Abstract
We study the effects of nonstationary traffic patterns in a network of ATM nodes. Dynamic behaviour of ATM networks is of interest due to the highly nonhomogenous nature of the load: periods of basic activities are interleaved with bursty periods of demands. The models frequently used to predict transient behaviour of these networks are based on fluid approximation. Usually they assume Poisson arrivals and consider only mean values of queues. Here, we propose a diffusion model which takes into account general input process and allows us to study the dynamics of nonstationary traffic along virtual path, to approximate transient distributions of queues and transient distributions of response times of one or several nodes. It also permits the estimation of time-varying loss rates due to limited capacity of buffers.
Chapter PDF
Similar content being viewed by others
References
J. W. Roberts (ed.), COST92: Performance Evaluation and design of multiservice networks, Final Report, Office for Official Publications of the European Communities, Luxemburg, 1992.
T. Kamitake and T. Suda, Proc. IEEE GLOBECOM ‘89 (1989) 49. 4. 1.
S-Q. Li, IEEE Trans. Comm., 37 (1989) 1192.
A. Reibman and K. Trivedi, Comput. Opns. Res., 15 (1988) 19.
B. Philippe and R. B. Sidje, Transient Solutions of Markov Processes by Krylov Subspaces, IRISA Publication interne No. 736 (1993).
S. Sharma and D. Tipper, Proc. of IEEE International Conf. on Communications ICC ‘83, (1993) 352.
H. Kobayashi and Q. Ren, Proc. of IEEE International Conf. on Communications ICC ‘83, (1993) 1047.
T. Czachórski, Bulletin of Polish Academy of Sciences (Technical Sciences), No. 4 (1993).
T. Czachórski, J. M. Fourneau and F. Pekergin, Proc. IEEE Conf. on Computer Communications INFOCOM ‘82 (1992).
G. F. Newell, Applications of Queueing Theory, Chapman and Hall, London, 1971.
E. Gelenbe, J. ACM, No. 2 (1975).
E. Gelenbe and G. Pujolle, Acta Informatica, Fasc. 7 (1976).
P. J. Burke, Operations Research, No. 6 (1956) 699.
D. R. Cox and H. D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965.
H. Stehfest, Comm. of ACM, No. 1 (1970) 47.
A. Duda, IEEE J. on Selected Areas in Communications, No. 6 (1986).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Czachórski, T., Fourneau, J.M., Pekergin, F. (1995). Diffusion Models to Study Nonstationary Traffic and Cell Loss in ATM Networks. In: Kouvatsos, D.D. (eds) Performance Modelling and Evaluation of ATM Networks. ATM 1994. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34881-0_18
Download citation
DOI: https://doi.org/10.1007/978-0-387-34881-0_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-6164-1
Online ISBN: 978-0-387-34881-0
eBook Packages: Springer Book Archive