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Interloss Time in Loss System
Author(s) -
Pierpaolo Ferrante
Publication year - 2009
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/2009/308025
Subject(s) - erlang (programming language) , mathematics , laplace transform , probability density function , erlang distribution , cauchy distribution , mathematical analysis , statistics , computer science , functional programming , exponential function , theoretical computer science
We consider the interloss times in the //1/1 Erlang Loss System. Here we present the explicit form of the probability densityfunction of the time spent between two consecutive losses in the //1/1model. This density function solves a Cauchy problem for the second-orderdifferential equations, which was used to evaluate the corresponding laplacetransform. Finally the connection between the Erlang's loss rate and the evaluated probability density function is showed

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