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基于矩母函数形式的时延上界研究——以矩母函数和有效带宽理论为视角

Research on the upper bound of delay based on the form of moment generating function

Theoretical Mathematics Study / 2020,2(1)：14-23 / 2020-05-14 2343 4014

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• Authors: 段鹏飞     
• Information:

  西安科技大学，西安

• Keywords: 自相似业务；统计网络演算；矩母函数；分型布朗运动；有效带宽； 统计时延上界
• self-similar traffic; statistical network calculus; Moment Generating Function(MGF); Fractional Brownian Motion(FBM); effective bandwidth; statistical time delay bounds
• Abstract: 为分析网络中自相似业务的时延性能，运用矩母函数和有效带宽等理论， 重新表征网络演算中到达包络和有效服务曲线，提出基于矩母函数形式的时延 上界，利用相关理论建立并推导适应于自相似业务的端到端统计时延上界模型。 数值分析结果表明，该模型能提高统计复用，对分型布朗运动业务性能评价具 有较好的适应性。
• In order to analyze the delay performance of self-similar traffic, this paper newly expresses the arrival envelope and effective service curve using the theorem of the Moment Generating Function(MGF) and effective bandwidth, and a novel probabilistic concept with MGF is proposed. Based on the corresponding theory, the end-to-end statistical time delay bounds for self-similar traffic is modeled. Numerical analysis results show that the model largely improves statistical multiplexing, and performance evaluation on the Fractional Brownian Motion(FBM) business has better adaptability.
• DOI: https://doi.org/10.35534/tms.0201003c
• Cite: 段鹏飞．基于矩母函数形式的时延上界研究——以矩母函数和有效带宽理论为视角［J］．理论数学前沿，2020，2（1）：14-23．