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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W. Wolf, Computer, No. 3, 88–89 (2009).
L. Brown, N. Gans, A. Mandelbaum, et al., J. Am. Statist. Associat., 100, No. 469, 36–50 (2005).
V. Naumov, K. Samouylov, E. Sopin, and S. Andreev, in: Proc. 6th Int. Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), IEEE (2014), pp. 485–488.
A. V. Pechinkin, Autom. Telemech., No. 4, 106–116 (1998).
A. V. Gorbunova, V. A. Naumov, Yu. V. Gaidamaka, and K. E. Samuilov, Inform. Ee Pril., 12, No. 3, 48–55 (2018).
A. V. Gorbunova, V. A. Naumov, Yu. V. Gaidamaka, and K. E. Samuilov, Inform. Ee Pril., 13, No. 1, 99–107 (2019).
V. O. Begishev, A. K. Samuilov, D. A. Molchanov, and K. E. Samuilov, Sist. Sredstva Inform., 27, No. 4, 64–79 (2017).
E. Yu. Lisovskaya, A. N. Moiseev, S. P. Moiseeva, and M. Pagano, Russ. Phys. J., 61, No. 12, 2188–2196 (2018).
A. A. Nazarov and A. N. Moiseev, Russ. Phys. J., 57, No. 7, 984–990 (2014).
V. A. Naumov, K. E. Samuilov, and A. K. Samuilov, Avtom. Telemekh., No. 8, 125–135 (2016).
S. P. Sushchenko and R. V. Tkachev, Izv. Vyssh. Uchebn. Zaved. Fiz., 58, No. 11/2, 220–224 (2015).
A. N. Moiseev and A. A. Nazarov, Infinitely Linear Systems and Queuing Networks [in Russian], Publishing House of Scientific and Technology Literature, Tomsk (2015).
M. A. Shklennik and A. N. Moiseev, Russ. Phys. J., 62, No. 3, 553–560 (2019).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 26–33, October, 2019.
Rights and permissions
About this article
Cite this article
Galileyskaya, A.A., Lisovskaya, E.Y., Moiseeva, S.P. et al. Asymptotic Stationary Probability Distribution of Total Amount of Physics Experimental Data. Russ Phys J 62, 1779–1788 (2020). https://doi.org/10.1007/s11182-020-01906-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-020-01906-x