Loss probability behavior of Pareto/M/1/K queue

IEEE Communications Letters

Volumn 7, Issue 1, 2003, Pages 39-41

  Koh, Younsuk ^a   Kim, Kiseon ^a  

^a Gwangju Institute of Science and Technology (GIST)   (South Korea)

Author keywords

Decay factor; GI M 1 K; Loss probability; Pareto M 1 K; Transform approximation method

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INTERNET; NUMERICAL ANALYSIS; PROBABILITY; QUEUEING THEORY; TELECOMMUNICATION TRAFFIC;

INTERNET TRAFFIC;

QUEUEING NETWORKS;

EID: 0037247250     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2002.806469     Document Type: Article

References (9)

1. W. Leland, M. Taqqu, W. Willinger, and D. Wilson, "On the self-similar nature of Ethernet traffic (extended version)," IEEE/ACM Trans. Networking, vol. 2, pp. 1-15, Feb. 1994.
2. V. Paxon and S. Floyd, "Wide-area traffic: The failure of poisson modeling," IEEE/ACM Trans. Networking, vol. 3, pp. 226-244. June 1995.
3. J. Gordon, "Pareto process as a model of self-similar packet traffic," in Proc. GLOBECOM'95, vol. 3, Nov. 1995, pp. 2232-2235.
4. A. Feldman and W. Whitt, "Fitting mixtures of exponentials to long-tail distributions to analyze network performance models," Perf. Eval., vol. 31, pp. 245-279, 1998.
5. C. M. Harris, P. H. Brill, and M. J. Fischer, "Internet-type queues with heavy-tailed interarrival times and computational methods for their analysis," INFORMS J. Computing, vol. 12, no. 4, pp. 261-271, 2000.
6. G. Bolch, S. Greiner, H. Meer, and S. Trivedi, Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Application. New York: Wiley, 1998.
7. Y/1/k queues and their application to the comparison for loss probabilities," J. Appl. Probab., vol. 27, pp. 684-692, 1990.
8. B. D. Choi, B. Kim, and I. S. Wee, "Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity." Queueing Syst., vol. 36, pp. 437-442, 2000.
9. H. P. Schwefel and L. Lipsky, "Buffer size issues in the presence of self-similar traffic," in Proc. 3rd IFIP Workshop on Traffic Management and Design of ATM Networks, London, U.K., Apr. 1999, pp. 11/1-11/12.