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Publication Detailed Description
A Collection of Service Time Distributions Parameters Study and Impact in M|G|∞ System Busy Period and Busy Cycle Length Distributions
Document Title
EasyChair Preprint Nº 8213
Year (definitive publication)
2022
Language
English
Country
United Kingdom
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Abstract
We present the problems that arise when calculating the moments of service time probability distributions for which the M|G|∞ queue system busy period and busy cycle-an idle period followed by a busy periodlength probability distributions become very easy to study and show how to overcome them. We also, calculate the renewal function, the “peakedness,” and the “modified peakedness” for the M|G|∞ busy period and busy cycle length in the case of those service time distributions.
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
collection,moment,M|G|∞ queue,probability distribution,service time
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/Multi/04466/2019 | FCT-Fundação para a Ciência e Tecnologia, I.P. |
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