A wireless network with beamforming capabilities at the receiver is conside
red that allows two or more transmitters to share the same channel to commu
nicate with the base station. A novel approach is introduced, which combine
s the effects of the digital signal processing (adaptive beamforming) at th
e physical layer with the traffic policies at the network layer on the over
all queuing model of a cell. The effect of signal processing on the queuing
model of the cell is represented by a parameter in the final cell model. E
ach cell is modeled by a multiuser/multiserver service facility, where each
server is a beamformed channel formed by the cell's base station. From thi
s effective cell model, we find the closed form solutions for blocking prob
abilities of the calls and total carried traffic in a wireless network with
adaptive arrays. Our analytical as well as numerical results show that ada
ptive beamforming at the receiver reduces the blocking probability of the c
alls and increases the total carried traffic in the system.