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Stochastic modeling and performance analysis of video streaming system over IP networks

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Abstract

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 algorithm to find the optimal initial buffering level with the constraint that the freeze probability is below a given tolerable probability. Finally, numerical results and simulations are provided to corroborate the theoretical findings, and the effects of the system parameters in different scenarios on system performance metrics are further studied numerically.

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Funding

The work described in this paper was supported by National Natural Science Foundation of China (No. 61761008), the Natural Science Foundation of Guangxi (No. 2018GXNSFAA281238), the Project of Guangxi Colleges and Universities Key Laboratory of Mathematical and Statistical Model (No. 2017GXKLM002).

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Authors and Affiliations

  1. School of Mathematics and Statistics in Guangxi Normal University, Guilin, Guangxi, People’s Republic of China

    Peng Wen & Shengda Tang

  2. College of Sciences and Engineering, University of Tasmania, Hobart, TAS, 7001, Australia

    Liansheng Tan

  3. Computer Science Department, Central China Normal University, Wuhan, People’s Republic of China

    Liansheng Tan

Authors
  1. Peng Wen
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  2. Shengda Tang
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  3. Liansheng Tan
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Corresponding author

Correspondence to Shengda Tang.

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Communicated by M. Claypool.

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Wen, P., Tang, S. & Tan, L. Stochastic modeling and performance analysis of video streaming system over IP networks. Multimedia Systems 28, 993–1005 (2022). https://doi.org/10.1007/s00530-022-00901-1

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