Displaying similar documents to “Joint distribution of the busy and idle periods of a discrete modified G I / G I / c / ∞ queue”

On a discrete modified M / G I / c / ∞ queue

Anatolij Dvurečenskij (1987)

Aplikace matematiky

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The busy period distribution of a discrete modified queue M / G I / c / ∞ , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.

A discrete-time queueing system with changes in the vacation times

Ivan Atencia (2016)

International Journal of Applied Mathematics and Computer Science

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This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability...