Extensions of Palm's theorem: a review

@article{Carrillo1991ExtensionsOP,
  title={Extensions of Palm's theorem: a review},
  author={Manuel J. Carrillo},
  journal={Management Science},
  year={1991},
  volume={37},
  pages={739-744}
}
  • M. Carrillo
  • Published 1 June 1991
  • Mathematics
  • Management Science
This note reviews the transient behavior the M/G/\infty queue with nonhomogeneous Poisson or compound Poisson input and nonstationary service distribution. In the case of nonhomogeneous Poisson input, the number of customers in the queueing system over time turns out to have a Poisson distribution. The generality of the nonhomogeneity/nonstationarity assumptions and the ease of use of the resulting Poisson distribution broaden the area of applications for Poisson models. These results have… 
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