Asymptotic Analysis of RQ-System with Feedback and Batch Poisson Arrival Under the Condition of Increasing Average Waiting Time in Orbit; Communications in Computer and Information Science; Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020
| Parent link: | Communications in Computer and Information Science Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020.— 2020.— [P. 327-329] |
|---|---|
| 第一著者: | |
| 団体著者: | |
| その他の著者: | , |
| 要約: | Title screen The paper studies the retrial queueing system M [n] /M/1 with feedback and batch Poisson arrival. Customers for the system come in groups. Not more than one customer is served at once, others wait in the orbit. Having been served, the customer leaves the system or goes to re-service or into the orbit. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. A long delay between customers from the orbit is proposed as an asymptotic condition. It is proved that the asymptotic probability distribution of the number of customers in the orbit is Gaussian. As a result the parameters of this distribution are obtained. The calculations to determine the range of the method applicability are carried out. The accuracy of the approximation is compared to numerical results obtained by matrix method. Режим доступа: по договору с организацией-держателем ресурса |
| 言語: | 英語 |
| 出版事項: |
2020
|
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-030-66242-4_26 |
| フォーマット: | 電子媒体 図書の章 |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665541 |
MARC
| LEADER | 00000naa0a2200000 4500 | ||
|---|---|---|---|
| 001 | 665541 | ||
| 005 | 20250818125933.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\36740 | ||
| 035 | |a RU\TPU\network\35076 | ||
| 090 | |a 665541 | ||
| 100 | |a 20211015d2020 k||y0engy50 ba | ||
| 101 | 0 | |a eng | |
| 135 | |a drcn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a Asymptotic Analysis of RQ-System with Feedback and Batch Poisson Arrival Under the Condition of Increasing Average Waiting Time in Orbit |f A. A. Nazarov, S. V. Rozhkova, E. Yu. Titarenko | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 13 tit.] | ||
| 330 | |a The paper studies the retrial queueing system M [n] /M/1 with feedback and batch Poisson arrival. Customers for the system come in groups. Not more than one customer is served at once, others wait in the orbit. Having been served, the customer leaves the system or goes to re-service or into the orbit. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. A long delay between customers from the orbit is proposed as an asymptotic condition. It is proved that the asymptotic probability distribution of the number of customers in the orbit is Gaussian. As a result the parameters of this distribution are obtained. The calculations to determine the range of the method applicability are carried out. The accuracy of the approximation is compared to numerical results obtained by matrix method. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Communications in Computer and Information Science | ||
| 463 | |t Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020 |o 23rd International Conference, Moscow, Russia, September 14-18, 2020, Revised Selected Papers |v [P. 327-329] |d 2020 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a queuing system | |
| 610 | 1 | |a RQ system | |
| 610 | 1 | |a batch arrival | |
| 610 | 1 | |a feedback | |
| 610 | 1 | |a asymptotic analysis | |
| 610 | 1 | |a массовое обслуживание | |
| 610 | 1 | |a системы | |
| 610 | 1 | |a RQ-системы | |
| 610 | 1 | |a обратная связь | |
| 610 | 1 | |a асимптотический анализ | |
| 700 | 1 | |a Nazarov |b A. A. |g Aleksandr Anatoljevich | |
| 701 | 1 | |a Rozhkova |b S. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of Physical and Mathematical Sciences |f 1971- |g Svetlana Vladimirovna |3 (RuTPU)RU\TPU\pers\34139 |9 17679 | |
| 701 | 1 | |a Titarenko |b E. Yu. |c mathematician |c senior lecturer of Tomsk Polytechnic University |f 1975- |g Ekaterina Yurievna |3 (RuTPU)RU\TPU\pers\34655 |9 18017 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Школа базовой инженерной подготовки |b Отделение математики и информатики |3 (RuTPU)RU\TPU\col\23555 |
| 801 | 2 | |a RU |b 63413507 |c 20211015 |g RCR | |
| 856 | 4 | |u https://doi.org/10.1007/978-3-030-66242-4_26 | |
| 942 | |c CF | ||