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Optimization of En-Route Network Capacity for Aircraft Performance
WANG Lili, WANG Hangchen
2019, 38(09):
13-19.
DOI: 10.3969/j.issn.1674-0696.2019.09.03
Owing to the low utilization rate of airspace, lack of quantitative models for managing air traffic flow, congestion of air routes and intersections and capability to deal with emergencies, the system for optimal distribution model was improved from the civil aviation actual operation characteristics of air traffic control. Based on the multi-commodity flow theory, the air traffic flow with different performances was transformed into multi-commodity flow on the network. Meanwhile, a mathematical model considering the three-flow synergy was established and the approximate algorithm to reduce the difficulty was expressed. First, the traffic flows of huge, medium and small aircraft with different performances were considered, and the necessity for distinguishing aircrafts different performances with different flows was explained; second, the cost function of the en-route with flow change, based on en-route length, aircrafts speed and fuel coefficient was defined; third, considering network connectivity, route capacity, controller work load and flow type, multi-commodity flow theory and improved system for the optimal allocation model, in which the total cost in the route network is minimum, were used to establish a mathematical model that considers the three-stream synergy. At the same time, aiming at improving the low efficiency of multi-commodity flow calculation in the Ford-Fulkson algorithm, an approximation algorithm for the phased distribution of air traffic flow was designed according to the characteristics of dynamic changes of route network cost; finally, a numerical example was constructed based on some airspace in the North China Control Zone. The simulation results show that the model can complete the coordination of three traffic flows in real time with a large-scale air traffic flow, and it has a greater efficiency in scale calculation than the traditional algorithm.
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