  We consider an information update system where an information receiver
requests updates from an information provider in order to minimize its age of
information. The updates are generated at the information provider
(transmitter) as a result of completing a set of tasks such as collecting data
and performing computations. We refer to this as the update generation process.
We model the $quality$ of an update as an increasing function of the processing
time spent while generating the update at the transmitter. In particular, we
use $distortion$ as a proxy for $quality$, and model distortion as a decreasing
function of processing time. Processing longer at the transmitter results in a
better quality (lower distortion) update, but it causes the update to age. We
determine the age-optimal policies for the update request times at the receiver
and the update processing times at the transmitter subject to a minimum
required quality (maximum allowed distortion) constraint on the updates. For
the required quality constraint, we consider the cases of constant maximum
allowed distortion constraints, as well as age-dependent maximum allowed
distortion constraints.
