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Publication Detailed Description
Laplace Transform in the Context Some M|G|∞ Queue Associated Probability Distributions
Document Title
EasyChair Preprint no. 13822
Year (definitive publication)
2024
Language
English
Country
United Kingdom
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Abstract
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 chapter it is considered a situation not so simple, as it is the case of the length of the MG∞ queue busy period distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of a queues network, which nodes behave as MG∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the distribution of the global service time length of a customer during their stay on the network.
Acknowledgements
This work is financed by national funds through FCT - Fundação para a Ciência e Tecnologia, I.P., under the project FCT UIDB/04466/2020. Furthermore, the author thanks the Iscte-Instituto Universitário de Lisboa and ISTAR-IUL, for their support.
Keywords
algorithm,busy period,Laplace transform,M|G|∞,queues network
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| FCT UIDB/04466/2020 | FCT-Fundação para a Ciência e Tecnologia, I.P. |
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