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Recurrent emptiness in a finite queue with increasing arrival rate

Published online by Cambridge University Press:  14 July 2016

Stig I. Rosenlund
Stig I. Rosenlund*
Affiliation:
Chalmers University of Technology and University of Göteborg
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Abstract

For a single-server queue with one waiting place and increasing arrival rate some necessary and sufficient conditions for infinitely many returns to emptiness with probability one are given.

Keywords

FINITE WAITING ROOMTIME-DEPENDENT QUEUEINCREASING ARRIVAL RATE
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 423 - 426
Copyright
Copyright © Applied Probability Trust 1976 

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References

[1] Newell, G. F. (1968) Queues with time-dependent arrival rates I, II, III. J. Appl. Prob. 5, 436–451, 579–590, 591–606.CrossRefGoogle Scholar
[2] Rosenlund, S. I. (1976) Busy periods in time-dependent M/G/1 queues. Adv. Appl. Prob. 8. To appear.CrossRefGoogle Scholar