CN110648560A - FAB flow management method based on distributed decision model - Google Patents
FAB flow management method based on distributed decision model Download PDFInfo
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Abstract
本发明涉及空中交通管理区域管制技术领域,且公开了一种基于分布式决策模型的FAB的流量管理方法,包括以下步骤:A、拟建模型:步骤1,定义任意两条飞行轨迹间的干扰或冲突为飞行交互;步骤2,建立一个分布式决策模型,分布式决策模型基于元启发式方法,采用模拟退火和爬山局部搜索相结合的混合算法来分离给定的一组相互作用的飞行器轨迹,用于解决飞行交互的分布式决策源于一种创新的数据结构,称为FAB‑飞行交互矩阵,其捕获FAB之间和内部的飞行交互信息。该基于分布式决策模型的FAB的流量管理方法,能够解决目前管理手段过于单一,航空公司和空管单位缺乏协调,使得空中领域的环境越来越恶化,会给空中交通安全造成不良影响的问题。
The invention relates to the technical field of air traffic management area control, and discloses a FAB flow management method based on a distributed decision model, comprising the following steps: A. A proposed model: Step 1, defining the interference between any two flight trajectories Or the conflict is flight interaction; Step 2, establish a distributed decision model, which is based on a meta-heuristic method, using a hybrid algorithm combining simulated annealing and hill-climbing local search to separate a given set of interacting aircraft trajectories , the distributed decision-making for resolving flight interactions stems from an innovative data structure called the FAB‑Flight Interaction Matrix, which captures flight interaction information between and within FABs. The FAB flow management method based on the distributed decision model can solve the problem that the current management methods are too single, and the lack of coordination between airlines and air traffic control units makes the environment in the air field more and more deteriorated, which will adversely affect air traffic safety. .
Description
技术领域technical field
本发明涉及空中交通管理区域管制技术领域,具体为一种基于分布式决策模型的FAB的流量管理方法。The invention relates to the technical field of air traffic management area control, in particular to a FAB flow management method based on a distributed decision model.
背景技术Background technique
近五年来,我国民航运输量以每年平均10%的速度增长,航空运输量的快速增长导致空域内的飞行器数量急剧增长,这就需要对空域扇区流量管理进行优化。对空域信息动态扇区划分需要结合真实的空域环境、交通运输情况与空中管制情况,对扇区划分的主要影响因素进行分析,需要充分考量这三个方面。现在对空中交通流量管理基本方法是先期流量管理,飞行前流量管理,实时流量管理。我国航班飞行量以15%的速度增长,各个航班活动出现交叉以及重叠现象航空轨迹越来越集中,给空中交通流量管理工作增加了很大的难度,并且管理手段过于单一,航空公司和空管单位缺乏协调,使得空中领域的环境越来越恶化,会给空中交通安全造成不良影响。In the past five years, my country's civil aviation traffic has grown at an average annual rate of 10%. The rapid growth of air traffic has led to a sharp increase in the number of aircraft in the airspace, which requires optimization of airspace sector flow management. The dynamic sector division of airspace information needs to be combined with the real airspace environment, traffic conditions and air control conditions to analyze the main influencing factors of sector division, and these three aspects need to be fully considered. At present, the basic methods of air traffic flow management are advance flow management, pre-flight flow management, and real-time flow management. The number of flights in my country has increased at a rate of 15%, and the overlapping and overlapping of various flight activities has become more and more concentrated, which has increased the difficulty of air traffic flow management. The lack of coordination among units has made the environment in the air field worse and worse, which will have a negative impact on air traffic safety.
发明内容SUMMARY OF THE INVENTION
(一)解决的技术问题(1) Technical problems solved
针对现有技术的不足,本发明提供了一种基于分布式决策模型的FAB的流量管理方法,具备提高空中交通安全的优点,解决了目前管理手段过于单一,航空公司和空管单位缺乏协调,使得空中领域的环境越来越恶化,会给空中交通安全造成不良影响的问题。Aiming at the shortcomings of the prior art, the present invention provides a FAB flow management method based on a distributed decision model, which has the advantages of improving air traffic safety, and solves the problem that the current management methods are too single, and the airlines and air traffic control units lack coordination. The environment in the air field is getting worse and worse, which will have a negative impact on air traffic safety.
