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Publication Detailed Description
18th Conference on Applied Mathematics proceedings
Year (definitive publication)
2019
Language
English
Country
Slovakia
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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
This work is financed by national funds through FCT - Fundação para a Ciência e Tecnologia, I.P., under the project UID/Multi/04466/2019. Furthermore, I would like to thank the Instituto Universitário de Lisboa and ISTAR-IUL for their support.
Keywords
Laplace transform,M/G/oo,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/0446/2013 | Fundação para a Ciência e a Tecnologia |
| UID/GES/00315/2013 | Fundação para a Ciência e a Tecnologia |
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