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Ferreira, M. A. M. (2019). Laplace transform effectiveness in the M|G|∞ queue busy period probabilistic study. In 18th Conference on Applied Mathematics APLIMAT 2019 Proceedings. (pp. 304-312). Bratislava, Slovakia: Slovak University of Technology.
M. A. Ferreira, "Laplace transform effectiveness in the M|G|∞ queue busy period probabilistic study", in 18th Conf. on Applied Mathematics APLIMAT 2019 Proc., Bratislava, Slovakia, Slovak University of Technology, 2019, vol. 1, pp. 304-312
@inproceedings{ferreira2019_1764940373591,
author = "Ferreira, M. A. M.",
title = "Laplace transform effectiveness in the M|G|∞ queue busy period probabilistic study",
booktitle = "18th Conference on Applied Mathematics APLIMAT 2019 Proceedings",
year = "2019",
editor = "",
volume = "1",
number = "",
series = "",
pages = "304-312",
publisher = "Slovak University of Technology",
address = "Bratislava, Slovakia",
organization = "Slovak University of Technology in Bratislava-Faculty of Mechanical Engineering",
url = "http://evlm.stuba.sk/APLIMAT/indexe.htm"
}
TY - CPAPER TI - Laplace transform effectiveness in the M|G|∞ queue busy period probabilistic study T2 - 18th Conference on Applied Mathematics APLIMAT 2019 Proceedings VL - 1 AU - Ferreira, M. A. M. PY - 2019 SP - 304-312 CY - Bratislava, Slovakia UR - http://evlm.stuba.sk/APLIMAT/indexe.htm AB - The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a probability density functions and distribution functions simpler determination and being a “moments generating function”. In this paper, it is considered a situation not so simple, as it is the case of the M|G|∞ queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as M|G|∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution. ER -
English