Heterogeneous system GI/GI(n)/∞ with random customers capacities
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 b...
| Published in: | Applied probability and stochastic processes P. 507-521 |
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| Other Authors: | , , , |
| Format: | Book Chapter |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000702736 Перейти в каталог НБ ТГУ |
| Summary: | 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. |
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| Bibliography: | Библиогр.: 16 назв. |
| ISBN: | 9789811559501 9789811559518 |