Heterogeneous system MMPP/GI(2)/∞ with random customers capacities

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Heterogeneous system MMPP/GI(2)/∞ with random customers capacities	184 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.17516/1997-1397-2019-12-2-231-239

Title: Heterogeneous system MMPP/GI(2)/∞ with random customers capacities
Title: Ресурсные неоднородные СМО MMPP/GI(2)/∞
Creator: Moiseeva, Svetlana P.
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Farhadov, Mais P.
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Moiseev, Alexander N.
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Pankratova, Ekaterina V.
Date: 2019
DOI: 10.17516/1997-1397-2019-12-2-231-239
Description: A heterogeneous queuing system with an infinite number of servers is considered in this paper. Customers arrive in the system according to a Markov Modulated Poisson Process. The type of incoming customer is defined as i-type with probability pi (i = 1, 2). Each customer carries a random quantity of work (capacity of the customer). In this study service time does not depend on the customers capacities. It is shown that the joint probability distribution of the customers number and total capacities in the system is multidimensional Gaussian distribution under the asymptotic condition of an infinitely growing service time. Simulation results allow us to determine an applicability area of the asymptotic result.

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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 журналах
Source: Journal of Siberian Federal University. Mathematics and Physics. 2019. Vol. 12, № 2. P. 231-239
Language: eng

Created: 14-05-2020

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