In this paper, we develop a novel stochastic model, i.e., an extended two-dimensional stochastic fluid model (2D-SFM), to describe the video streaming system over the IP network dynamics. We first derive two Laplace–Stieltjes transform (LST) matrices of the 2D-SFM, based on which two key performance metrics of the video streaming system, i.e., the video freeze probability and the moment of the buffering delay are derived, in particular, the expectation and the variance of the buffering delay are obtained. As an application, we develop an algor...