16 research outputs found
Stable Throughput and Delay Analysis of a Random Access Network With Queue-Aware Transmission
In this work we consider a two-user and a three-user slotted ALOHA network
with multi-packet reception (MPR) capabilities. The nodes can adapt their
transmission probabilities and their transmission parameters based on the
status of the other nodes. Each user has external bursty arrivals that are
stored in their infinite capacity queues. For the two- and the three-user cases
we obtain the stability region of the system. For the two-user case we provide
the conditions where the stability region is a convex set. We perform a
detailed mathematical analysis in order to study the queueing delay by
formulating two boundary value problems (a Dirichlet and a Riemann-Hilbert
boundary value problem), the solution of which provides the generating function
of the joint stationary probability distribution of the queue size at user
nodes. Furthermore, for the two-user symmetric case with MPR we obtain a lower
and an upper bound for the average delay without explicitly computing the
generating function for the stationary joint queue length distribution. The
bounds as it is seen in the numerical results appear to be tight. Explicit
expressions for the average delay are obtained for the symmetrical model with
capture effect which is a subclass of MPR models. We also provide the optimal
transmission probability in closed form expression that minimizes the average
delay in the symmetric capture case. Finally, we evaluate numerically the
presented theoretical results.Comment: Submitted for journal publicatio
A Unified Framework for SINR Analysis in Poisson Networks with Traffic Dynamics
We study the performance of wireless links for a class of Poisson networks,
in which packets arrive at the transmitters following Bernoulli processes. By
combining stochastic geometry with queueing theory, two fundamental measures
are analyzed, namely the transmission success probability and the meta
distribution of signal-to-interference-plus-noise ratio (SINR). Different from
the conventional approaches that assume independent active states across the
nodes and use homogeneous point processes to model the locations of
interferers, our analysis accounts for the interdependency amongst active
states of the transmitters in space and arrives at a non-homogeneous point
process for the modeling of interferers' positions, which leads to a more
accurate characterization of the SINR. The accuracy of the theoretical results
is verified by simulations, and the developed framework is then used to devise
design guidelines for the deployment strategies of wireless networks