Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling

Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling

The paper deals with simultaneous service multi-server system, where customer occupies a random number of servers. The system also admits speed scaling mechanism by switching speed regimes at arrival/departure instants according to the corresponding transition probability matrices. Stability conditi...

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Bibliographic Details
Main Authors: Ruslana Nekrasova, Alexander Rumyantsev
Format: Article
Language:English
Published: FRUCT 2020-04-01
Series:Proceedings of the XXth Conference of Open Innovations Association FRUCT
Subjects:
simultaneous service
speed scaling
matrix-analytic method
stability analysis
regenerative estimation
Online Access:https://www.fruct.org/publications/fruct26/files/Nek.pdf
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spelling doaj-79f475cf597446ebab16d06dc4fb1dc32020-11-25T03:42:09ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372020-04-0126134635110.23919/FRUCT48808.2020.9087351Regenerative Estimation of a Simultaneous Service Multiserver System With Speed ScalingRuslana Nekrasova0Alexander Rumyantsev1Institite of Applied Mathematical Research KarRC RAS, RussiaInstitite of Applied Mathematical Research KarRC RAS, RussiaThe paper deals with simultaneous service multi-server system, where customer occupies a random number of servers. The system also admits speed scaling mechanism by switching speed regimes at arrival/departure instants according to the corresponding transition probability matrices. Stability conditions for Markovian case of such a model were derived. Results of regenerative confidence estimation for the system in steady-state regime are presented.https://www.fruct.org/publications/fruct26/files/Nek.pdfsimultaneous servicespeed scalingmatrix-analytic methodstability analysisregenerative estimation
collection DOAJ
language English
format Article
sources DOAJ
author Ruslana Nekrasova
Alexander Rumyantsev
spellingShingle Ruslana Nekrasova
Alexander Rumyantsev
Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
Proceedings of the XXth Conference of Open Innovations Association FRUCT
simultaneous service
speed scaling
matrix-analytic method
stability analysis
regenerative estimation
author_facet Ruslana Nekrasova
Alexander Rumyantsev
author_sort Ruslana Nekrasova
title Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
title_short Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
title_full Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
title_fullStr Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
title_full_unstemmed Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling
title_sort regenerative estimation of a simultaneous service multiserver system with speed scaling
publisher FRUCT
series Proceedings of the XXth Conference of Open Innovations Association FRUCT
issn 2305-7254
2343-0737
publishDate 2020-04-01
description The paper deals with simultaneous service multi-server system, where customer occupies a random number of servers. The system also admits speed scaling mechanism by switching speed regimes at arrival/departure instants according to the corresponding transition probability matrices. Stability conditions for Markovian case of such a model were derived. Results of regenerative confidence estimation for the system in steady-state regime are presented.
topic simultaneous service
speed scaling
matrix-analytic method
stability analysis
regenerative estimation
url https://www.fruct.org/publications/fruct26/files/Nek.pdf
work_keys_str_mv AT ruslananekrasova regenerativeestimationofasimultaneousservicemultiserversystemwithspeedscaling
AT alexanderrumyantsev regenerativeestimationofasimultaneousservicemultiserversystemwithspeedscaling
_version_ 1724526853279973376

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