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Publication Detailed Description
A collection of service time probability distributions parameters study and impact in M|G|∞system busy period and busy cycle time length probability distributions
Book Title
Advances in mathematics research
Year (definitive publication)
2020
Language
English
Country
United States of America
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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 period-time length 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 time 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
Service time,Collection,Probability Distribution,Moment,M|G|∞ queue
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Other Engineering and Technology Sciences - Engineering and Technology
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/Multi/04466/2019 | Fundação para a Ciência e Tecnologia |
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