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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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 39–46, December, 2018.
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Lisovskaya, E.Y., Moiseev, A.N., Moiseeva, S.P. et al. Modeling of Mathematical Processing of Physics Experimental Data in the Form of a Non-Markovian Multi-Resource Queuing System. Russ Phys J 61, 2188–2196 (2019). https://doi.org/10.1007/s11182-019-01655-6
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DOI: https://doi.org/10.1007/s11182-019-01655-6