Annals of Operations Research, volume 252, issue 1, pages 29-39

Stability criterion of a multiserver model with simultaneous service

Alexander Rumyantsev ^{1, 2}

Evsey Morozov ^{1, 2}

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

Institute of Applied Mathematical Research of the Karelian Research Centre of the Russian Academy of Sciences

Karelian Research Centre of the Russian Academy of Sciences

Petrozavodsk State University, Petrozavodsk, Russia |

Publication type: Journal Article

Publication date: 2015-06-10

Springer Nature

Journal: Annals of Operations Research

scimago Q1

SJR: 1.019

CiteScore: 7.9

Impact factor: 4.4

ISSN: 02545330, 15729338

DOI: 10.1007/s10479-015-1917-2

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Management Science and Operations Research

General Decision Sciences

Abstract

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.

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CITATIONS

51 Total citations

14 Recent citations

18 Field Citation Ratio

n/a Relative Citation Ratio

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GOST Copy

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.

GOST all authors (up to 50) Copy

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 |

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RIS Copy

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 |

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BibTex (up to 50 authors) Copy

@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

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MLA Copy

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.

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Publisher

Springer Nature

Journal

Annals of Operations Research

scimago Q1

SJR

1.019

CiteScore

7.9

Impact factor

4.4

ISSN

02545330 (Print)

15729338 (Electronic)

Labs

Laboratory of Stochastic modeling of Information computing and Telecommunication Systems

Profiles

Morozov, Evsey V
Rumyantsev, Alexander Sergeevich