(二)技术方案(2) Technical solutions
为实现提高空中交通安全的目的,本发明提供如下技术方案:一种基于分布式决策模型的FAB的流量管理方法,包括以下步骤:In order to achieve the purpose of improving air traffic safety, the present invention provides the following technical solutions: a FAB flow management method based on a distributed decision model, comprising the following steps:
A、拟建模型:A. The proposed model:
步骤1,定义任意两条飞行轨迹间的干扰或冲突为飞行交互;Step 1, define the interference or conflict between any two flight trajectories as flight interaction;
步骤2,建立一个分布式决策模型,分布式决策模型基于元启发式方法,采用模拟退火和爬山局部搜索相结合的混合算法来分离给定的一组相互作用的飞行器轨迹,用于解决飞行交互的分布式决策源于一种创新的数据结构,称为FAB-飞行交互矩阵,其捕获FAB之间和内部的飞行交互信息,该模型能够在各个FAB之间实现有效的信息共享,实现无交互的4-D轨迹规划,通过计算和重新设定给定FAB中的每个飞行计划,达到在空间和时域中分离一组给定的飞机轨迹;
B.功能空域块-飞行交互矩阵:B. Functional Airspace Block-Flight Interaction Matrix:
步骤3,建立一个FAB模型以及FAB-飞行交互矩阵,FAB-飞行交互矩阵的捕获从控制FAB到中间FAB过程中由飞行器引起的交互次数,然后通过在控制FAB中实现时空间隔来解决飞行交互,并且相应地更新飞行计划,解决后,重新计算飞行交互,并更新FAB飞行交互矩阵,此过程将继续,直到所有飞行交互都得到解决;Step 3, establish a FAB model and FAB-flight interaction matrix, the FAB-flight interaction matrix captures the number of interactions caused by the aircraft during the process from the control FAB to the intermediate FAB, and then solves the flight interaction by implementing the time-space separation in the control FAB, And update the flight plan accordingly, when solved, recalculate the flight interactions, and update the FAB flight interaction matrix, this process will continue until all flight interactions are resolved;
C.交通流量管理策略:C. Traffic flow management strategy:
首先,将具有最高飞行交互数的中间FAB识别为候选FAB,然后将ATFM策略(时空分离)应用于控制FAB Cj的随机选择(适应性比例选择)飞行,适应度比例法意味着选择航班的概率仅与其引起的交互次数成比例,根据修订的飞行计划重新计算飞行交互,并更新FAB飞行交互矩阵,重复该过程直到FAB-飞行交互矩阵最小总体交互,其中每个FAB做出的决策由优化过程评估,然后,基于FABs-飞行交互矩阵的交互信息被反馈给每个FAB,然后FAB做出新的决定并重复该过程,直到达到导致最小总体交互的解决方案;First, the intermediate FAB with the highest number of flight interactions is identified as the candidate FAB, then the ATFM strategy (spatiotemporal separation) is applied to control the randomly selected (adaptive proportional selection) flight of the FAB Cj, the fitness proportional method means the probability of selecting a flight Only proportional to the number of interactions it causes, the flight interactions are recalculated according to the revised flight plan, and the FAB flight interaction matrix is updated, the process is repeated until the FAB-flight interaction matrix minimum overall interaction, where the decisions made by each FAB are determined by the optimization process Evaluate, then, the interaction information based on the FABs-flight interaction matrix is fed back to each FAB, which then makes new decisions and repeats the process until a solution is reached that results in the smallest overall interaction;
D.数学建模:D. Mathematical modeling:
步骤4,将上述抽象为数学模型,解决轨迹之间的相互作用;Step 4, abstract the above into a mathematical model to solve the interaction between trajectories;
a、轨迹间的相互作用:a. Interaction between trajectories:
轨迹之间的相互作用指示两个或更多轨迹何时在相同的时间段占据相同的空间;The interaction between trajectories indicates when two or more trajectories occupy the same space in the same time period;
