[Tccc] Technical Report: Reconsidering Networ...
Professor V.O.K. Li
vliateee.hku.hk
Wed Jan 16 05:00:30 EST 2013
Dear Colleagues,
Many research questions in networking are described by probability
theory formulated with measure theory. Recently we find that
measure-theoretic probability appears to be inconsistent. The inconsistency
has caused undesirable consequences in applications including
network traffic modeling. Our findings are presented in a technical report.
The title and abstract are as follows.
Reconsidering Network Traffic Modeling
We question current techniques ofnetwork traffic modeling.
Measure-theoretic probability is the foundation of current traffic
models. However,
due to a fundamental flaw of measure-theoretic probability,
current traffic models cannotproperly characterize the growth trend
of network traffic. By demonstrating theinconsistency of
measure-theoretic probability implied
by unbounded random variables, we justify theabove claim with a rigorous
analysis, and discuss
the implications of our analysis to traffic modeling and some other
related
issues, such as performance evaluation of traffic control.
The technical report is available at
http://www.eee.hku.hk/research/doc/tr/TR2012006_Reconsidering_Network_Traffic_Modeling.pdf
Your comments will be very much appreciated.
Best regards,
Guang-Liang Li and Victor O. K. Li
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