Stability criterion of a multiserver model with simultaneous service
Alexander Rumyantsev
1, 2
,
Evsey Morozov
1, 2
1
Publication type: Journal Article
Publication date: 2015-06-10
scimago Q1
wos Q1
SJR: 1.092
CiteScore: 9.8
Impact factor: 4.5
ISSN: 02545330, 15729338
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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Metrics
48
Total citations:
48
Citations from 2025:
7
(14.58%)
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GOST
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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)
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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.
Cite this
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 -
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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}
}
Cite this
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.