b、航线/离港时间分配:b. Allocation of route/departure time:
为分离三维(3-D)空间和时域中的轨迹,制定基于的路径/出发时间分配技术,为每个航班找到替代的4-D轨迹,以最小化轨迹之间的总相互作用;To separate trajectories in three-dimensional (3-D) space and time domain, formulate a route/departure time assignment technique based on finding alternative 4-D trajectories for each flight to minimize the total interaction between trajectories;
E.相互作用:E. Interaction:
首先,对空域进行离散化,使用四维网格(三维时空)进行冲突检测,作为三维网格的时间序列进行离散化采样Δt=tn-tn-1,三维网格中每个单元的大小由最小分离要求(Nh和Nv)决定,在四维网格中,每个单元格的大小由最小分隔来定义,需求和离散化时间步骤Δt,然后,对于每个给定的四维坐标pi,k(xi,k,yi,k,zi,k,ti,k)确定对应的网格,Ci,j,k,t四维网格包含pi,k(xi,k,yi,k,zi,k,ti,k),然后,确定对应每个这样的网格Ci,j,k,t,并依次检查其周围的网格(有33=27个这样的相邻网格,包括Ci,j,k,t本身),若一个小网格被飞机i本身以外的飞机占用,则测量相应飞机坐标之间的水平距离dh和垂直距离dv,当dh<Nh和dv<Nv时,发现违反保护数量;First, discretize the airspace, use a four-dimensional grid (three-dimensional space-time) for conflict detection, and perform discretization sampling as a time series of a three-dimensional grid Δt=t n -t n-1 , the size of each cell in the three-dimensional grid Determined by the minimum separation requirements (N h and N v ), in a 4D grid, the size of each cell is defined by the minimum separation, demand and discretization time step Δt, then, for each given 4D coordinate p i,k (x i,k ,y i,k ,z i,k ,t i,k ) determine the corresponding grid, C i,j,k,t four-dimensional grid contains p i,k ( xi, k ,y i,k ,z i,k ,t i,k ), then determine the corresponding grid C i,j,k,t for each such grid, and check the grids around it in turn (there are 3 3 = 27 such adjacent grids, including C i,j,k,t itself), if a small grid is occupied by an aircraft other than aircraft i itself, measure the horizontal and vertical distances d h and vertical distances between the corresponding aircraft coordinates d v , when dh < N h and d v < N v , the number of violations of protection found;
F.算法:F. Algorithm:
分布式ATFM模型的四维轨迹规划方法依赖于第三部分中引入的交互最小化问题,其目标函数值通过第四部分开发的交互检测方案模拟得到。The four-dimensional trajectory planning method of the distributed ATFM model relies on the interaction minimization problem introduced in the third part, and its objective function value is simulated by the interaction detection scheme developed in the fourth part.
优选的,对于所述FAB-飞行交互矩阵,空域用户(航空公司,机场,空中航行服务提供者等)向管制中心提交相关信息(飞行计划,航班时刻,容量),管制中心随后应用集中交通流量管理战略,以满足需求与容量和其他空域限制并生成修订的飞行计划,然后将这些飞行计划用作FAB-飞行交互矩阵的输入,它是一个二维(2-D)矩阵,捕获FAB之间和之内的飞行交互信息,矩阵的一个维度称为控制FAB,另一个维度称为中间FAB。Preferably, for the FAB-flight interaction matrix, airspace users (airlines, airports, ANSPs, etc.) submit relevant information (flight plans, flight schedules, capacity) to the control center, which then applies centralized traffic flow Manage strategies to meet demand and capacity and other airspace constraints and generate revised flight plans, which are then used as input to the FAB-Flight Interaction Matrix, a two-dimensional (2-D) matrix that captures the and the flight interaction information within the matrix, one dimension of the matrix is called the control FAB and the other dimension is called the intermediate FAB.
