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Export Reference (APA) 
Ferreira, M. A. M. (2025). Poisson Arrivals, Exponential Service Time, and Infinite Servers Queue Busy Period and Busy Cycle Distribution Function Bounds. arXiv:2209.05312. 1-7
Export Reference (IEEE) 
M. A. Ferreira,  "Poisson Arrivals, Exponential Service Time, and Infinite Servers Queue Busy Period and Busy Cycle Distribution Function Bounds", in arXiv:2209.05312, pp. 1-7, 2025
Export BibTeX 
@null{ferreira2025_1766254163037,
	year = "2025",
	url = "https://arxiv.org/abs/2209.05312"
}
Export RIS 
TY  - GEN
TI  - Poisson Arrivals, Exponential Service Time, and Infinite Servers Queue Busy Period and Busy Cycle Distribution Function Bounds
T2  - arXiv:2209.05312
AU  - Ferreira, M. A. M.
PY  - 2025
SP  - 1-7
DO  - 10.48550/arXiv.2209.05312
UR  - https://arxiv.org/abs/2209.05312
AB  - The busy period length distribution function knowledge is important for any queue system, and for the MGINF 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 MMINF 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 the MMINF system busy cycle length distribution function are presented.
ER  -