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Ferreira, M. A. M. (2024). Laplace Transform in the Context Some M|G|∞ Queue Associated Probability Distributions. EasyChair Preprint no. 13822.
M. A. Ferreira, "Laplace Transform in the Context Some M|G|∞ Queue Associated Probability Distributions", in EasyChair Preprint no. 13822, 2024
@unpublished{ferreira2024_1734952793274, author = "Ferreira, M. A. M.", title = "Laplace Transform in the Context Some M|G|∞ Queue Associated Probability Distributions", year = "2024", url = "https://easychair.org/publications/preprint/lmSQ" }
TY - EJOUR TI - Laplace Transform in the Context Some M|G|∞ Queue Associated Probability Distributions T2 - EasyChair Preprint no. 13822 AU - Ferreira, M. A. M. PY - 2024 UR - https://easychair.org/publications/preprint/lmSQ AB - Laplace Transform is a widely used tool in the study of probability distributions, often allowing for a simpler determination of the p.d.f.'s and d.f.'s and having the possibility to work as a “moments generating function”. In this chapter it is considered a situation not so simple, as it is the case of the length of the MG∞ queue busy period distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of a queues network, which nodes behave as MG∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the distribution of the global service time length of a customer during their stay on the network. ER -