Section: Partnerships and Cooperations

International Initiatives

• Title: Optimization and control in network economics

• Inria principal investigator: J.F. Bonnans

• International Partner (Institution - Laboratory - Researcher):

  • University of Chile (Chile) - Center for Mathematical Modeling - Alejandro Jofre

• Duration: 2012 - 2014

• Web page: http://www.cmm.uchile.cl/EA_OCONET

• Limited resources in telecommunication, energy, gas and water supply networks, lead to multi-agent interactions that can be seen as games or economic equilibrium involving stochastic optimization and optimal control problems. Interaction occurs within a network, where decisions on what to produce, consume, trade or plan, are subject to constraints imposed by node and link capacities, risk, and uncertainty, e.g. the capacity of generators and transmission lines; capacity of pipeline in gas supply; switches and antennas in telecommunication. At the same time, nonlinear phenomena arise from price formation as a consequence of demand-supply equilibria or multi-unit auction processes in the case of energy and telecommunication. We will focus first in this project in electricity markets in which there are producers/consumers PCs, and an agent called ISO (Independent system operator) in charge of the management of the network. One major application we have in mind is the one of smart (electrical) grids, in view of the increased use of renewable energies, that is, a massive entry of wind, geothermal, solar in particular.

• Univ. Buenos Aires: Department of Mathematics

• Collaboration with Constanza de la Vega on the optimal control of systems with delay.

• Moscow State Univ.: Department of Mathematics

• Collaboration with Andrei Dmitruk on optimal control with singular arcs.

• ENIT, Tunis: Department of Mathematics

• Collaboration with Mohamed Mnif on the numerical methods for swing options.

• Louisiane State University, USA

• Collaboration with Peter Wolenski on stratified controlled systems.