Method of Determining Arrival-Departure Window of Lateral Runway Based on Risk Theory

The arrival-departure (AD) window is actually an area that controls takeoff, where departing aircraft on the side runway are not allowed to take off when there are approaching aircraft in the AD window. To solve the operation conflict of the lateral runway system, the model and method of AD window based on collision risk theory are proposed for the first time. Firstly, the paper takes the operation process of the landing and departing aircraft under the simultaneous operation of the lateral runway as the research object, and gives the risk prediction based on the flight program protection area combining the runway configuration and the operation characteristics of the aircraft. Secondly, combined with the relative position change characteristics of aircraft pairs on the lateral runway, the real-time dynamic interval calculation model of two aircraft is built. The lateral runway collision risk calculation model based on position error theory is further established. Then, the solution process of AD window is designed based on the dichotomy method, so as to determine the final AD window boundary. Finally, taking Beijing Daxing International Airport, China, as an example, the location of the AD window is calculated, and the boundary of the AD window is determined to be 8,012 m before the entrance of Dongyi runway, and the maximum critical collision risk value is 4.9371 × 10−9 times/flight hour. The results have been verified by the control simulator and applied to the actual operation of Beijing Daxing International Airport from 2019 to the present. The practical operation results show that the proposed method and model can quantitatively determine the position of the AD window and effectively control the operation risk of lateral runway systems.