Slow transitions, slow mixing and starvation in dense random-access networks

Alessandro Zocca; Sem C. Borst; Johan S. H. van Leeuwaarden

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arXiv · 1403.3325

Slow transitions, slow mixing and starvation in dense random-access networks

Alessandro Zocca·Sem C. Borst·Johan S. H. van Leeuwaarden

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Abstract

We consider dense wireless random-access networks, modeled as systems of particles with hard-core interaction. The particles represent the network users that try to become active after an exponential back-off time, and stay active for an exponential transmission time. Due to wireless interference, active users prevent other nearby users from simultaneous activity, which we describe as hard-core interaction on a conflict graph. We show that dense networks with aggressive back-off schemes lead to extremely slow transitions between dominant states, and inevitably cause long mixing times and starvation effects.

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Alessandro Zocca, Sem C. Borst, Johan S. H. van Leeuwaarden. 2014-03-13. Slow transitions, slow mixing and starvation in dense random-access networks. https://arxiv.org/abs/1403.3325

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