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# Eindhoven Stochastics Seminar

## Jan 16, 2020, 11:00 - 12:00

Seva Shneer (Heriot-Watt University)

Utility-maximising properties of some service-rates allocations in wireless communication networks

We consider wireless communication networks where service rates of nodes depend on their signal to interference plus noise ratios. We demonstrate that these rates are utility-maximising in a certain sense. Using this observation, we prove stability of single-hop networks under natural assumptions. We also obtain bounds on some moments of the stationary workload.

In order to obtain these results, we consider a framework of utility-optimising rate allocations which is much more general than the well-known $\alpha$-fairness, and prove general results on stability and bounds for some stationary workload distributions in networks with these rate allocations.

We also discuss how our results may be applied to the stability analysis of infinite networks.

This is joint work with Sasha Stolyar (UIUC).

Date:
Jan 16, 2020
Time:
11:00 - 12:00

MF 7 (floor -1)