优选的,对于所述FAB-飞行交互矩阵,Preferably, for the FAB-flight interaction matrix,
控制FAB的定义为:1.航班出发时所在的FAB,2.进入给定空域时经过的第一个FAB;The control FAB is defined as: 1. The FAB where the flight departs, 2. The first FAB that passes through when entering a given airspace;
中间FAB的定义为:1.给定航班穿越过的FAB;2给定航班在给定空域内着陆时所在的FAB;3.离开给定空域时最后经过的FAB。The definition of the intermediate FAB is: 1. The FAB that a given flight traverses; 2. The FAB where the given flight lands when it lands in the given airspace; 3. The last FAB that passes when leaving the given airspace.
优选的,所述数学模型即当达到导致最小总体交互时,基于的路径/出发时间分配技术,为交互中的每个航班找到替代的4-D轨迹。Preferably, the mathematical model is based on a route/departure time allocation technique that finds alternative 4-D trajectories for each flight in the interaction when it is reached that results in a minimum overall interaction.
优选的,所述飞行计划为路线和起飞时间。Preferably, the flight plan is a route and a departure time.
优选的,所述时空间隔为从起飞/激活航班的位置,所述飞行交互为使用修订的飞行计划。Preferably, the time-space interval is the position from the takeoff/activation flight, and the flight interaction is using a revised flight plan.
(三)有益效果(3) Beneficial effects
与现有技术相比,本发明提供了一种基于分布式决策模型的FAB的流量管理方法,具备以下有益效果:Compared with the prior art, the present invention provides a FAB traffic management method based on a distributed decision model, which has the following beneficial effects:
1、该基于分布式决策模型的FAB的流量管理方法,通过设计一种功能性扇区的空域优化方法来代替现有的空域扇区划分技术,提高了扇区之间飞行信息、流量信息的共享性,同时提升了空域内的服务质量,减少飞机在空中拥堵的概率,可以减少航路中的燃油消耗及废气排放,同时提升了飞行的安全性。这种方法比传统的根据管制员负荷的划分方法更客观、高效,不会受到人等主观因素的影响,功能更强大。也会减少空中交通管制人员和飞行员的工作负荷。其是空域扇区优化方法未来发展的趋势,可持续对日益增长的空域内民航航班进行安全、准确、快速、绿色地协调和调度。1. The FAB flow management method based on the distributed decision model replaces the existing airspace sector division technology by designing a functional sector airspace optimization method, which improves the flight information and flow information between sectors. Sharing, at the same time, improves the quality of service in the airspace, reduces the probability of aircraft congestion in the air, reduces fuel consumption and exhaust emissions on the route, and improves flight safety. This method is more objective and efficient than the traditional division method based on controller load, it will not be affected by subjective factors such as people, and its function is more powerful. It will also reduce the workload of air traffic controllers and pilots. It is the future development trend of the airspace sector optimization method, which can continuously coordinate and schedule civil aviation flights in the growing airspace in a safe, accurate, fast and green way.
附图说明Description of drawings
图1为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的无交互轨迹规划的FAB之间信息共享的概念示意图;FIG. 1 is a conceptual schematic diagram of information sharing between FABs without interaction trajectory planning of a FAB traffic management method based on a distributed decision model proposed by the present invention;
图2为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的FAB-A,FAB-B和FAB-C和四个飞行场景(A,B,C和D)示意图;2 is a schematic diagram of FAB-A, FAB-B and FAB-C and four flight scenarios (A, B, C and D) of a FAB traffic management method based on a distributed decision model proposed by the present invention;
图3为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的飞行交互矩阵更新过程示意图;3 is a schematic diagram of a flight interaction matrix update process of a FAB traffic management method based on a distributed decision model proposed by the present invention;
