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Title: First order differential equations induced by the infinite servers queue with poisson arrivals transient behavior probability distribution parameters study as time functions
Authors: Ferreira, M. A. M.
Keywords: Exact differential equations
First order differential equations
Hazard rate function
Service time length
Transient probabilities
Issue Date: 2017
Publisher: Slovak University of Technology in Bratislava
Abstract: The M|G|? queue system state transient probabilities, considering the time origin at the beginning of a busy period, mean and variance monotony as time functions is studied. These studies, for which results it is determinant the hazard rate function service time length, induce the consideration of two differential equations, one related with the mean monotony study and another with the variance monotony study, which solutions lead to some particular service time distributions, for which those parameters present specific behaviors as time functions.
Peer reviewed: yes
Appears in Collections:BRU-CRI - Comunicações a conferências internacionais
ISTAR-CRI - Comunicações a conferências internacionais

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