Interloss Time in MM11 Loss System

Abstract EN

We consider the interloss times in the M/M/1/1 Erlang Loss System.

Here we present the explicit form of the probability density function of the time spent between two consecutive losses in the M/M/1/1 model.

This density function solves a Cauchy problem for the second-order differential equations, which was used to evaluate the corresponding laplace transform.

Finally the connection between the Erlang's loss rate and the evaluated probability density function is showed.