图4为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的轨迹i的采样点的交互示意图;4 is a schematic diagram of interaction of sampling points of trajectory i of a FAB traffic management method based on a distributed decision model proposed by the present invention;
图5为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的虚拟航路点M的初始轨迹和交替轨迹示意图;5 is a schematic diagram of the initial trajectory and the alternate trajectory of the virtual waypoint M of a FAB flow management method based on a distributed decision model proposed by the present invention;
图6为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的用于冲突检测的四维网格示意图;6 is a schematic diagram of a four-dimensional grid for conflict detection of a FAB traffic management method based on a distributed decision model proposed by the present invention;
图7为本发明提出的一种基于分布式决策模型的FAB的流量管理方法的模拟退火和爬山局部搜索的混合算法结构示意图。FIG. 7 is a schematic structural diagram of a hybrid algorithm of simulated annealing and hill-climbing local search of a FAB traffic management method based on a distributed decision model proposed by the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
请参阅图1-7,一种基于分布式决策模型的FAB的流量管理方法,包括以下步骤:Please refer to Figure 1-7, a FAB traffic management method based on distributed decision model, including the following steps:
A、拟建模型:A. The proposed model:
步骤1,定义任意两条飞行轨迹间的干扰或冲突为飞行交互;Step 1, define the interference or conflict between any two flight trajectories as flight interaction;
步骤2,建立一个分布式决策模型,分布式决策模型基于元启发式方法,采用模拟退火和爬山局部搜索相结合的混合算法来分离给定的一组相互作用的飞行器轨迹,用于解决飞行交互的分布式决策源于一种创新的数据结构,称为FAB-飞行交互矩阵,其捕获FAB之间和内部的飞行交互信息,该模型能够在各个FAB之间实现有效的信息共享,实现无交互的4-D轨迹规划,通过计算和重新设定给定FAB中的每个飞行计划(路线和起飞时间),达到在空间和时域中分离一组给定的飞机轨迹;
如图1所示,对于所述FAB-飞行交互矩阵,空域用户(航空公司,机场,空中航行服务提供者等)向管制中心提交相关信息(飞行计划,航班时刻,容量),管制中心随后应用集中交通流量管理战略,以满足需求与容量和其他空域限制并生成修订的飞行计划,然后将这些飞行计划用作FAB-飞行交互矩阵的输入,它是一个二维(2-D)矩阵,捕获FAB之间和之内的飞行交互信息,矩阵的一个维度称为控制FAB,另一个维度称为中间FAB。As shown in Figure 1, for the FAB-Flight Interaction Matrix, airspace users (airlines, airports, ANSPs, etc.) submit relevant information (flight plans, schedules, capacity) to the control center, which then applies Centralize traffic flow management strategies to meet demand and capacity and other airspace constraints and generate revised flight plans, which are then used as input to the FAB-Flight Interaction Matrix, a two-dimensional (2-D) matrix that captures Flight interaction information between and within FABs, one dimension of the matrix is called the control FAB and the other dimension is called the intermediate FAB.
对于所述FAB-飞行交互矩阵,控制FAB的定义为:1.航班出发时所在的FAB,2.进入给定空域时经过的第一个FAB;For the FAB-flight interaction matrix, the control FAB is defined as: 1. the FAB where the flight departs, 2. the first FAB that passes through when entering a given airspace;
中间FAB的定义为:1.给定航班穿越过的FAB;2给定航班在给定空域内着陆时所在的FAB;3.离开给定空域时最后经过的FAB。The definition of the intermediate FAB is: 1. The FAB that a given flight traverses; 2. The FAB where the given flight lands when it lands in the given airspace; 3. The last FAB that passes when leaving the given airspace.
如图2所示,航班A从外部进入FAB-B,因此它是控制FAB,航班A穿过FAB-A并终止于FAB-C,因此它们被称为中间FAB,同样,B航班起飞和终止于FAB-B,因此FAB-B既是B航班的控制和中间FAB,对于航班C,起点是FAB-A(控制FAB),它穿过FAB-C(中间FAB)在离开空域之前,因此,航班可能有多个中间FAB,但只有一个控制FAB。As shown in Figure 2, flight A enters FAB-B from the outside, so it is the controlling FAB, flight A goes through FAB-A and ends at FAB-C, so they are called intermediate FABs, likewise, flight B takes off and terminates to FAB-B, so FAB-B is both the control and intermediate FAB for flight B, for flight C, the origin is FAB-A (controlling FAB), which crosses FAB-C (intermediate FAB) before leaving the airspace, so the flight There may be multiple intermediate FABs, but only one controlling FAB.
