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A Specific M|G|∞ Queue System Busy Period and Busy Cycle Distributions and Parameters
Document Title
arXiv:2211.04447
Year (definitive publication)
2022
Language
English
Country
United States of America
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Abstract
Solving a Riccati equation, induced by the study of the transient behaviour of the MGInf queue system, a collection of service times distributions is determined. For the MGInf queue, which service time distribution is a member of that collection, the busy period and busy cycle probabilistic studies are performed. In extra, the properties of that distributions collection are deduced and presented.
Acknowledgements
This work is partially 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-IUL and ISTAR-IUL, for their support.
Keywords
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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