  With the inevitable dominance of video traffic on the Internet, providing
perceptually good video quality is becoming a challenging task. This is partly
due to the bursty nature of video traffic, changing network conditions and
limitations of network transport protocols. This growth of video traffic has
made Quality of Experience (QoE) of the end user the focus of the research
community. In contrast, Internet service providers are concerned about
maximizing revenue by accepting as many sessions as possible, as long as
customers remain satisfied. However, there is still no entirely satisfactory
admission algorithm for flows with variable rate. The trade-off between the
number of sessions and perceived QoE can be optimized by exploiting the bursty
nature of video traffic. This paper proposes a novel algorithm to determine the
upper limit of the aggregate video rate that can exceed the available bandwidth
without degrading the QoE of accepted video sessions. A parameter $\beta$ that
defines the exceedable limit is defined. The proposed algorithm results in
accepting more sessions without compromising the QoE of on-going video
sessions. Thus it contributes to the optimization of the QoE-Session trade-off
in support of the expected growth of video traffic on the Internet.
