2021/09/01 by Jixiang Zhang, Zhang, Jixiang, Yinfei Xu +1 · 1 citation
Computer Science · Engineering · Mathematics · Medicine · Physics and Astronomy · #Age of Information Optimization #Atomic and Subatomic Physics Research #Congenital Heart Disease Studies #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Signal Processing (eess.SP) #cs.IT #eess.SP #electronic engineering #information engineering #math.IT
paper · pdf · doi:10.48550/arxiv.2109.00246
9 pages, 3 figures, Accepted for presentation in ITW 2021
arxiv created 2021/09/01 · openalex publication_date 2021/09/01 · arxiv updated 2021/09/02 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28
In this paper, we consider the age of information (AoI) of a discrete time status updating system, focusing on finding the stationary AoI distribution assuming that the Ber/G/1/1 queue is used. Following the standard queueing theory, we show that by invoking a two-dimensional state vector which tracks the AoI and packet age in system simultaneously, the stationary AoI distribution can be derived by analyzing the steady state of the constituted two-dimensional stochastic process. We give the general formula of the AoI distribution and calculate the explicit expression when the service time is also geometrically distributed. The discrete and continuous AoI are compared, we depict the mean of discrete AoI and that of continuous time AoI for system with M/M/1/1 queue. Although the stationary AoI distribution of some continuous time single-server system has been determined before, in this paper, we shall prove that the standard queueing theory is still appliable to analyze the discrete AoI, which is even stronger than the proposed methods handling the continuous AoI.