TY  - GEN
AU  - Lisovskaya,Ekaterina Yu
AU  - Moiseeva,Svetlana P.
AU  - Pagano,Michele
AU  - Pankratova,Ekaterina V.
TI  - Heterogeneous system GI/GI(n)/∞ with random customers capacities
KW  - системы массового обслуживания
KW  - Колмогорова интегро-дифференциальные уравнения
KW  - время ожидания
KW  - статьи в сборниках
N1  - Библиогр.: 16 назв
N2  - In the paper, we consider a queuing system with n types of customers. We assume that each customer arrives at the queue according to a renewal process and takes a random resource amount, independent of their service time. We write Kolmogorov integro-differential equation, which, in general, cannot be analytically solved. Hence, we look for the solution under the condition of infinitely growing a service time, and we obtain multi-dimensional asymptotic approximations. We show that the n-dimensional probability distribution of the total resource amounts is asymptotically Gaussian, and we look at its accuracy via Kolmogorov distance
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000702736
ER  -