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We consider an information update system where an information receiverrequests updates from an information provider in order to minimize its age ofinformation. The updates are generated at the information provider(transmitter) as a result of completing a set of tasks such as collecting dataand performing computations. We refer to this as the update generation process.We model the $quality$ of an update as an increasing function of the processingtime spent while generating the update at the transmitter. In particular, weuse $distortion$ as a proxy for $quality$, and model distortion as a decreasingfunction of processing time. Processing longer at the transmitter results in abetter quality (lower distortion) update, but it causes the update to age. Wedetermine the age-optimal policies for the update request times at the receiverand the update processing times at the transmitter subject to a minimumrequired quality (maximum allowed distortion) constraint on the updates. Forthe required quality constraint, we consider the cases of constant maximumallowed distortion constraints, as well as age-dependent maximum alloweddistortion constraints.

Age of Information for Updates with Distortion: Constant and Age-Dependent Distortion Constraints