  Quality of service (QoS) provisioning in next-generation mobile
communications systems entails a deep understanding of the delay performance.
The delay in wireless networks is strongly affected by the traffic arrival
process and the service process, which in turn depends on the medium access
protocol and the signal-to-interference-plus-noise ratio (SINR) distribution.
In this work, we characterize the conditional distribution of the service
process given the point process in Poisson bipolar networks. We then provide an
upper bound on the delay violation probability combining tools from stochastic
network calculus and stochastic geometry. Furthermore, we analyze the delay
performance under statistical queueing constraints using the effective capacity
formulation. The impact of QoS requirements, network geometry and link distance
on the delay performance is identified. Our results provide useful insights for
guaranteeing stringent delay requirements in large wireless networks.
