Scale-free modeling and aggregation. Here we deal with the problem of how to find a scale-free abstraction out of an arbitrary network and how to use this abstraction to benefit of the scale-free properties in term of control. We devised an algorithm, called MergeToScaleFree. It allows finding a partition of an arbitrary network resulting in a scale-free abstraction. This algorithm has been applied on large-scale networks such as the urban traffic network of Grenoble (20 000 nodes), and on a direct application of this algorithm in the context of epidemic spreading. Within the ERC, we have also explored several edges of the problem of modeling urban traffic networks: 2-D fluid macroscopic models for traffic models. Besides we developed a new boundary control design for large-scale urban traffic systems represented by an aggregated model PDE models. Finally, we have also validating of the 2D traffic models with real data coming from the GTL-ville experimental platform which is open to the general public
http://gtlville.inrialpes.fr(s’ouvre dans une nouvelle fenêtre)State-state estimation over scale-free networks. Here we deal with the problem of estimating the average state of certain sectors in a large-scale network, but also its variance. The method has been applied to the problem of thermal monitoring of large buildings. This technique along with a simple on/off control policy for regulation saves around 25.32% of the energy.
We have devised a new method for on-line vehicle density reconstruction in large-scale traffic networks. For that, we have used flows and FCD speed measurements to jointly reconstruct density and flow in the entire network. A sensor radar networks has been installed in the city of Grenoble. It allows us to validate the proposed methodology, and to provide public information for the analysis of the city traffic conditions (road occupancy, energy vehicle consumption, vehicle emissions, and pollution diffusion). A demonstrator of these results are implemented in the GTL-Ville platform
http://gtlville.inrialpes.fr(s’ouvre dans une nouvelle fenêtre) Control methods for scale-free network. We devised a very innovative solution to control large-scale systems: we have introduced the “continuation method” transforming spatially distributed ODE systems into continuous PDE. Most of the systems we encounter in real life consist of such a large number of particles that the direct analysis of their interaction is impossible. The method was illustrated by multiple examples including transport equations, Kuramoto equations and heat diffusion equations, an alternative solution to Hilbert's 6th problem. Several applications of the method have been worked out. Thy include: general linear networks, laser chains, traffic systems, and rings of spintronic oscillators.
Proof-of-Concept: road networks. Proof-of-concept studies are conducted by performing field tests at our data collection center (GTL-Ville), and simulations are performed to test the validity of our models, using a large-scale micro-simulator. The equipment available at the GTL-Ville is used to test our findings on a representative network using real-life data. This project considers a 1 km x 1.4 km zone of the Grenoble downtown, in which different traffic data is to be recollected in real time. GTL-Ville platform
http://gtlville.inrialpes.fr(s’ouvre dans une nouvelle fenêtre)See attached Fig1-6 showing screen shots from the web-platform
