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Minimum Achievable Peak Age of Information Under Service Preemptions and Request Delay

Champati, Jaya Prakash Varma and Avula, Ramana and Oechtering, Tobais and Gross, James (2021) Minimum Achievable Peak Age of Information Under Service Preemptions and Request Delay. [Journal Articles]

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Abstract

There is a growing interest in analysing freshness of data in networked systems. Age of Information (AoI) has emerged as a relevant metric to quantify this freshness at a receiver, and minimizing this metric for different system models has received significant research attention. However, a fundamental question remains: what is the minimum achievable AoI in any single-server-single-source queuing system for a given service-time distribution? We address this question for the average peak AoI (PAoI) statistic by considering generate-at-will source model, service preemptions, and request delays. Our main result is on the characterization of the minimum achievable average PAoI, and we show that it is achieved by a fixed-threshold policy among the set of all causal policies. We use the characterization to provide necessary and sufficient condition for preemptions to be beneficial for a given service-time distribution. Our numerical results, obtained using well-known distributions, demonstrate that the heavier the tail of a distribution the higher the performance gains of using preemptions.

Item Type: Journal Articles
Subjects: UNSPECIFIED
Divisions: UNSPECIFIED
Depositing User: Jaya Champati
Date Deposited: 24 Mar 2021 11:15
Last Modified: 24 Mar 2021 11:15
URI: http://eprints.networks.imdea.org/id/eprint/2289

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