Português
Ciência-IUL
Publications
Publication Detailed Description
18th Conference on Applied Mathematics APLIMAT 2019 Proceedings
Year (definitive publication)
2019
Language
English
Country
Slovakia
More Information
Web of Science®
This publication is not indexed in Web of Science®
Scopus
This publication is not indexed in Scopus
Google Scholar
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.
Acknowledgements
--
Keywords
Laplace transform,M|G|∞,Busy period,Queues network,Algorithm
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Electrical Engineering, Electronic Engineering, Information Engineering - Engineering and Technology
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/Multi/04466/2019 | Fundação para a Ciência e a Tecnologia |
Contributions to the Sustainable Development Goals of the United Nations
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.
