Convergence of departures in tandem networks of ·/GI/∞ queues

Probability in the Engineering and Informational Sciences

Volumn 10, Issue 4, 1996, Pages 487-500

  Prabhakar, B ^a   Mountford, T S ^a   Bambos, N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

QUEUEING THEORY;

APPLIED PROBABILITY; ASYMPTOTIC DISTRIBUTIONS; COUPLING METHODS; DEPARTURE PROCESS; EXPONENTIAL SERVERS; INPUT OUTPUT MAP; JOINT DISTRIBUTIONS; LIMITING DISTRIBUTIONS;

POISSON DISTRIBUTION;

EID: 0012101632     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0269964800004514     Document Type: Article

References (11)

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3. Bambos, N. & Walrand, J. (1990). An invariant distribution for the G/G/1 queueing operator. Advances in Applied Probability 22: 254-256.
4. Daley, D.J. & Vere-Jones, D. (1988). An introduction to the theory of point processes. Springer Series in Statistics. New York: Springer.
5. Durrett, R. (1991). Probability: Theory and examples. Belmont, CA: Wadsworth.
6. Glynn, P.W. & Whitt, W. (1991). Departures from many queues in series. Annals of Applied Probability 1(4): 546-572.
7. Kelly, F.P. (1979). Reversibility and stochastic networks. Wiley Series in Probability and Mathematical Statistics. New York: Wiley.
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9. Lindvall, T. (1992). Lectures on the coupling method. Wiley Series in Probability and Mathematical Statistics. New York: Wiley.
10. Mountford, T.S. & Prabhakar, B. (1995). On the weak convergence of departures from an infinite sequence of ·/M/1 queues. Annals of Applied Probability 5(1): 121-127.
11. Vere-Jones, D. (1968). Some applications of probability generating functionals to the study of input-output streams. Journal of the Royal Statistical Society, Series B 30: 321-333.