• Corpus ID: 202126526

LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study

@inproceedings{Ferreira2019LAPLACETE,
  title={LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study},
  author={Manuel Alberto M. Ferreira},
  year={2019}
}
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… 
1 Citations
Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments
  • Manuel Alberto M. Ferreira
  • Mathematics, Computer Science
    Current Topics on Mathematics and Computer Science Vol. 1
  • 2021
TLDR
In this work, the practical statistical known results about the sojourn time of a customer, in a Jackson network, distribution are collected and presented and an emphasis is set on the numerical methods applicable to compute the distribution function and the moments.

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