Standard

Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks. / Krivulin, N. K.

Proc. MATHMOD 09 Vienna Full Papers CD Volume. ed. / I. Troch; F. Breitenecker. ARGESIM, 2009. p. 279.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Krivulin, NK 2009, Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks. in I Troch & F Breitenecker (eds), Proc. MATHMOD 09 Vienna Full Papers CD Volume. ARGESIM, pp. 279. <http://www.math.spbu.ru/user/krivulin/Publs/VMM20091.pdf>

APA

Krivulin, N. K. (2009). Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks. In I. Troch, & F. Breitenecker (Eds.), Proc. MATHMOD 09 Vienna Full Papers CD Volume (pp. 279). ARGESIM. http://www.math.spbu.ru/user/krivulin/Publs/VMM20091.pdf

Vancouver

Krivulin NK. Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks. In Troch I, Breitenecker F, editors, Proc. MATHMOD 09 Vienna Full Papers CD Volume. ARGESIM. 2009. p. 279

Author

Krivulin, N. K. / Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks. Proc. MATHMOD 09 Vienna Full Papers CD Volume. editor / I. Troch ; F. Breitenecker. ARGESIM, 2009. pp. 279

BibTeX

@inproceedings{69ce519bff9a4094a87f8cce3229afb5,
title = "Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks",
abstract = "The problem of evaluation of Lyapunov exponent in queueing network analysis is considered based on models and methods of idempotent algebra. General existence conditions for Lyapunov exponent to exist in generalized linear stochastic dynamic systems are given, and examples of evaluation of the exponent for systems with matrices of particular types are presented. A method which allow one to get the exponent is proposed based on some appropriate decomposition of the system matrix. A general approach to modeling of a wide class of queueing networks is taken to provide for models in the form of stochastic dynamic systems. It is shown how to find the mean service cycle time for the networks through the evaluation of Lyapunov exponent for their associated dynamic systems. As an illustration, the mean service time is evaluated for some systems including open and closed tandem queues with finite and infinite buffers, fork-join networks, and systems with round-robin routing.",
author = "Krivulin, {N. K.}",
note = "Krivulin N. K. Evaluation of Lyapunov exponent in generalized linear dynamic models of queueing networks. In I. Troch, F. Breitenecker (eds). Proceedings MATHMOD 09 Vienna Abstract Volume. Vienna: AGRESIM Publishing House, 2009. P. 279.",
year = "2009",
language = "English",
isbn = "978-3-901608-35-3",
pages = "279",
editor = "I. Troch and F. Breitenecker",
booktitle = "Proc. MATHMOD 09 Vienna Full Papers CD Volume",
publisher = "ARGESIM",
address = "Austria",

}

RIS

TY - GEN

T1 - Evaluation of Lyapunov exponent in generalized linear dynamical models of queueing networks

AU - Krivulin, N. K.

N1 - Krivulin N. K. Evaluation of Lyapunov exponent in generalized linear dynamic models of queueing networks. In I. Troch, F. Breitenecker (eds). Proceedings MATHMOD 09 Vienna Abstract Volume. Vienna: AGRESIM Publishing House, 2009. P. 279.

PY - 2009

Y1 - 2009

N2 - The problem of evaluation of Lyapunov exponent in queueing network analysis is considered based on models and methods of idempotent algebra. General existence conditions for Lyapunov exponent to exist in generalized linear stochastic dynamic systems are given, and examples of evaluation of the exponent for systems with matrices of particular types are presented. A method which allow one to get the exponent is proposed based on some appropriate decomposition of the system matrix. A general approach to modeling of a wide class of queueing networks is taken to provide for models in the form of stochastic dynamic systems. It is shown how to find the mean service cycle time for the networks through the evaluation of Lyapunov exponent for their associated dynamic systems. As an illustration, the mean service time is evaluated for some systems including open and closed tandem queues with finite and infinite buffers, fork-join networks, and systems with round-robin routing.

AB - The problem of evaluation of Lyapunov exponent in queueing network analysis is considered based on models and methods of idempotent algebra. General existence conditions for Lyapunov exponent to exist in generalized linear stochastic dynamic systems are given, and examples of evaluation of the exponent for systems with matrices of particular types are presented. A method which allow one to get the exponent is proposed based on some appropriate decomposition of the system matrix. A general approach to modeling of a wide class of queueing networks is taken to provide for models in the form of stochastic dynamic systems. It is shown how to find the mean service cycle time for the networks through the evaluation of Lyapunov exponent for their associated dynamic systems. As an illustration, the mean service time is evaluated for some systems including open and closed tandem queues with finite and infinite buffers, fork-join networks, and systems with round-robin routing.

UR - https://www.argesim.org/fileadmin/user_upload_argesim/ARGESIM_Publications_OA/MATHMOD_Publications_OA/MATHMOD_2009_AR34_35/arep.34.pdf

M3 - Conference contribution

SN - 978-3-901608-35-3

SP - 279

BT - Proc. MATHMOD 09 Vienna Full Papers CD Volume

A2 - Troch, I.

A2 - Breitenecker, F.

PB - ARGESIM

ER -

ID: 4409255