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Ferreira, M. A. M. & Andrade, M. A. P. (2022). M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds. EasyChair Preprint Nº 7932.
M. A. Ferreira and M. A. Andrade, "M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds", in EasyChair Preprint Nº 7932, Manchester, 2022
@unpublished{ferreira2022_1732211727774, author = "Ferreira, M. A. M. and Andrade, M. A. P.", title = "M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds", year = "2022", url = "https://easychair.org/publications/preprint/FdFw" }
TY - EJOUR TI - M|M|∞ Busy Period and Busy Cycle Distribution Functions Bounds T2 - EasyChair Preprint Nº 7932 AU - Ferreira, M. A. M. AU - Andrade, M. A. P. PY - 2022 CY - Manchester UR - https://easychair.org/publications/preprint/FdFw AB - The busy period length distribution function knowledge is important for any queue system, and in particular 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 the M|M|∞ system busy cycle length distribution function are presented. ER -