The research team RAP (Networks, Algorithms and Probability) created in 2004 is issued from a long standing collaboration between engineers at Orange Labs in Lannion and researchers from INRIA-Rocquencourt.
The research team RAP is a member of the Fondation Sciences Mathématiques de Paris.
At Orange Labs in Lannion, the members of the team are experts in the analytical modeling of communication networks as well as the design of algorithms for communication networks.
At INRIA-Rocquencourt, the members of RAP have a recognized expertise in modeling methodologies applied to stochastic models of communication networks.
The efforts of RAP research team focus on few dedicated domains of application over a period of three or four years. The current research projects are:
The RAP research team also aims at developing new fundamental tools to investigate probabilistic models of complex communication networks. Mathematical models of complex communication networks requiring a deep understanding of general results on stochastic processes are more and more used in stochastic modeling. Technical tools such as scaling methods, large deviations and rare events, requiring a good understanding of some fundamental results concerning stochastic processes, are now used in the analysis of these stochastic models. Two fundamental domains are currently investigated:
- Scaling methods for Markov processes describing large networks.
- Fluid limits, functional limit theorems.