Modeling of Mathematical Processing of Physics Experimental Data in the Form of a Non-Markovian Multi-Resource Queuing System
- Авторы: Lisovskaya E.1, Moiseev A.1, Moiseeva S.1, Pagano M.2
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Учреждения:
- National Research Tomsk State University
- University of Pisa
- Выпуск: Том 61, № 12 (2019)
- Страницы: 2188-2196
- Раздел: Mathematical Processing of Physics Experimental Data
- URL: https://journals.rcsi.science/1064-8887/article/view/241322
- DOI: https://doi.org/10.1007/s11182-019-01655-6
- ID: 241322
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Аннотация
The paper presents a mathematical model for processing of physics experimental data in the form of a non-Markovian 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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Об авторах
E. Lisovskaya
National Research Tomsk State University
Автор, ответственный за переписку.
Email: ekaterina_lisovs@mail.ru
Россия, Tomsk
A. Moiseev
National Research Tomsk State University
Email: ekaterina_lisovs@mail.ru
Россия, Tomsk
S. Moiseeva
National Research Tomsk State University
Email: ekaterina_lisovs@mail.ru
Россия, Tomsk
M. Pagano
University of Pisa
Email: ekaterina_lisovs@mail.ru
Италия, Pisa