Sciweavers

Share
CDC
2008
IEEE

Convex formulations of aggregate network air traffic flow optimization problems

11 years 7 months ago
Convex formulations of aggregate network air traffic flow optimization problems
The problem of regulating air traffic in the en route airspace of the National Airspace System is studied using an Eulerian network model to describe air traffic flow. The evolution of traffic on each edge of the network is modeled by a modified Lighthill-Whitham-Richards partial differential equation. We pose the problem of optimal traffic flow regulation as a continuous optimization program in which the partial differential equation appears in the constraints. The equation is transformed with a variable change which removes the nonlinearity in the control variables and enables us to use linear finite difference schemes to discretize the problem. Corresponding linear programming and quadratic programming based solutions to this convex optimization program yield a globally optimal solution. The technique is applied for a network scenario in the Oakland Air Route Traffic Control Center.
Daniel B. Work, Alexandre M. Bayen
Added 12 Oct 2010
Updated 12 Oct 2010
Type Conference
Year 2008
Where CDC
Authors Daniel B. Work, Alexandre M. Bayen
Comments (0)
books