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  • Generating Time Optimal Trajectory from Predefined 4D waypoint Networks
    Publication . Ahmed, Kawser; Bousson, K.
    The main purpose of this paper is to develop a trajectory optimization method to generate optimal trajectories that minimize aircraft total trip time between the initial and final waypoint in predefined 4D waypoint networks. In this paper, the 4D waypoint networks only consist of waypoints for climb, cruise and descent approach without the take-off and landing approach phases. The time optimal trajectory is generated for three different lengths of flights (short, medium, and long-haul flight) for two different commercial aircraft and considering zero wind condition. The Results about the presented applications show that by flying a time optimal trajectory, which was found by applying a single source shortest path algorithm (Dijkstra’s algorithm), can lead to the reduction of average travel time by 2.6% with respect to the total trip time.
  • 4D Fuel Optimal Trajectory Generation from Waypoint Networks
    Publication . Ahmed, Kawser; Bousson, Kouamana
    The purpose of this thesis is to develop a trajectory optimization algorithm that finds a fuel optimal trajectory from 4D waypoint networks, where the arrival time is specified for each waypoint in the network. Generating optimal aircraft trajectory that minimizes fuel burn and associated environmental emissions helps the aviation industry cope with increasing fuel costs and reduce aviation induced climate change, as CO2 is directly related to the amount of fuel burned, therefore reduction in fuel burn implies a reduction in CO2 emissions as well. A single source shortest path algorithm is presented to generate the optimal aircraft trajectory that minimizes the total fuel burn between the initial and final waypoint in pre-defined 4D waypoint networks. In this work the 4D waypoint networks only consist of waypoints for climb, cruise and descent phases of the flight without the takeoff and landing approach. The fuel optimal trajectory is generated for three different lengths of flights (short, medium and long haul flight) for two different commercial aircraft considering no wind. The Results about the presented applications show that by flying a fuel optimal trajectory, which was found by implying a single source shortest path algorithm (Dijkstra’s algorithm) can lead to reduction of average fuel burn of international flights by 2.8% of the total trip fuel. By using the same algorithm in 4D waypoints networks it is also possible to generate an optimal trajectory that minimizes the flight time. By flying this trajectory average of 2.6% of total travel time can be saved, depends on the trip length and aircraft types.