For two status-update sources with reliable channels, the Whittle index policy exactly minimizes the time-average of any non-decreasing cost function of Age of Information.
Optimizing age-of-information in a multi- class queueing system,
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A Whittle Index Approach to Minimizing Functions of Age of Information
For two status-update sources with reliable channels, the Whittle index policy exactly minimizes the time-average of any non-decreasing cost function of Age of Information.