Export Publication

The publication can be exported in the following formats: APA (American Psychological Association) reference format, IEEE (Institute of Electrical and Electronics Engineers) reference format, BibTeX and RIS.

Export Reference (APA)
Ferreira, M. A. M. (2022). POISSOIN ARRIVALS, EXPONENTIAL SERVICE TIME, AND INFINITE SERVERS QUEUE BUSY PERIOD AND BUSY CYCLE DISTRIBUTION FUNCTIONS BOUNDS. Acta Scientiae et Intellectus. 8 (3), 23-28
Export Reference (IEEE)
M. A. Ferreira,  "POISSOIN ARRIVALS, EXPONENTIAL SERVICE TIME, AND INFINITE SERVERS QUEUE BUSY PERIOD AND BUSY CYCLE DISTRIBUTION FUNCTIONS BOUNDS", in Acta Scientiae et Intellectus, vol. 8, no. 3, pp. 23-28, 2022
Export BibTeX
@article{ferreira2022_1716193765800,
	author = "Ferreira, M. A. M.",
	title = "POISSOIN ARRIVALS, EXPONENTIAL SERVICE TIME, AND INFINITE SERVERS QUEUE BUSY PERIOD AND BUSY CYCLE DISTRIBUTION FUNCTIONS BOUNDS",
	journal = "Acta Scientiae et Intellectus",
	year = "2022",
	volume = "8",
	number = "3",
	pages = "23-28",
	url = "https://drive.google.com/file/d/1YkvGwKGcZDPieXIpo2gbcRbfnVaQkgT_/view"
}
Export RIS
TY  - JOUR
TI  - POISSOIN ARRIVALS, EXPONENTIAL SERVICE TIME, AND INFINITE SERVERS QUEUE BUSY PERIOD AND BUSY CYCLE DISTRIBUTION FUNCTIONS BOUNDS
T2  - Acta Scientiae et Intellectus
VL  - 8
IS  - 3
AU  - Ferreira, M. A. M.
PY  - 2022
SP  - 23-28
SN  - 2410-9738
UR  - https://drive.google.com/file/d/1YkvGwKGcZDPieXIpo2gbcRbfnVaQkgT_/view
AB  - The busy period length distribution function knowledge is important for any queue system, and for the M/G/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for theM/M/∞ system busy cycle length distribution function are presented.
ER  -