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arXiv · 1410.0911

Power law condition for stability of Poisson hail

Sergey Foss·Takis Konstantopoulos·Thomas Mountford
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Abstract

We consider the Poisson hail model introduced by Baccelli and Foss. We give a power law condition for the tails (spatial and temporal) of the distribution of jobs to ensure stability as the rate parameter $λ$ tends to zero. We then show that in a weak sense it is optimal.

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Sergey Foss, Takis Konstantopoulos, Thomas Mountford. 2016-11-10. Power law condition for stability of Poisson hail. https://doi.org/10.1007/s10959-016-0723-3

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