Traffic Engineering: Erlang and Engset Models Revisited with Diffusion Approximation

Classical Erlang and Engset formulae determining the availability of channels, loss probability, and characteristics of overflow traffic are still use in telecommunications. Moreover, they are also interesting for traffic management in mobile networks and in Internet. They are based on the assumption of Poisson flows and exponentially distributed time of connections. By means of diffusion approximation queuing models, we extend these results to the case of general distributions and transient state analysis.