Optimal on-line estimation of the size of a dynamic multicast group

Proceedings - IEEE INFOCOM - Tập 2 - Trang 1109-1118 vol.2
S. Alouf1, E. Altman1, P. Nain1
1I.N.R.I.A. Sophia Antipolis, Sophia-Antipolis, France

Tóm tắt

We propose an efficient on-line estimation algorithm for determining the size of a dynamic multicast group. By using diffusion approximation and a Kalman filter, we derive an estimator that minimizes the mean square of the estimation error. As opposed to previous studies, where the size of the multicast group is supposed to be fixed throughout the estimation procedure, we consider a dynamic estimation scheme that updates the estimation at every observation step. The robustness of our estimator to violation of the assumptions under which it has been derived is addressed via simulations. Further validations of our approach are carried out on real audio traces.

Từ khóa

#Stochastic processes #Filtering theory #Mathematical model #Multicast protocols #Feedback #Multicast algorithms #Estimation error #Robustness #Broadcasting #Exponential distribution

Tài liệu tham khảo

10.1109/35.587716 10.1109/HPDC.1996.546190 whittle, 1996, Optimal Control Basics and Beyond taka?cs, 1962, Introduction to the Theory of Queues rosenkrantz, 2001, Statistical analysis of variance-time plots used to estimate parameters of a long-range dependent process stengel, 1986, Stochastic Optimal Control Theory and Application borovkov, 1984, Asymptotic Methods in Queueing Theory karatzas, 1991, Brownian Motion and Stochastic Calculus floyd, 0, A reliable multicast framework for light-weight sessions and application level framing, Proc of ACM SIGCOMM'95 New York NY USA 1995, 342 10.1109/INFCOM.1998.659659 schulzrinne, 1996, RTP: A transport protocol for real-time applications robert, 2000, Re?seaux et Files d'Attente Me?thodes Probabilistes friedman, 0, Multicastsession membership size estimation, Proc of IEEE INFOCOM'99 New York NY USA March 1999, 2, 965 10.1109/90.779206 nonnenmacher, 0, Optimalmulticast feedback, Proc of IEEE INFOCOM'98 San Francisco CA USA March 1998, 3, 964 10.1145/190314.190320 kleinrock, 1975, Queueing Systems Theory, 1 liu, 0, Broadcast audience estimation, Proc of IEEE INFOCOM 2000 Tel Aviv Israel March 2000, 2, 952