论文标题
关于无限尺寸状态更新系统信息的离散时代
On Discrete Age of Information of Infinite Size Status Updating System
论文作者
论文摘要
在本文中，对于具有无限尺寸的离散时间状态更新系统，我们得出了平均信息年龄（AOI）和AOI的固定分布的明确表达。基于对有限尺寸和无限大小状态更新系统之间差异的讨论，我们使用二维状态向量成功地表征了系统AOI的随机动力学，该态度同时跟踪实时AOI和当前正在使用的数据包的年龄。我们构成二维年龄过程，并完全解决所有固定概率。然后，作为边缘分布之一，得出了系统AOI的固定分布，并且还确定了AOI的平均值。
In this paper, for the discrete time status updating system with infinite size, we derive the explicit expression of average age of information (AoI), and the AoI's stationary distribution. Based on the discussions of difference between finite and infinite size status updating systems, we successfully characterize the random dynamics of system's AoI using a two-dimensional state vector, which simultaneously tracks the real time AoI and the age of packet currently under service. We constitute the two-dimensional age process and completely solve all the stationary probabilities. Then, as one of the marginal distributions, the stationary distribution of system's AoI is derived, and with which the mean of the AoI is also determined.
