论文标题
多源系统中信息时代的相关系数分析
Correlation Coefficient Analysis of the Age of Information in Multi-Source Systems
论文作者
论文摘要
本文在信息更新系统上研究了信息时代（AOI），以便多个来源共享一台服务器来处理更新的信息包。在这样的系统中，来自不同来源的数据包为服务器竞争，因此它们可能因被打断，被积压和陈旧而受苦。因此，为了掌握此类系统的结构，研究指示不同来源相关的度量至关重要。在本文中，我们旨在分析与多个来源的单服务器排队系统上AOI的相关性。作为我们的贡献，我们提供了AOI的相关系数的闭合形式表达。为此，我们首先得出每个AOI的固定分布的Laplace-Stieltjes转换。从我们的分析结果揭示了系统上的一些非平凡特性。
This paper studies the age of information (AoI) on an information updating system such that multiple sources share one server to process packets of updated information. In such systems, packets from different sources compete for the server, and thus they may suffer from being interrupted, being backlogged, and becoming stale. Therefore, in order to grasp structures of such systems, it is crucially important to study a metric indicating a correlation of different sources. In this paper, we aim to analyze the correlation of AoIs on a single-server queueing system with multiple sources. As our contribution, we provide the closed-form expression of the correlation coefficient of the AoIs. To this end, we first derive the Laplace-Stieltjes transform of the stationary distribution of each AoI for the multiple sources. Some nontrivial properties on the systems are revealed from our analysis results.
