Abstract
To resolve the problem of evaluating for the steady-state probability of Pareto/M/1/K showing the tail-raising effect, we propose an empirical model of the steady-state probability and justified by evaluating the mean queue length and delay by simulations.
This work was supported in part by the Korea Science and Engineering Foundation (KOSEF) through the Ultrafast Fiber-Optic Networks Research Center at Kwangju Institute of Science and Technology (KJIST), Gwangju, 500-712, Korea.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Harris, C.M., Brill, P.H., Fischer, M.J.: Internet-type queues with heavytailed interarrival times and computational methods for their analysis. INFORMSJournal on Computing 12(4), 261–271 (2000)
Choi, B.D., Kim, B., Wee, I.S.: Asymptotic behavior of loss probability inGI/M/1/K queue as K tends to infinity, Queueing Systems, vol. 36, pp. 437–442 (2000)
Koh, Y., Kim, K.: Loss probability behavior of Pareto/M/1/K queue. IEEE Communications Letters 7, 39–41 (2003)
Devadhar, S.Y., Gerla, M., Yu, J.: The significance of finite buffer edge effects in histogram measurements of queues. Telecommunication Systems, 177–193 (2001)
Bolch, G., Greiner, S., Meer, H., Trivedi, S.: Queueing Networks and MarkovChains: Modeling and Performance Evaluation with Computer Science Application. John Wiley & Sons, Chichester (1998)
Gordon, J.: Pareto process as a model of self-similar packet traffic. IEEE GLOBECOM 3, 2232–2235 (1995)
Kreyszig, E.: Advanced engineering mathematics. 4th edn. John Wiley & Sons, Chichester (1976)
Wall, L., Christiansen, T., Schwartz, R.L.: Programming Perl. 2nd edn. O‘Reilly (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Koh, Y., Kim, K. (2003). Evaluation of Steady-State Probability of Pareto/M/1/K Experiencing Tail-Raising Effect. In: Freire, M.M., Lorenz, P., Lee, M.MO. (eds) High-Speed Networks and Multimedia Communications. HSNMC 2003. Lecture Notes in Computer Science, vol 2720. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45076-4_56
Download citation
DOI: https://doi.org/10.1007/978-3-540-45076-4_56
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40542-9
Online ISBN: 978-3-540-45076-4
eBook Packages: Springer Book Archive