Interloss time in \(M/M/1/1\) loss system (Q1039921)

Summary: 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.