The Age of Information: Real-Time Status Updating by Multiple Sources
Roy D. Yates, Sanjit K. Kaul

TL;DR
This paper introduces a comprehensive framework for analyzing the Age of Information in systems with multiple sources, providing new formulas and techniques for evaluating real-time status update timeliness.
Contribution
It develops a general AoI metric applicable to various queueing systems and introduces a simplified method for AoI evaluation in finite-state queueing models.
Findings
Derived the feasible average age region for multiple sources.
Provided a new technique for AoI evaluation in finite-state queues.
Characterized how shared service facilities impact source update ages.
Abstract
We examine multiple independent sources providing status updates to a monitor through simple queues. We formulate an Age of Information (AoI) timeliness metric and derive a general result for the AoI that is applicable to a wide variety of multiple source service systems. For first-come first-served and two types of last-come first-served systems with Poisson arrivals and exponential service times, we find the region of feasible average status ages for multiple updating sources. We then use these results to characterize how a service facility can be shared among multiple updating sources. A new simplified technique for evaluating the AoI in finite-state continuous-time queueing systems is also derived. Based on stochastic hybrid systems, this method makes AoI evaluation to be comparable in complexity to finding the stationary distribution of a finite-state Markov chain.
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