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1 Kempa W. M. W. M.

1 2008

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On the queue-length distribution in the GIX/G/1 system with server vacations and exhaustive service

Kempa W. M. W. M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2008

Vol. 7, nr 2

23-30

In the article the GIX /G/ 1 queueing system with server vacations and exhaustive service is investigated. For single and multiple vacations the queue-length transient distribution is studied first for a certain simplified system. Using the formula of total probability we direct the analysis to that for the system without vacations. The general case is obtained by applying the renewal theory approach. Explicit representations for Laplace transforms of queue-size distributions in systems with single and multiple vacations are obtained.