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Large deviations in relay-augmented wireless networks

Author

Listed:
  • Christian Hirsch

    (Ludwig-Maximilians-Universität München)

  • Benedikt Jahnel

    (Weierstrass Institute Berlin)

  • Paul Keeler

    (Weierstrass Institute Berlin)

  • Robert Patterson

    (Weierstrass Institute Berlin)

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 nonunique due to symmetry breaking. Also, two general sources for bad quality of service can be detected, which we refer to as isolation and screening.

Suggested Citation

  • Christian Hirsch & Benedikt Jahnel & Paul Keeler & Robert Patterson, 2018. "Large deviations in relay-augmented wireless networks," Queueing Systems: Theory and Applications, Springer, vol. 88(3), pages 349-387, April.
    • Handle: RePEc:spr:queues:v:88:y:2018:i:3:d:10.1007_s11134-017-9555-9
    DOI: 10.1007/s11134-017-9555-9
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