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arXiv · 1609.06856

Space-time large deviations in capacity-constrained relay networks

Christian Hirsch·Benedikt Jahnel·Robert Patterson
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Abstract

We consider a single-cell network of random transmitters and fixed relays in a bounded domain of Euclidean space. The transmitters arrive over time and select one relay according to a spatially inhomogeneous preference kernel. Once a transmitter is connected to a relay, the connection remains and the relay is occupied. If an occupied relay is selected by another transmitters with later arrival time, this transmitter becomes frustrated. We derive a large deviation principle for the space-time evolution of frustrated transmitters in the high-density regime.

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Christian Hirsch, Benedikt Jahnel, Robert Patterson. 2016-09-22. Space-time large deviations in capacity-constrained relay networks. https://arxiv.org/abs/1609.06856

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