M/M/1 Multiple Vacation Queueing Systems with Differentiated Vacations

M/M/1 Multiple Vacation Queueing Systems with Differentiated Vacations

We consider a multiple vacation queueing system in which a vacation following a busy period has a different distribution from a vacation that is taken without serving at least one customer. For ease of analysis it is assumed that the service times are exponentially distributed and the two vacation t...

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Veröffentlicht in:Modelling and Simulation in Engineering 2014-01, Vol.2014 (2014), p.35-40
Hauptverfasser: Ibe, Oliver C., Isijola, Olubukola A.
Format: Artikel
Sprache:eng
Schlagworte:
Computer simulation
Customer services
File servers
Mathematical models
Methods
Modelling
Novels
Queues
Queuing theory
Vacations
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Zusammenfassung:We consider a multiple vacation queueing system in which a vacation following a busy period has a different distribution from a vacation that is taken without serving at least one customer. For ease of analysis it is assumed that the service times are exponentially distributed and the two vacation types are also exponentially distributed but with different means. The steady-state solution is obtained.
ISSN:1687-5591
1687-5605
DOI:10.1155/2014/158247