Dynamic bandwidth Reservation in Virtual Private Network under Uncertain   Traffic
  The aim of this paper is to analyze the dynamic evolution of a VPN, modeled as a system, controled by a manager who should take appropriate decisions. To take the best possible decisions, the operator should be able to worst behavior, in the sense of a quality of service criterion, of the system he wants to control. At first, we study the case of a simple VPN. In a second part, we propose solutions to model the various interactions that may appear in a network of multiple VPNs. 
H\'el\`ene Le Cadre