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http://hdl.handle.net/10071/17544
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Title: LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study
Authors: Ferreira, M. A. M.
Editors: Dagmar Szarková, Daniela Richtáriková, Peter Letavaj
Keywords: Laplace transform
M/G/oo
Busy period
Queues network
Algorithm
Issue Date: 2019
Publisher: Slovak University of Technology
Abstract: The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a probability density functions and distribution functions simpler determination and being a “moments generating function”. In this paper, it is considered a situation not so simple, as it is the case of the M|G|∞ queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as M|G|∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/17544
ISBN: 978-80-227-4884-1
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-55880
Appears in Collections:ISTAR-CRI - Comunicações a conferências internacionais

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