Interloss Time in ð ‘€ / ð ‘€ / 1 / 1 Loss System

Pierpaolo Ferrante

International Journal of Stochastic Analysis, 2009, vol. 2009, 1-14

Abstract:

We consider the interloss times in the ð ‘€ / ð ‘€ / 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 ð ‘€ / ð ‘€ / 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:308025

DOI: 10.1155/2009/308025

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