ASYMPTOTIC PROPERTIES OF SELF-SIMILAR TRAFFIC MODELS BASED ON DISCRETE-TIME AND CONTINUOUS-TIME MARTINGALES
Asymptotic properties of self-similar traffic models based on discrete-time and continuous-time martingales are considered. We discovered that their performance indicators are asymptotically equal at to indicators for model based on Brownian motion.
Will E. Leland, Murad S. Taqqu, Walter Willinger, Daniel V. Wilson: On the Self-Similar Nature of Ethernet Traffic. – SIGCOMM, 1993.
O. Shelukhin, A. Tenyakshev, A. Osin Fractal processes in telecommunications. – M.: Radio Engineering, 2003. – 480 p.
L. Klyaynrok. Queueing Theory. Translated from English. – M.: “Engineering”, 1979 – 432 p.
A.V. Skorohod, Stochastic equations for diffusion processes in a bounded region 1, 2, Theor. Veroyatnost. i Primenen.6 (1961), 264-274; 7 (1962), 3-23.
P. L. Lions, A. S. Sznitman. Stochastic differential equations with reflecting boundary conditions. Communications on Pure and Applied Mathematics. Volume 37, Issue 4, (1984), 511–537.
Billingsley, P., Convergence of probability measures. – John Wiley & Sons, 1968.
Peter W. Glynn, Rob J. Wang, Central Limit Theorems and Large Deviations for Additive Functionals of Reflecting Diffusion Processes, arXiv:1307.1574 (2013).
V.I. Tikhonov, M.A. Mironov Markov processes. – M.: “Sov. Radio”, 1977. – 488 p.
L.A. Uryvskyy, B.V. Trach The queuing model in the queuing system using the method of penalties. “Infocommunications – present and prospective”: Materials of the Second Intern. Science-pr. conf. of Young Scientists – Odessa ONAT, 2012, pp. 40-44.
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