Social networks are one of the main carriers of information diffusion. Changes in social ties will affect the quality of Device-to-Device (D2D) communications especially the video transmission. For further improving the communication utility of users, it is of great significance to effectively integrate D2D communications and social networks. To this end, this paper utilizes a stochastic approach to modeling and analysis of dynamic social ties in D2D collaborative video transmission. Specifically, a stochastic mathematical model is established and analyzed, in which the combined effect of many factors such as interest, geographical position, career, social class, value system, and interaction is considered. Based on the Brownian motion theory, the strength of social ties among social individuals with time is studied. Next, the reliability function and adaptive parameter estimation are performed. Finally, some examples are conducted to illustrate the main results of this paper, from which one can see that the proposed model has a good predictive ability of the changing trend of social ties.

中文翻译：

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D2D协作视频传输中动态社交纽带的建模与分析

社交网络是信息传播的主要载体之一。社会关系的变化将影响设备到设备（D2D）通信的质量，尤其是视频传输。为了进一步提高用户的通信效用，有效整合D2D通信与社交网络具有重要意义。为此，本文采用一种随机方法对D2D协作视频传输中的动态社会纽带进行建模和分析。具体来说，建立并分析了随机数学模型，其中考虑了诸如利益，地理位置，职业，社会阶层，价值体系和互动等诸多因素的综合影响。基于布朗运动理论，研究了社会个体之间随着时间的推移社会联系的强度。下一个，执行可靠性函数和自适应参数估计。最后，通过算例说明了本文的主要成果，从中可以看出，该模型对社会关系的变化趋势具有良好的预测能力。