre/Form: статьи в журналах Online resources: Click here to access online In: Russian physics journal Vol. 62, № 10. P. 1779-1788Abstract: A mathematical model has been constructed for processing of physics experimental data in the form of a twophase resource queuing system with MMPP arrivals, general service time, and customers copying at the second phase. It is proved that the joint stationary probability distribution of the total amount of resources occupied at each block of the system converges to a three-dimensional Gaussian distribution under the asymptotic condition of the increasing intensity of the arrival process. The parameters of this asymptotic distribution are obtained.
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A mathematical model has been constructed for processing of physics experimental data in the form of a twophase
resource queuing system with MMPP arrivals, general service time, and customers copying at the
second phase. It is proved that the joint stationary probability distribution of the total amount of resources
occupied at each block of the system converges to a three-dimensional Gaussian distribution under the
asymptotic condition of the increasing intensity of the arrival process. The parameters of this asymptotic
distribution are obtained.

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