Asymptotic Stationary Probability Distribution of Total Amount of Physics Experimental Data

摘要

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.