Heterogeneous system GI/GI(n)/∞ with random customers capacities

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DOI Доступ к ресурсу на сайте издателя			10.1007/978-981-15-5951-8_30

Title: Heterogeneous system GI/GI(n)/∞ with random customers capacities
Creator: Lisovskaya, Ekaterina Yu.
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Moiseeva, Svetlana P.
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Pagano, Michele
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Pankratova, Ekaterina V.
Date: 2020
DOI: 10.1007/978-981-15-5951-8_30
Description: 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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collection(s): Институт прикладной математики и компьютерных наук (c 01.09.2017 г.)
Identifier: смотреть в электронном каталоге НБ ТГУ
Type: статьи в сборниках
Source: Applied probability and stochastic processes. Singapore, 2020. P. 507-521
Language: eng

Created: 10-08-2021

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