About: M/En/1/m queuing system subject to catastrophes

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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
rdfs:seeAlso	http://mme2014.upol.cz/downloads/MME_2014_Proceedings.pdf
Description	The paper is focused on a finite single-server queuing system with a server subject to so-called catastrophes. The catastrophes represent a special type of failures that cause emptying the system (all the customers found in the system are flushed out of the system). When the server is up, the customers arrive according to a Poisson input process with the parameter λ > 0. When the server is under repair (down), all the arriving customers refuse to enter the system because they are not willing to wait. The customer’s service time is assumed to be Erlang distributed with the shape parameter n and the scale parameter nμ. That means the service process of each customer consists of n exponentially distributed phases and the customer is served after finishing the last phase of the service process. Times between catastrophes are exponentially distributed with the parameter η; times to repair are also exponentially distributed, but with the parameter ζ. In the paper we present a mathematical model of the studied queuing system that enables to numerically calculate steady-state probabilities. We discuss some performance measures of the system and some possible modifications of the studied queuing system. Some numerical results are presented in the paper. The paper is focused on a finite single-server queuing system with a server subject to so-called catastrophes. The catastrophes represent a special type of failures that cause emptying the system (all the customers found in the system are flushed out of the system). When the server is up, the customers arrive according to a Poisson input process with the parameter λ > 0. When the server is under repair (down), all the arriving customers refuse to enter the system because they are not willing to wait. The customer’s service time is assumed to be Erlang distributed with the shape parameter n and the scale parameter nμ. That means the service process of each customer consists of n exponentially distributed phases and the customer is served after finishing the last phase of the service process. Times between catastrophes are exponentially distributed with the parameter η; times to repair are also exponentially distributed, but with the parameter ζ. In the paper we present a mathematical model of the studied queuing system that enables to numerically calculate steady-state probabilities. We discuss some performance measures of the system and some possible modifications of the studied queuing system. Some numerical results are presented in the paper. (en)
Title	M/En/1/m queuing system subject to catastrophes M/En/1/m queuing system subject to catastrophes (en)
skos:prefLabel	M/En/1/m queuing system subject to catastrophes M/En/1/m queuing system subject to catastrophes (en)
skos:notation	RIV/61989100:27230/14:86091642!RIV15-MSM-27230___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2015
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	28323
http://linked.open...ai/riv/idVysledku	RIV/61989100:27230/14:86091642
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Matlab; catastrophes; queuing; M/En/1/m (en)
http://linked.open.../riv/klicoveSlovo	Matlab M/En/1/m queuing catastrophes
http://linked.open...ontrolniKodProRIV	[3DD1406CAB1C]
http://linked.open...v/mistoKonaniAkce	Olomouc
http://linked.open...i/riv/mistoVydani	Olomouc
http://linked.open...i/riv/nazevZdroje	Mathematical Methods in Economics, MME 2014 : 32nd international conference : September 10-12, 2014, Olomouc, Czech Republic : conference proceedings
http://linked.open...in/vavai/riv/obor	JO
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Dorda, Michal Teichmann, Dušan
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2014-09-10 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Univerzita Palackého v Olomouci
https://schema.org/isbn	978-80-244-4209-9
http://localhost/t...ganizacniJednotka	27230

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