Annals of Operations Research

, том 252 , издание 1 , страницы 29-39

Stability criterion of a multiserver model with simultaneous service

Alexander Rumyantsev ^{1, 2}

Evsey Morozov ^{1, 2}

Скрыть аффилиации авторов Показать аффилиации авторов: 2 аффилиации

Institute of Applied Mathematical Research, Karelian Research Centre, RAS, Petrozavodsk, Russia

Институт прикладных математических исследований КарНЦ РАН

ФИЦ Карельский научный центр РАН

Petrozavodsk State University, Petrozavodsk, Russia |

Тип публикации: Journal Article

Дата публикации: 2015-06-10

Springer Nature

Annals of Operations Research

scimago Q1

wos Q1

БС1

SJR: 1.092

CiteScore: 9.8

Impact factor: 4.5

ISSN: 02545330, 15729338

DOI: 10.1007/s10479-015-1917-2

Скопировать DOI

Management Science and Operations Research

General Decision Sciences

Краткое описание

In this paper, we study a multiserver system in which each customer requires a random number of servers simultaneously and a random but identical service time at all occupied servers. This model describes the dynamics of modern high performance clusters. Stability criteria of this system (under exponential assumptions) have been proved earlier for the two-server system only. Using a matrix-analytic approach, we obtain stability criteria of such a system under exponential assumptions and with an arbitrary number of servers.

Найдено

15 цитирований

Румянцев Александр

🥼

д.ф.-м.н.

64 публикации, 262 цитирования, 48 рецензий

Индекс Хирша: 7

Петрозаводский государственный университет

Институт прикладных математических исследований КарНЦ РАН

ФИЦ Карельский научный центр РАН

Области научных интересов

Stochastic Modelling

Интернет вещей

Компьютерные науки

Прикладная математика

Распределенные вычисления

Стохастическое моделирование

Суперкомпьютеры

Теория массового обслуживания

6 цитирований

Морозов Евсей

д.ф.-м.н., проф.

107 публикаций, 563 цитирования

Индекс Хирша: 13

Московский государственный университет имени М.В. Ломоносова

Петрозаводский государственный университет

Институт прикладных математических исследований КарНЦ РАН

5 цитирований

Головин Александр

16 публикаций, 30 цитирований

Индекс Хирша: 4

Петрозаводский государственный университет

Институт прикладных математических исследований КарНЦ РАН

Области научных интересов

Распределенные вычисления

Стохастическое моделирование

Теория массового обслуживания

3 цитирования

Пешкова Ирина

26 публикаций, 45 цитирований, 3 рецензии

Индекс Хирша: 4

ФИЦ Карельский научный центр РАН

Институт прикладных математических исследований КарНЦ РАН

Топ-30

Журналы

	1 2 3 4 5
Communications in Computer and Information Science	Communications in Computer and Information Science, 5, 10.42% Communications in Computer and Information Science 5 публикаций, 10.42%
Performance Evaluation Review	Performance Evaluation Review, 5, 10.42% Performance Evaluation Review 5 публикаций, 10.42%
Performance Evaluation	Performance Evaluation, 5, 10.42% Performance Evaluation 5 публикаций, 10.42%
Queueing Systems	Queueing Systems, 3, 6.25% Queueing Systems 3 публикации, 6.25%
Lecture Notes in Computer Science	Lecture Notes in Computer Science, 2, 4.17% Lecture Notes in Computer Science 2 публикации, 4.17%
Annals of Operations Research	Annals of Operations Research, 2, 4.17% Annals of Operations Research 2 публикации, 4.17%
Proceedings of the ACM on Measurement and Analysis of Computing Systems	Proceedings of the ACM on Measurement and Analysis of Computing Systems, 2, 4.17% Proceedings of the ACM on Measurement and Analysis of Computing Systems 2 публикации, 4.17%
Cluster Computing	Cluster Computing, 2, 4.17% Cluster Computing 2 публикации, 4.17%
Simulation Modelling Practice and Theory	Simulation Modelling Practice and Theory, 1, 2.08% Simulation Modelling Practice and Theory 1 публикация, 2.08%
Journal of Parallel and Distributed Computing	Journal of Parallel and Distributed Computing, 1, 2.08% Journal of Parallel and Distributed Computing 1 публикация, 2.08%
Advances in Intelligent Systems and Computing	Advances in Intelligent Systems and Computing, 1, 2.08% Advances in Intelligent Systems and Computing 1 публикация, 2.08%
Theory of Probability and its Applications	Theory of Probability and its Applications, 1, 2.08% Theory of Probability and its Applications 1 публикация, 2.08%
Operations-Research-Spektrum	Operations-Research-Spektrum, 1, 2.08% Operations-Research-Spektrum 1 публикация, 2.08%
Methodology and Computing in Applied Probability	Methodology and Computing in Applied Probability, 1, 2.08% Methodology and Computing in Applied Probability 1 публикация, 2.08%
Теория вероятностей и ее применения	Теория вероятностей и ее применения, 1, 2.08% Теория вероятностей и ее применения 1 публикация, 2.08%
Discrete and Continuous Models and Applied Computational Science	Discrete and Continuous Models and Applied Computational Science, 1, 2.08% Discrete and Continuous Models and Applied Computational Science 1 публикация, 2.08%
Stochastic Systems	Stochastic Systems, 1, 2.08% Stochastic Systems 1 публикация, 2.08%
IEEE Transactions on Parallel and Distributed Systems	IEEE Transactions on Parallel and Distributed Systems, 1, 2.08% IEEE Transactions on Parallel and Distributed Systems 1 публикация, 2.08%
Journal of the Indian Society for Probability and Statistics	Journal of the Indian Society for Probability and Statistics, 1, 2.08% Journal of the Indian Society for Probability and Statistics 1 публикация, 2.08%
Mathematics	Mathematics, 1, 2.08% Mathematics 1 публикация, 2.08%
	1 2 3 4 5

