Scientific journal paper
The Laplace transform in the context of some of the queue related probability distributions
Manuel Ferreira (Ferreira, M. A. M.);
Journal Title
Acta Scientiae et Intellectus
Year (definitive publication)
2018
Language
English
Country
Azerbaijan
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Times Cited: 2

(Last checked: 2024-11-21 20:36)

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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.
Acknowledgements
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Keywords
Laplace transform,Busy period,Queues network,Algorithm
  • Mathematics - Natural Sciences
  • Computer and Information Sciences - Natural Sciences
Funding Records
Funding Reference Funding Entity
UID/GES/00315/2013 Fundação para a Ciência e a Tecnologia
UID/MULTI/0446/2013 Fundação para a Ciência e a Tecnologia

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