FLUID QUEUES DRIVEN BY A DISCOURAGED ARRIVALS QUEUE

FLUID QUEUES DRIVEN BY A DISCOURAGED ARRIVALS QUEUE

We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are p...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2003, Vol.2003 (24), p.1509-1528-111
Hauptverfasser: Parthasarathy, P. R., Vijayashree, K. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are presented to compare the behaviour of the buffer content distributions for both these models.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171203203203