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http://hdl.handle.net/10071/16667
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Title: The Laplace transform in the context of some of the queue related probability distributions
Authors: Ferreira, M. A. M.
Keywords: Laplace transform
Busy period
Queues network
Algorithm
Issue Date: 2018
Publisher: Universum Research E-Center
Abstract: The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a simpler determination of the p.d.f.'s and d.f.'s, and having the possibility to work as a “moments generating function”. In this paper it is considered a situation not so simple, as it is the case of the 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 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/10071/16667
ISSN: 2410-9738
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-50252
Appears in Collections:ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica
BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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