  Wireless network virtualization has attracted great attentions from both
academia and industry. Another emerging technology for next generation wireless
networks is in-band full duplex (FD) communications. Due to its promising
performance, FD communication has been considered as an effective way to
achieve self-backhauls for small cells. In this paper, we introduce wireless
virtualization into small cell networks, and propose a virtualized small cell
network architecture with FD self-backhauls. We formulate the virtual resource
allocation problem in virtualized small cell networks with FD self-backhauls as
an optimization problem. Since the formulated problem is a mixed combinatorial
and non-convex optimization problem, its computational complexity is high.
Moreover, the centralized scheme may suffer from signaling overhead, outdated
dynamics information, and scalability issues. To solve it efficiently, we
divide the original problem into two subproblems. For the first subproblem, we
transfer it to a convex optimization problem, and then solve it by an efficient
alternating direction method of multipliers (ADMM)-based distributed algorithm.
The second subproblem is a convex problem, which can be solved by each
infrastructure provider. Extensive simulations are conducted with different
system configurations to show the effectiveness of the proposed scheme.
