Proportional Fairness and its Relationship with Multi-class Queueing Networks

8 Jun

Neil Walton, Assistant Professor at University of Amsterdam

External Presentation (External Speaker)

We consider multi-class single server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level model found is insensitive. A large deviation principle for the stationary distribution of these multi-class queueing networks is also found. Its rate function has a dual form that coincides with proportional fairness. We then give the first rigorous proof that the stationary throughput of a multi-class single server queueing network converges to a proportionally fair allocation.

This work combines classical queueing networks with more recent work on stochastic flow level models and proportional fairness. One could view these seemingly different models as the same system described at different levels of granularity: a microscopic, queueing level description; a macroscopic, flow level description and a teleological, optimisation description.

The conference will be conducted in English


  • Location: Aula 4. 1F03, Departamento de Telemática, Edificio Torres Quevedo, Universidad Carlos III de Madrid, Avda. Universidad, 30, 28911 Leganes – Madrid

  • Organization: NETCOM Research Group (Telematics Department, University Carlos III of Madrid, Spain); Institute IMDEA Networks (Madrid, Spain)
  • Time: 01:00 pm