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On the structure of data losses induced by an overflowed buffer
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2021-10-18 , DOI: 10.1016/j.amc.2021.126724
Andrzej Chydzinski 1
Affiliation  

We deal with the statistical structure of data losses, when packetized data are transmitted through a channel with a buffering mechanism and may be subject to losses due to the buffer overflow. The main contribution is an explicit formula for the burst ratio parameter, which reflects the tendency of losses to cluster together, in long series. A general model of the arrival stream is used, which enables arbitrary shaping of the interarrival time distribution and the autocorrelation function of interarrival times. In numerical examples, the dependence of the burst ratio on various model parameters is shown, with a special attention to the impact of the autocorrelation of the arrival process. Some unexpected, counterintuitive observations are made.



中文翻译:

关于溢出缓冲区引起的数据丢失的结构

我们处理数据丢失的统计结构,当打包数据通过具有缓冲机制的通道传输时,可能会因缓冲区溢出而遭受损失。主要贡献是突发比率参数的显式公式,它反映了损失在长序列中聚集在一起的趋势。使用了到达流的通用模型,它能够任意塑造到达间隔时间分布和到达间隔时间的自相关函数。在数值例子中,显示了突发比对各种模型参数的依赖性,特别注意到达过程的自相关的影响。进行了一些出乎意料的、违反直觉的观察。

更新日期:2021-10-19
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