Modeling of Mathematical Processing of Physics Experimental Data in the Form of a Non-Markovian Multi-Resource Queuing System
- 作者: Lisovskaya E.1, Moiseev A.1, Moiseeva S.1, Pagano M.2
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隶属关系:
- National Research Tomsk State University
- University of Pisa
- 期: 卷 61, 编号 12 (2019)
- 页面: 2188-2196
- 栏目: 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
如何引用文章
详细
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.
作者简介
E. Lisovskaya
National Research Tomsk State University
编辑信件的主要联系方式.
Email: ekaterina_lisovs@mail.ru
俄罗斯联邦, Tomsk
A. Moiseev
National Research Tomsk State University
Email: ekaterina_lisovs@mail.ru
俄罗斯联邦, Tomsk
S. Moiseeva
National Research Tomsk State University
Email: ekaterina_lisovs@mail.ru
俄罗斯联邦, Tomsk
M. Pagano
University of Pisa
Email: ekaterina_lisovs@mail.ru
意大利, Pisa