This letter analyzes a class of information freshness metrics for large IoT systems in which terminals employ slotted ALOHA to access a common channel . The penalty function that follows a power law of the time elapsed sincethe last received update, generalizing the age of information metric . We provide exact closedform expressions for the average penalty and for the peak penalty violation violationprobability .

Author(s) : Andrea Munari, Gianluigi Liva

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Keywords : information - penalty - slotted - freshness - aloha -

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