Exportar Publicação

A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Ferreira, M. A. M. (2022). Study about a Differential Equation in an Infinite Servers Queue System with Poisson Arrivals Busy Cycle Distribution Study. arXiv:2204.00621. 1-6
Exportar Referência (IEEE) 
M. A. Ferreira,  "Study about a Differential Equation in an Infinite Servers Queue System with Poisson Arrivals Busy Cycle Distribution Study", in arXiv:2204.00621, Ithaca, New York, pp. 1-6, 2022
Exportar BibTeX 
@unpublished{ferreira2022_1734953622538,
	author = "Ferreira, M. A. M.",
	title = "Study about a Differential Equation in an Infinite Servers Queue System with Poisson Arrivals Busy Cycle Distribution Study",
	year = "2022",
	url = "https://arxiv.org/abs/2204.00621"
}
Exportar RIS 
TY  - EJOUR
TI  - Study about a Differential Equation in an Infinite Servers Queue System with Poisson Arrivals Busy Cycle Distribution Study
T2  - arXiv:2204.00621
AU  - Ferreira, M. A. M.
PY  - 2022
SP  - 1-6
DO  - 10.48550/arXiv.2204.00621
CY  - Ithaca, New York
UR  - https://arxiv.org/abs/2204.00621
AB  - In the infinite servers queue with Poisson arrivals 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 text, 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.
ER  -