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STABILITY CONDITIONS FOR GATED M/G/∞ QUEUES
Published online by Cambridge University Press: 22 January 2004
Abstract
The question of stability for the M/G/∞ queue with gated service is investigated using a Foster–Lyapunov drift criterion. The necessary and sufficient condition for positive recurrence is shown to be the finiteness of the first moment of the service time distribution, thus weakening the stability condition given in Browne et al. [3].
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 18 , Issue 1 , January 2004 , pp. 103 - 110
- Copyright
- © 2004 Cambridge University Press