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Publication Detailed Description
Study about Riccati equation in an infinite servers queue system with poisson arrivals occupation study
Book Title
Novel research aspects in mathematical and computer science
Year (definitive publication)
2022
Language
English
Country
India
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Abstract
In M/G/oo queue real life practical applications, the busy period and the busy cycle probabilistic study is of main importance. But it is a very difficult task. In this chapter, we show that by solving a Riccati equation induced by this queue transient probabilities monotony study as time functions, we obtain a collection of service length distribution functions, for which both the busy period and the busy cycle have lengths with quite simple distributions, generally given in terms of exponential distributions and the degenerate at the origin distribution.
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
M/G/oo,Riccati equation,Busy period,Busy cycle
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UIDB/04466/2020 | Fundação para a Ciência e a Tecnologia |
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