Abstract: Flight management systems and control methods for meeting a required time of arrival (RTA) with reduced fuel burn. An example method can account for probabilistic wind forecast uncertainty in RTA calculations by reformulating the speed and thrust profile problem as a multi-stage stochastic program, using a wind forecast uncertainty model to generate scenario sets for the fuel optimization problem. The method can iteratively calculate a fuel-efficient advised air speed for achieving an RTA over a flight path with an arbitrary number of recourse points.

Abstract: Flight management systems and control methods for meeting a required time of arrival (RTA) with reduced fuel burn. An example method can account for probabilistic wind forecast uncertainty in RTA calculations by reformulating the speed and thrust profile problem as a multi-stage stochastic program, using a wind forecast uncertainty model to generate scenario sets for the fuel optimization problem. The method can iteratively calculate a fuel-efficient advised air speed for achieving an RTA over a flight path with an arbitrary number of recourse points.

Abstract: Flight management systems and control methods for meeting a required time of arrival (RTA) with reduced fuel burn. The method can account for probabilistic wind forecast uncertainty in RTA calculations by reformulating the speed and thrust profile problem as a multi-stage stochastic program, using a wind forecast uncertainty model to generate scenario sets for the fuel optimization problem. The method can iteratively calculate a fuel-efficient advised air speed for achieving an RTA over a flight path with an arbitrary number of recourse points. Methods for creating wind forecast uncertainty models applicable to a variety of routes through a given airspace, and for use with the flight management systems and control methods. An example wind forecast uncertainty model can be position-specific, data-driven and based on a Markov chain representing error values between historical wind speed data and forecasted wind speed data long a planned flight route or between an origin-destination pair.

Abstract: Flight management systems and control methods for meeting a required time of arrival (RTA) with reduced fuel burn. The method can account for probabilistic wind forecast uncertainty in RTA calculations by reformulating the speed and thrust profile problem as a multi-stage stochastic program, using a wind forecast uncertainty model to generate scenario sets for the fuel optimization problem. The method can iteratively calculate a fuel-efficient advised air speed for achieving an RTA over a flight path with an arbitrary number of recourse points. Methods for creating wind forecast uncertainty models applicable to a variety of routes through a given airspace, and for use with the flight management systems and control methods. An example wind forecast uncertainty model can be position-specific, data-driven and based on a Markov chain representing error values between historical wind speed data and forecasted wind speed data long a planned flight route or between an origin-destination pair.