Aviation

Concepts and Models for NEXTGEN air Traffic Flow Management

Hoffman, Bob
Bayen, Alexandre M.
2018

A Weighted-Graph Approach for Dynamic Airspace Configuration

Martinez, Stephane
Chatterji, Gano
Sun, Dengfeng
Bayen, Alexandre
2012

Multiple Aircraft Deconflicted Path Planning with Weather Avoidance Constraints

Pannequin, Jessica
Bayen, Alexandre M.
Mitchell, Ian
Chung, Hoam
Sastry, Shankar
2012

A Cooperative Distributed Approach to Multi-Agent Eulerian Network Control: Application to Air Traffic Management

Raffard, Robin
Waslander, Steven
Bayen, Alexandre M.
2012

Polynomial Time Algorithms for Scheduling of Arrival Aircraft

Roy, Kaushik
Bayen, Alexandre M.
Tomlin, Claire
2012

Optimal Control of Air Traffic Networks Using Continuous Flow Models

Strub, Issam
Bayen, Alexandre
2012

Eulerian Trilogy

Sun, Dengfeng
Yang, Samuel
Bayen, Alexandre M.
2012

Langrangian Delay Predictive Model for Sector-Based Air Traffic Flow

Bayen, Alexandre M.
Grieder, Pascal
Meyer, George
Tomlin, Claire J.
2005

MILP Control of Aggregate Eulerian Network Airspace Models

Robelin, C.-A.
Sun, Dengfeng
Wux, Guoyuan
Bayen, Alexandre M.
2006

A new Eulerian model of airspace is derived and applied to high altitude traffic for a full air traffic control center of the National Airspace System. The Eulerian model is reduced to a linear time invariant dynamical system, in which the state is a vector of aggregate aircraft counts. The model is validated against ASDI data and applied to the Oakland airspace. The problem of controlling sector aircraft count is posed as an integer program, in which the dynamical system appears in the constraints. To improve the computational time of calculating the solution, the integer program is...

Adjoint-based Control of a New Eulerian Network Model of Air Traffic Flow

Bayen, A.M.
Raffard, R.L.
Tomlin, C.J.
2006

An Eulerian network model for air traffic flow in the National Airspace System is developed and used to design flow control schemes which could be used by Air Traffic Controllers to optimize traffic flow. The model relies on a modified version of the Lighthill-Whitham-Richards (LWR) partial differential equation (PDE), which contains a velocity control term inside the divergence operator. This PDE can be related to aircraft count, which is a key metric in air traffic control. An analytical solution to the LWR PDE is constructed for a benchmark problem, to assess the gridsize required to...