Gugrajah_Yuvaan_ Ramesh_2003.pdf

Adaptation o/the Fixed Point Approximation to Ad Hoc Networks Chapter 5
The 2% blocking criteria is achieved with an arrival rate of less than 0.226 calls/s per
node pair for the simulation and less than 0.217 calls/s per node pair for the
analytical model, which is an error of 3.9%. For blocking below the 2% level the
simulation results appear to oscillate between 0.18 calls/s per node and 0.22 call/s per
node. While it is difficult to explain this phenomenon, the errors obtained when
comparing the analytical results to simulations can most likely be attributed to the
assumptions made with regard to the signal propagation and the use of a Gaussian
distribution for the estimation of the interference distribution.
Figure 5-9 and Figure 5-10 show the stationary distribution of calls in progress at
nodes 3 and 9 for mean arrival rates of 0.1 and 0.9 calls/s per node pair respectively,
which are obtained by plotting Pn(k) for n c {3,9} and O