  Two enablers of the 5th Generation (5G) of mobile communication systems are
the high data rates achievable with millimeter-wave radio signals and the
cloudification of the network's mobile edge, made possible also by Multi-access
Edge Computing (MEC). In 5G networks, user devices may exploit the high
capacity of their mobile connection and the computing capabilities of the edge
cloud to offload computational tasks to MEC servers, which run applications on
devices' behalf. This paper investigates new methods to perform power- and
latency-constrained offloading. First, aiming to minimize user devices'
transmit power, the opportunity to exploit concurrent communication links
between the device and the edge cloud is studied. The optimal number of
channels for simultaneous transmission is characterized in a deterministic and
a probabilistic scenario. Subsequently, blocking events that obstruct
millimeter-wave channels making them `intermittent' are considered. Resource
overprovisioning and error-correcting codes against asymmetric block erasures
are proposed to jointly contrast blocking and exploit multi-link
communications' diversity. The asymmetric block-erasure channel is
characterized by a study of its outage probability. The analysis is performed
in a framework that yields closed-form expressions. These, together with
corroborating numerical results, are intended to provide reference points and
bounds to optimal performance in practical applications.
