论文标题
概率限制了信息保证的峰值年龄
A Probabilistic Bound for Peak Age of Information Guarantee
论文作者
论文摘要
本文考虑了一般信息年龄(AOI)模型的分布,并从时间域的角度开发了一种概率性能保证的一般分析方法。首先,揭示了AOI峰与到达峰间和数据包服务时间之间的一般关系。在Martingale理论的帮助下,随后,在信息生成和传输过程中,内源性和相同分布的内源性增量的一般情况下,将在AOI峰上绑定的概率。此后,使用M/M/1和D/M/1排队模型说明了所获得的界限的应用。最终检查了拟议结合的有效性,并以数值结果进行了检查。
This paper considers the distribution of a general peak age of information (AoI) model and develops a general analysis approach for probabilistic performance guarantee from the time-domain perspective. Firstly, a general relationship between the peak AoI and the inter-arrival and service times of packets is revealed. With the help of martingale theory, a probabilistic bound on the peak AoI is then derived for the general case of endogenous independently and identically distributed increments in information generation and transmission processes. Thereafter, the application of the obtained bound is illustrated with the M/M/1 and D/M/1 queuing models. The validity of the proposed bound is finally examined with numerical results.