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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_1789595619383,
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 -
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