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This paper studies the age of information (AoI) on an information updatingsystem such that multiple sources share one server to process packets ofupdated information. In such systems, packets from different sources competefor the server, and thus they may suffer from being interrupted, beingbacklogged, and becoming stale. Therefore, in order to grasp structures of suchsystems, it is crucially important to study a metric indicating a correlationof different sources. In this paper, we aim to analyze the correlation of AoIson a single-server queueing system with multiple sources. As our contribution,we provide the closed-form expression of the correlation coefficient of theAoIs. To this end, we first derive the Laplace-Stieltjes transform of thestationary distribution of each AoI for the multiple sources. Some nontrivialproperties on the systems are revealed from our analysis results.

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