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
More Information
Web of Science®

This publication is not indexed in Web of Science®

Scopus

This publication is not indexed in Scopus

Google Scholar

Times Cited: 2

(Last checked: 2024-07-17 14:16)

View record in Google Scholar

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
--
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

With the objective to increase the research activity directed towards the achievement of the United Nations 2030 Sustainable Development Goals, the possibility of associating scientific publications with the Sustainable Development Goals is now available in Ciência-IUL. These are the Sustainable Development Goals identified by the author(s) for this publication. For more detailed information on the Sustainable Development Goals, click here.