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Ferreira, M. A. M. (2022). Study about Riccati equation in an infinite servers queue system with poisson arrivals occupation study. In Xingting Wang (Ed.), Novel research aspects in mathematical and computer science. (pp. 22-26). Hooghly: Book Publisher International.
M. A. Ferreira, "Study about Riccati equation in an infinite servers queue system with poisson arrivals occupation study", in Novel research aspects in mathematical and computer science, Xingting Wang, Ed., Hooghly, Book Publisher International, 2022, vol. 1, pp. 22-26
@incollection{ferreira2022_1716185544276, author = "Ferreira, M. A. M.", title = "Study about Riccati equation in an infinite servers queue system with poisson arrivals occupation study", chapter = "", booktitle = "Novel research aspects in mathematical and computer science", year = "2022", volume = "1", series = "", edition = "", pages = "22-22", publisher = "Book Publisher International", address = "Hooghly", url = "https://stm.bookpi.org/NRAMCS-V1/article/view/6549" }
TY - CHAP TI - Study about Riccati equation in an infinite servers queue system with poisson arrivals occupation study T2 - Novel research aspects in mathematical and computer science VL - 1 AU - Ferreira, M. A. M. PY - 2022 SP - 22-26 DO - 10.9734/bpi/nramcs/v1/2039B CY - Hooghly UR - https://stm.bookpi.org/NRAMCS-V1/article/view/6549 AB - In M/G/oo queue real life practical applications, the busy period and the busy cycle probabilistic study is of main importance. But it is a very difficult task. In this chapter, we show that by solving a Riccati equation induced by this queue transient probabilities monotony study as time functions, we obtain a collection of service length distribution functions, for which both the busy period and the busy cycle have lengths with quite simple distributions, generally given in terms of exponential distributions and the degenerate at the origin distribution. ER -