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# Conflict Intervals and Air Traffic Control

IP.com Disclosure Number: IPCOM000121428D
Original Publication Date: 1991-Sep-01
Included in the Prior Art Database: 2005-Apr-03
Document File: 2 page(s) / 64K

IBM

## Related People

Inselberg, A: AUTHOR

## Abstract

Disclosed is a compact form of presenting the time and space information for the conflict barriers flying aircraft may cause to each other. More generally, it is a data structure (referred to as CI for Conflict Intervals) for Motion Planning Problems and may be used for either Conflict Resolution or Interception.

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Conflict Intervals and Air Traffic Control

Disclosed is a compact form of presenting the time and
space information for the conflict barriers flying aircraft may cause
to each other.  More generally, it is a data structure (referred to
as CI for Conflict Intervals) for Motion Planning Problems and may be
used for either Conflict Resolution or Interception.

Consider N aircraft AC1, AC2, etc., moving with constant
velocities V1, V2, etc., respectively, and a line l through the
initial position of AC1 .  Maintaining a minimum horizontal
separation d between AC1 and the remaining aircraft is equivalent to
having circles C2, etc., centered on AC2, etc., with radius d and
allowing AC1 to scrape but not otherwise collide with these circles.
With respect to AC2 determine f12, b12, the trajectories of two
points initially on l and moving with velocity V1 which just scrape
from the front and back the moving circle C2 .  In Parallel
Coordinates (1) where there is a point E T line duality, the parallel
paths between f12 and b12 are represented as an interval I12 on a
vertical line whose position is determined only by the slope of V1 .
Repeating the process, still with respect to AC1, for each of the
remaining aircraft provides a corresponding interval still on the
same vertical line. An aircraft ACk, is in conflict with AC1 if and
only if the path AC1, represented as a point, is in the interval I1k
providing Conflict Detection between AC1 and ACk .  Taking the union
of all such intervals yields an interval I'l .  If both of its
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