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STABILITY CONDITIONS FOR GATED M/G/∞ QUEUES

Published online by Cambridge University Press:  22 January 2004

Dimitra Pinotsi  and
Michael A. Zazanis
Dimitra Pinotsi
Affiliation:
Department of Statistics, Athens University of Economics and Business, Athens 104 34, Greece, E-mail: zazanis@aueb.gr
Michael A. Zazanis
Affiliation:
Department of Statistics, Athens University of Economics and Business, Athens 104 34, Greece, E-mail: zazanis@aueb.gr
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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

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References

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