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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
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
@article{ferreira2022_1734954450125, 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" }
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 -