• Corpus ID: 235248359

Asymptotics of a time bounded cylinder model

  title={Asymptotics of a time bounded cylinder model},
  author={Nils Aschenbruck and Stephan Bussmann and Hanna Doring},
One way to model telecommunication networks are static Boolean models. However, dynamics such as node mobility have a significant impact on the performance evaluation of such networks. Consider a Boolean model in R and a random direction movement scheme. Given a fixed time horizon T > 0, we model these movements via cylinders in R× [0, T ]. In this work, we derive central limit theorems for functionals of the union of these cylinders. The volume and the number of isolated cylinders and the… 

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