Large deviations in relay-augmented wireless networks
Authors
- Hirsch, Christian
- Jahnel, Benedikt
ORCID: 0000-0002-4212-0065 - Keeler, Paul
ORCID: 0000-0002-2063-1075 - Patterson, Robert I. A.
ORCID: 0000-0002-3583-2857
2010 Mathematics Subject Classification
- 60F10 60K35
Keywords
- large deviations, relay, wireless network, signal-to-interference ratio, symmetry breaking
DOI
Abstract
We analyze a model of relay-augmented cellular wireless networks. The network users, who move according to a general mobility model based on a Poisson point process of continuous trajectories in a bounded domain, try to communicate with a base station located at the origin. Messages can be sent either directly or indirectly by relaying over a second user. We show that in a scenario of an increasing number of users, the probability that an atypically high number of users experiences bad quality of service over a certain amount of time, decays at an exponential speed. This speed is characterized via a constrained entropy minimization problem. Further, we provide simulation results indicating that solutions of this problem are potentially non-unique due to symmetry breaking. Also two general sources for bad quality of service can be detected, which we refer to as isolation and screening.
Appeared in
- Queueing Syst., 88 (2018), pp. 349--387 (published online on 28.10.2017).
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