ATC Taskload Inherent to the Geometry of Stochastic 4-D Trajectory Flows with Flight Technical Errors

A method to quantify the probabilistic controller taskload inherent to maintaining aircraft adherence to 4-D trajectories within flow corridors is presented. An Ornstein-Uhlenbeck model of the aircraft motion and a Poisson model of the flow scheduling are introduced along with reasonable numerical values of the model parameters. Analytic expressions are derived for the taskload probability density functions for basic functional elements of the flow structure. Monte Carlo simulations are performed for these basic functional elements and the controller taskload probabilities are exhibited.

[1]  Jianghai Hu,et al.  Application of Reachability Analysis for Stochastic Hybrid Systems to Aircraft Conflict Prediction , 2008, IEEE Transactions on Automatic Control.

[2]  Bart Klein Obbink,et al.  Free flight safety risk modeling and simulation , 2006 .

[3]  Arash Yousefi,et al.  Nextgen flow corridors initial design, procedures, and display functionalities , 2010, 29th Digital Avionics Systems Conference.

[4]  W Singhose,et al.  Determining bounds on controller workload rates at an intersection , 2010, Proceedings of the 2010 American Control Conference.

[5]  I. D. Hill,et al.  Fitting Johnson Curves by Moments , 1976 .

[6]  K. B. Winterbon.  Determining parameters of the Johnson Su , 1978 .

[7]  N. L. Johnson,et al.  Systems of frequency curves generated by methods of translation. , 1949, Biometrika.

[8]  P. Som,et al.  Analysis of Flight Technical Error on Straight, Final Approach Segments , 2003 .

[9]  David K. Schmidt.  ON THE CONFLICT FREQUENCY AT AIR ROUTE INTERSECTIONS , 1977 .

[10]  Sandip Roy,et al.  A Stochastic Characterization of En Route Traffic Flow Management Strategies , 2005 .

[11]  Olivier Scaillet,et al.  A correction note on the first passage time of an Ornstein-Uhlenbeck process to a boundary , 2000, Finance Stochastics.

[12]  Maxime Gariel,et al.  Airspace Complexity Estimations Based on Data-Driven Flow Modeling , 2010 .

[13]  M.C. Consiglio,et al.  Flight technical error analysis of the SATS higher volume operations simulation and flight experiments , 2005, 24th Digital Avionics Systems Conference.

[14]  Richard Irvine.  A Geometrical Approach to Conflict Probability Estimation , 2002 .

[15]  Erwan Salaün,et al.  Aircraft Proximity Maps Based on Data-Driven Flow Modeling , 2011, ArXiv.

[16]  P. G. Reich,et al.  A theory of safe separation standards for air traffic control , 1964 .

[17]  Adam Metzler,et al.  On the first passage problem for correlated Brownian motion , 2010 .

[18]  Babak Ghalebsaz Jeddi,et al.  A statistical separation standard and risk-throughput modeling of the aircraft landing process , 2008 .

[19]  Heinz Erzberger,et al.  Conflict probability estimation for free flight , 1997 .

[20]  William J. Dunlay,et al.  Analytical Models of Perceived Air Traffic Control Conflicts , 1975 .

[21]  Sandip Roy,et al.  A Scalable Methodology for Evaluating and Designing Coordinated Air-Traffic Flow Management Strategies Under Uncertainty , 2007, IEEE Transactions on Intelligent Transportation Systems.

[22]  John W. Turner,et al.  Flight Technical Error for Category B Non-Precision Approaches and Missed Approaches Using Non-Differential GPS for Course Guidance , 1993 .

[23]  Eric Hoffman,et al.  A stochastic conflict detection method integrating planned heading and velocity changes , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[24]  A.D. Mundra,et al.  Self-separation corridors , 2007, 2007 IEEE/AIAA 26th Digital Avionics Systems Conference.