  Mobile Edge Computing (MEC) is expected to play a significant role in the
development of 6G networks, as new applications such as cooperative driving and
eXtended Reality (XR) require both communication and computational resources
from the network edge. However, the limited capabilities of edge servers may be
strained to perform complex computational tasks within strict latency bounds
for multiple clients. In these contexts, both maintaining a low average Age of
Information (AoI) and guaranteeing a low Peak AoI (PAoI) even in the worst case
may have significant user experience and safety implications. In this work, we
investigate a theoretical model of a MEC server, deriving the expected AoI and
the PAoI and latency distributions under the First In First Out (FIFO) and
Generalized Processor Sharing (GPS) resource allocation policies. We consider
both synchronized and unsynchronized systems, and draw insights on the robust
design of resource allocation policies from the analytical results.
