  Nowadays, while the demand for capacity continues to expand, the blossoming
of Internet of Everything is bringing in a paradigm shift to new perceptions of
communication networks, ushering in a plethora of totally unique services. To
provide these services, Virtual Network Functions (VNFs) must be established
and reachable by end-users, which will generate and consume massive volumes of
data that must be processed locally for service responsiveness and scalability.
For this to be realized, a solid cloud-network Integrated infrastructure is a
necessity, and since cloud and network domains would be diverse in terms of
characteristics but limited in terms of capability, communication and computing
resources should be jointly controlled to unleash its full potential. Although
several innovative methods have been proposed to allocate the resources, most
of them either ignored network resources or relaxed the network as a simple
graph, which are not applicable to Beyond 5G because of its dynamism and
stringent QoS requirements. This paper fills in the gap by studying the joint
problem of communication and computing resource allocation, dubbed CCRA,
including VNF placement and assignment, traffic prioritization, and path
selection considering capacity constraints as well as link and queuing delays,
with the goal of minimizing overall cost. We formulate the problem as a
non-linear programming model, and propose two approaches, dubbed B\&B-CCRA and
WF-CCRA respectively, based on the Branch \& Bound and Water-Filling
algorithms. Numerical simulations show that B\&B-CCRA can solve the problem
optimally, whereas WF-CCRA can provide near-optimal solutions in significantly
less time.