Издатели

	2 4 6 8 10 12 14 16 18
Springer Nature	Springer Nature, 18, 37.5% Springer Nature 18 публикаций, 37.5%
Association for Computing Machinery (ACM)	Association for Computing Machinery (ACM), 11, 22.92% Association for Computing Machinery (ACM) 11 публикаций, 22.92%
Elsevier	Elsevier, 7, 14.58% Elsevier 7 публикаций, 14.58%
Institute of Electrical and Electronics Engineers (IEEE)	Institute of Electrical and Electronics Engineers (IEEE), 6, 12.5% Institute of Electrical and Electronics Engineers (IEEE) 6 публикаций, 12.5%
Society for Industrial and Applied Mathematics (SIAM)	Society for Industrial and Applied Mathematics (SIAM), 1, 2.08% Society for Industrial and Applied Mathematics (SIAM) 1 публикация, 2.08%
Steklov Mathematical Institute	Steklov Mathematical Institute, 1, 2.08% Steklov Mathematical Institute 1 публикация, 2.08%
Wiley	Wiley, 1, 2.08% Wiley 1 публикация, 2.08%
Peoples' Friendship University of Russia	Peoples' Friendship University of Russia, 1, 2.08% Peoples' Friendship University of Russia 1 публикация, 2.08%
Institute for Operations Research and the Management Sciences (INFORMS)	Institute for Operations Research and the Management Sciences (INFORMS), 1, 2.08% Institute for Operations Research and the Management Sciences (INFORMS) 1 публикация, 2.08%
MDPI	MDPI, 1, 2.08% MDPI 1 публикация, 2.08%
	2 4 6 8 10 12 14 16 18

Мы не учитываем публикации, у которых нет DOI.
Статистика публикаций обновляется еженедельно.

Вы ученый?

Создайте профиль, чтобы получать персональные рекомендации коллег, конференций и новых статей.

Войти с ORCID

Метрики

Цитировать

ГОСТ |

Цитировать

ГОСТ Скопировать

Rumyantsev A. et al. Stability criterion of a multiserver model with simultaneous service // Annals of Operations Research. 2015. Vol. 252. No. 1. pp. 29-39.

ГОСТ со всеми авторами (до 50) Скопировать

Rumyantsev A., Morozov E. Stability criterion of a multiserver model with simultaneous service // Annals of Operations Research. 2015. Vol. 252. No. 1. pp. 29-39.

RIS |

Цитировать

RIS Скопировать

TY - JOUR

DO - 10.1007/s10479-015-1917-2

UR - https://doi.org/10.1007/s10479-015-1917-2

TI - Stability criterion of a multiserver model with simultaneous service

T2 - Annals of Operations Research

AU - Rumyantsev, Alexander

AU - Morozov, Evsey

PY - 2015

DA - 2015/06/10

PB - Springer Nature

SP - 29-39

IS - 1

VL - 252

SN - 0254-5330

SN - 1572-9338

ER -

BibTex |

Цитировать

BibTex (до 50 авторов) Скопировать

@article{2015_Rumyantsev,

author = {Alexander Rumyantsev and Evsey Morozov},

title = {Stability criterion of a multiserver model with simultaneous service},

journal = {Annals of Operations Research},

year = {2015},

volume = {252},

publisher = {Springer Nature},

month = {jun},

url = {https://doi.org/10.1007/s10479-015-1917-2},

number = {1},

pages = {29--39},

doi = {10.1007/s10479-015-1917-2}

}

MLA

Цитировать

MLA Скопировать

Rumyantsev, Alexander, et al. “Stability criterion of a multiserver model with simultaneous service.” Annals of Operations Research, vol. 252, no. 1, Jun. 2015, pp. 29-39. https://doi.org/10.1007/s10479-015-1917-2.