On the departure process of a leaky bucket system with long-range dependent input traffic

Queueing Systems

Volumn 28, Issue 1-3, 1998, Pages 191-214

  Vamvakos, Socrates ^a   Anantharam, Venkat ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

ATM networks; Flow control; Leaky bucket scheme; Long range dependence; Regularly varying tails

Indexed keywords

ADVANCED TRAFFIC MANAGEMENT SYSTEMS; ASYNCHRONOUS TRANSFER MODE; FLOW CONTROL; INTERNET PROTOCOLS; POISSON DISTRIBUTION; RANDOM VARIABLES; STOCHASTIC SYSTEMS;

EXPERIMENTAL EVIDENCE; LEAKY BUCKETS; LONG RANGE DEPENDENCE; LONG-RANGE DEPENDENT TRAFFIC; POISSON RANDOM VARIABLES; REGULARLY VARYING TAILS; SLOWLY VARYING FUNCTIONS; UPPER AND LOWER BOUNDS;

BROADBAND NETWORKS;

EID: 0032370261     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019155307901     Document Type: Article

References (13)

1. V. Anantharam, On the sojourn time of sessions at an ATM buffer with long-range dependent input traffic, in: Proc. of the 34rd IEEE Conf. on Decision and Control, Vol. 1, New Orleans, LA (December 13-15, 1995) pp. 859-864.
2. V. Anantharam and T. Konstantopoulos, Burst reduction properties of the leaky bucket flow control scheme in ATM networks, IEEE Trans. Commun. 42(12) (1994) 3085-3089.
3. J. Beran, R. Sherman, M.S. Taqqu and W. Willinger, Long-range dependence in variable-bit-rate video traffic, IEEE Trans. Commun. 43(2/3/4) (1995) 1566-1579.
4. N.H. Bingham, C.M. Goldie and J.L. Teugels, Regular Variation (Cambridge University Press, New York, 1987).
5. D.R. Cox, Long-range dependence: A review, in: Statistics: An Appraisal, eds. H.A. David and H.T. David (Iowa State University Press, 1984) pp. 55-74.
6. W. Feller, An Introduction to Probability Theory and its Applications, Vol. 2 (Wiley, New York, 1971).
7. W.E. Leland, M.S. Taqqu, W. Willinger and D.V. Wilson, On the self-similar nature of Ethernet traffic (extended version), IEEE/ACM Trans. Networking 2(1) (1994) 1-15.
8. N. Likhanov, B. Tsybakov and N.D. Georganas, Analysis of an ATM buffer with self-similar ("fractal") input traffic, in: Proc. of the 14th Annual IEEE Infocom (1995) pp. 985-992.
9. R.M. Loynes, The stability of queues with non-independent interarrival and service times, Proceedings of the Cambridge Philosophical Society 58 (1962) 497-520.
10. M. Parulekar and A.M. Makowski, Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics, Preprint (1997).
11. V. Paxson and S. Floyd, Wide area traffic: The failure of Poisson modelling, IEEE/ACM Transactions on Networking 3(3) (1995) 226-244.
12. J. Walrand, An Introduction to Queueing Networks (Prentice-Hall, Englewood Cliffs, NJ, 1988).
13. D. Williams, Probability with Martingales (Cambridge University Press, New York, 1991).