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  • The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customers interarrival times and customers service times follow the Erlang distribution defined by the shape parameter r or s and the scale parameter rλ or sμ respectively. We consider that server failures can occur when the server is either idle or busy (so called operate-independent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure and the system empties when the server is broken (we call it as the failure-empty discipline). We assume that random variables relevant to server failures and repairs are exponentially distributed. We use two approaches - analytical approach using method of stages and simulation approach using coloured Petri nets. We use both approaches to compare and validation created models. At the end of the paper some reached results are shown.
  • The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customers interarrival times and customers service times follow the Erlang distribution defined by the shape parameter r or s and the scale parameter rλ or sμ respectively. We consider that server failures can occur when the server is either idle or busy (so called operate-independent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure and the system empties when the server is broken (we call it as the failure-empty discipline). We assume that random variables relevant to server failures and repairs are exponentially distributed. We use two approaches - analytical approach using method of stages and simulation approach using coloured Petri nets. We use both approaches to compare and validation created models. At the end of the paper some reached results are shown. (en)
Title
  • About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns
  • About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns (en)
skos:prefLabel
  • About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns
  • About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns (en)
skos:notation
  • RIV/61989100:27230/12:86083521!RIV13-MSM-27230___
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  • 120769
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  • RIV/61989100:27230/12:86083521
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  • Petri net; disasters; breakdowns; queueing; Er/Es/1/m (en)
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  • [95E9370EBADD]
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  • Proceedings of 30th International Conference Mathematical Methods in Economics : 11-13 September 2012, Karviná, Czech Republic
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  • Dorda, Michal
  • Teichmann, Dušan
http://linked.open...vavai/riv/typAkce
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number of pages
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  • Slezská univerzita v Opavě
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  • 978-80-7248-779-0
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  • 27230
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