B.功能空域块-飞行交互矩阵:B. Functional Airspace Block-Flight Interaction Matrix:
步骤3,建立一个FAB模型以及FAB-飞行交互矩阵,FAB-飞行交互矩阵的捕获从控制FAB到中间FAB过程中由飞行器引起的交互次数,然后通过在控制FAB中实现时空间隔(从起飞/激活航班的位置)来解决飞行交互,并且相应地更新飞行计划,解决后,重新计算飞行交互(使用修订的飞行计划),并更新FAB飞行交互矩阵,此过程将继续,直到所有飞行交互都得到解决;Step 3, build a FAB model and FAB-flight interaction matrix, the FAB-flight interaction matrix captures the number of interactions caused by the aircraft during the process from the control FAB to the intermediate FAB, and then realizes the time-space interval (from take-off/activation) in the control FAB. position of the flight) to resolve the flight interactions and update the flight plan accordingly, when resolved, recalculate the flight interactions (using the revised flight plan), and update the FAB flight interaction matrix, this process continues until all flight interactions are resolved ;
如表1所示,对于给定空域A中的N个FAB,列出N行和N列的2-D矩阵。矩阵的行向量表示由i=1,2,...,N时的中间FAB Ii中的控制FAB Cj引起的飞行交互的数量。矩阵的列向量表示在一个中间FAB Ii中的j=1,2,...,N的控制FAB Cj引起的飞行交互次数:As shown in Table 1, for N FABs in a given space A, a 2-D matrix of N rows and N columns is listed. The row vectors of the matrix represent the number of flight interactions caused by the control FAB C j in the intermediate FAB I i for i=1, 2, . . . , N. The column vector of the matrix represents the number of flight interactions caused by the control FAB C j for j = 1, 2, ..., N in an intermediate FAB I i :
表1飞行交互矩阵(1)Ii=[INT(Cj,IA)INT(Cj,IB)INT(Cj,Ii)Table 1 Flight interaction matrix (1)I i =[INT(C j ,I A )INT(C j ,I B )INT(C j ,I i )
(2) (2)
如表1所示,由FAB CA在中间FAB IA中控制的飞行引起的飞行交互由行FAB CA和列FAB IA给出,并由INT(CA,IA)表示。类似地,由FAB CC在同一中间FAB(即FAB IC)中控制的飞行引起的飞行交互的数量由行FAB CC和列FAB IC给出,As shown in Table 1, the flight interactions caused by the flight controlled by FAB C A in the middle FAB I A are given by row FAB C A and column FAB I A , and represented by INT(C A , I A ). Similarly, the number of flight interactions caused by flights controlled by FAB C C in the same intermediate FAB (i.e. FAB IC ) is given by row FAB C C and column FAB IC ,
因此,给定FAB i中的飞行交互的总数U可以通过对列向量求和来给出:Thus, the total number U of flight interactions in a given FAB i can be given by summing the column vectors:
(3) (3)
给定空域A(包括N个FAB)中的总飞行交互V可由下式给出:The total flight interaction V in a given airspace A (including N FABs) can be given by:
(4) (4)
对于给定空域A,每个FAB在总体飞行交互中的平均贡献可由下式给出For a given airspace A, the average contribution of each FAB to the overall flight interaction is given by
(5)Ujre1=Uj/V,j=1...N(5) U jre1 =U j /V, j=1...N
C.交通流量管理策略:C. Traffic flow management strategy:
首先,将具有最高飞行交互数的中间FAB识别为候选FAB[等式6]:First, the intermediate FAB with the highest number of flight interactions is identified as a candidate FAB [Equation 6]:
(6)FAB Ii=MAX(UA,UB,...,UN)(6) FAB I i =MAX(U A , U B , . . . , U N )
然后,对于FAB Ii,确定了生成最大数量的飞行交互的控制FAB Cj[等式(7)]:Then, for FAB I i , the control FAB C j that generates the largest number of flight interactions is determined [equation (7)]:
