Hamilton Institute Seminar

Thursday, October 17, 2019 - 13:00 to 14:00
Hamilton Institute Seminar Room (317), 3rd Floor Eolas Building

Speaker: ​Dr Seva Shneer, School of Mathematical and Computer Sciences, Herriot-Watt University, Edinburgh

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

Abstract: 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.
This is a joint work with Sasha Stolyar (UIUC).