In the course of flight, conflict in the air between aircraft happens sometimes with air transportation increase. It is an urgent problem to solve flight conflict for flight safety. In this paper, to increase overall air transport system efficiency and enhance safety, game theory has been considered as an effective method to optimize the conflict resolution for realizing benefits. In particular we are interested in optimal paths, i.e., we want to minimize the total flight time, namely the fuel consumption. The application of game theory ensures total optimization not local optimization for flight area. It considers the influences of all airplanes and the current maneuver affects the next maneuver in air management area. Then this method may extend from the point of the whole air region in future work. The effective method can advance the run efficiency of system and the speed of decision-making while temporary conflicts occur. The two simulations will validate model practicable and rational at last.
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