We need a model for collision risk between controlled aircraft in an arbitrary route network, the numerical evaluation of which compares with the well known Reich model for uncontrolled aircraft. We first consider the well-known theory on the (first) hitting of an absorbing boundary by a Markov process. Since the characterization of (first) hitting reads in terms of a partial differential equation with boundary conditions, its numerical evaluation is too complex for a situation of many aircraft in a network. We next consider the in-crossing of a transient boundary to develop an extended version of the Reich model which is general enough to model air traffic in arbitrary route networks.
Air Traffic Collision Risk Modelling
1993
29 pages
Report
No indication
English
Air Transportation , Transportation Safety , Midair collisions , Air traffic control , Risk , Flight safety , Collision rate , Intersections , Routes , Transportation networks , Boundary conditions , Markov processes , Mathematical models , Partial differential equations , Probability density functions , Reich model , Foreign technology
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