About: Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the paper we introduce a mathematical model of a finite multi-server Markov queueing system M/M/n/m with servers which are subject to breakdowns. We assume that broken server is being repaired by a single repairman, where the number of repairmen is less than the number of the system servers. The system is modelled as a two-dimensional Markov process presented by a state transition diagram and a finite system of linear equations that describes the behaviour of the system in steady state. The steady state probabilities are obtained by numerical solving by means of Matlab. On the basis of the steady state probabilities we can compute several performance measures. The mathematical model is supported by a coloured Petri net model in order to validate the analytical outcomes. Further we present a cost function which can serve as an optimization criterion for the optimization of the studied system parameters. In the paper we introduce a mathematical model of a finite multi-server Markov queueing system M/M/n/m with servers which are subject to breakdowns. We assume that broken server is being repaired by a single repairman, where the number of repairmen is less than the number of the system servers. The system is modelled as a two-dimensional Markov process presented by a state transition diagram and a finite system of linear equations that describes the behaviour of the system in steady state. The steady state probabilities are obtained by numerical solving by means of Matlab. On the basis of the steady state probabilities we can compute several performance measures. The mathematical model is supported by a coloured Petri net model in order to validate the analytical outcomes. Further we present a cost function which can serve as an optimization criterion for the optimization of the studied system parameters. (en)
Title	Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns (en)
skos:prefLabel	Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns Cost Analysis of Finite Multi-server Markov Queueing System Subject to Breakdowns (en)
skos:notation	RIV/61989100:27230/11:86079203!RIV14-MSM-27230___
http://linked.open...avai/predkladatel	Fakulta strojní
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Dorda, Michal Teichmann, Dušan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta strojní
http://linked.open...dnocenehoVysledku	192091
http://linked.open...ai/riv/idVysledku	RIV/61989100:27230/11:86079203
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Unreliable M/M/n/m, cost analysis, coloured Petri net (en)
http://linked.open.../riv/klicoveSlovo	Unreliable M/M/n/m coloured Petri net cost analysis
http://linked.open...ontrolniKodProRIV	[A5338275CF95]
http://linked.open...v/mistoKonaniAkce	Janská Dolina
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	29th International Conference Mathematical Methods in Economics 2011 Proceedings
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Dorda, Michal Teichmann, Dušan
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000309074600022
http://linked.open.../riv/zahajeniAkce	2011-09-06 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Professional Publishing
https://schema.org/isbn	978-80-7431-059-1
http://localhost/t...ganizacniJednotka	27230

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 47 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software