Poisson approximations for telecommunications networks

T. C. Brown, P. K. Pollett
1994 The Journal of the Australian Mathematical Society Series B Applied Mathematics  
In this paper, we review some techniques for studying traffic processes in telecommunications networks. The first of these allows one to identify Poisson traffic via the notion of "deterministic past-conditional arrival rate". Our approach leads to a method by which one can assess the degree of deviation of traffic processes from Poisson processes. We explain how this can be used to delimit circumstances under which traffic is approximately Poissonian.
doi:10.1017/s0334270000010298 fatcat:njt2nhivqbdl5gpc5ohlsynn3e