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. (2024). Time in Transit Unraveling the Transient Behavior of M|M|m|m Queues. In Prof. El-Sayed Mohamed Abo-Dahab Khedary;  (Ed.), Research and Applications Towards Mathematics and Computer Science Vol. 9. (pp. 44-65). Hooghly, West Bengal: B P International.
Exportar Referência (IEEE) 
M. A. Ferreira,  "Time in Transit Unraveling the Transient Behavior of M|M|m|m Queues", in Research and Applications Towards Mathematics and Computer Science Vol. 9, Prof. El-Sayed Mohamed Abo-Dahab Khedary; , Ed., Hooghly, West Bengal, B P International, 2024, vol. 9, pp. 44-65
Exportar BibTeX 
@incollection{ferreira2024_1734954886426,
	author = "Ferreira, M. A. M.",
	title = "Time in Transit Unraveling the Transient Behavior of M|M|m|m Queues",
	chapter = "",
	booktitle = "Research and Applications Towards Mathematics and Computer Science Vol. 9",
	year = "2024",
	volume = "9",
	series = "",
	edition = "1",
	pages = "44-44",
	publisher = "B P International",
	address = "Hooghly, West Bengal",
	url = "https://stm.bookpi.org/RATMCS-V9/issue/view/1351"
}
Exportar RIS 
TY  - CHAP
TI  - Time in Transit Unraveling the Transient Behavior of M|M|m|m Queues
T2  - Research and Applications Towards Mathematics and Computer Science Vol. 9
VL  - 9
AU  - Ferreira, M. A. M.
PY  - 2024
SP  - 44-65
DO  - 10.9734/bpi/ratmcs/v9/7309B
CY  - Hooghly, West Bengal
UR  - https://stm.bookpi.org/RATMCS-V9/issue/view/1351
AB  - Computing an exact solution for the differential equations, with differences, system that allows the determination of the M|M|m|m system transient probabilities is a hard task. The respective complexity grows with m. The computations are extremely fastidious and the length and the fact that the expressions obtained are often approximate, and not exact, will not allow the transient probabilities behavior as time functions characterization. To overcome these problems, in this work it is analyzed how that system can supply approximate values to the M|M|m|m queue system, through matrix calculations. It is also presented an asymptotic method to solve the system that becomes possible in many cases to obtain simple approximated expressions for those probabilities using the M|M|∞ transient probabilities, very well-known and very much easier to study.
ER  -