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Correlation Coefficient Analysis of the Age of Information in Multi-Source Systems

2020/09/23 by Yukang Jiang, Kiichi Tokuyama, Jiang, Yukang +5
Computer Science · Medicine · Physics and Astronomy · #Age of Information Optimization #Atomic and Subatomic Physics Research #Congenital Heart Disease Studies #FOS: Computer and information sciences #FOS: Mathematics #G.3 #H.1.1 #Performance (cs.PF) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2009.11067

openalex publication_date 2020/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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