基于极大代数的航空器无冲突放行时间推测

Speculation of Aircraft Conflict-free Clearance Time Based on Max-plus Algebra

针对同一终端区不同机场航空器离场汇聚,给出了问题的具体描述,建立了相应的单航路极大代数模型,并在此基础上设计了航路汇聚交叉模型,解决了同高度航空器离场的冲突问题,最后对模型进行了算例验证。结果表明,极大代数能够较好地解决航空器航迹冲突问题,实现航空器到关键点的无冲突放行。

To deal with the aircraft departure convergence from different airports in the same terminal area, this paper gives a detailed description of the problem and establishes a single en-route max-plus algebra model. Based on this the en-route cross and convergence model is designed which solves the problem of departure conflict of aircraft at the same altitude. And finally the model is validated with numerical examples. The results show that the max-plus algebra is a better solution to the trajectory conflict of aircraft, and aircraft conflict-free clearance can be achieved over the cross points.