(7)FAB Cj=MAX(INT(CA,Ii),INT(CB,Ii),...,INT(CN,Ii)),然后将ATFM策略(时空分离)应用于控制FAB Cj的随机选择(适应性比例选择)飞行,适应度比例法意味着选择航班的概率仅与其引起的交互次数成比例,根据修订的飞行计划重新计算飞行交互,并更新FAB飞行交互矩阵,重复该过程直到FAB-飞行交互矩阵最小总体交互,图3说明了更新过程,其中每个FAB做出的决策由优化过程评估,然后,基于FABs-飞行交互矩阵的交互信息被反馈给每个FAB,然后FAB做出新的决定并重复该过程,直到达到导致最小总体交互的解决方案;(7) FAB C j =MAX(INT(C A ,I i ),INT(C B ,I i ),...,INT(C N ,I i )), then apply the ATFM strategy (spatiotemporal separation) To control the randomly selected (adaptive proportional selection) flight of FAB Cj, the fitness proportional method means that the probability of selecting a flight is only proportional to the number of interactions it causes, recalculate flight interactions according to the revised flight plan, and update the FAB flight interaction matrix , the process is repeated until the FABs-flight interaction matrix minimum overall interaction, Figure 3 illustrates the update process, where the decisions made by each FAB are evaluated by the optimization process, and then the interaction information based on the FABs-flight interaction matrix is fed back to each FAB, then FAB makes new decisions and repeats the process until a solution is reached that results in the smallest overall interaction;
D.数学建模:D. Mathematical modeling:
步骤4,将上述抽象为数学模型(即当达到导致最小总体交互时,基于的路径/出发时间分配技术,为交互中的每个航班找到替代的4-D轨迹),解决轨迹之间的相互作用;Step 4, abstract the above into a mathematical model (i.e., when reaching the minimum overall interaction, based on the route/departure time allocation technique, find an alternative 4-D trajectory for each flight in the interaction), solve the interaction between the trajectories effect;
a、轨迹间的相互作用:a. Interaction between trajectories:
轨迹之间的相互作用指示两个或更多轨迹何时在相同的时间段占据相同的空间,它与冲突情况不同,冲突情况简单地对应于违反最小间隔(即水平5英里和垂直1000英尺),交互的概念考虑了冲突的持续时间,时间分离,轨迹交叉的拓扑,轨迹之间的距离。The interaction between trajectories indicates when two or more trajectories occupy the same space for the same time period, it differs from a conflict situation, which simply corresponds to a violation of the minimum separation (i.e. 5 miles horizontally and 1000 feet vertically) , the concept of interaction takes into account the duration of the conflict, the temporal separation, the topology of the intersection of trajectories, the distance between trajectories.
考虑一组给定的N个离散4-D轨迹,其中每个轨迹i是4-D坐标Pi,k(xi,k,yi,k,zi,k,ti,k)的时间序列,指定飞机必须在时间ti到达给定点(xi,k,yi,k,zi,k),其中k=1,...,Ki,Ki是轨迹i的采样点数。Consider a given set of N discrete 4-D trajectories , where each trajectory i is the A time series, specifying that an aircraft must arrive at a given point ( xi,k , yi,k , zi ,k ) at time ti, where k=1, . . . , Ki, Ki is the number of sampling points for trajectory i .
考虑轨迹i的点k,点Pi,k处的相互作用(表示为Φi,k)可以被定义为违反点Pi的保护体积的总次数,图4表示出了在点Pi,k处测量的N=3个轨迹之间的水平面中的相互作用;Considering point k of trajectory i, the interaction at point P i,k (denoted as Φ i,k ) can be defined as the total number of violations of the guard volume at point Pi, and Fig. 4 shows that at point P i,k Measured interactions in the horizontal plane between N=3 trajectories;
因此将与轨迹i相关联的相互作用(表示为Φi)定义为The interaction associated with trajectory i (denoted Φ i ) is thus defined as
(8) (8)
最后,对于整个交通状况,轨迹之间的总相互作用Φtot简单地定义为Finally, for the entire traffic situation, the total interaction Φ tot between trajectories is simply defined as
(9) (9)
可以观察到,轨迹之间的相互作用的测量隐含地考虑了轨迹之间的冲突的持续时间;It can be observed that the measurement of the interaction between trajectories implicitly takes into account the duration of the conflict between trajectories;
b、航线/离港时间分配:b. Allocation of route/departure time:
为分离三维(3-D)空间和时域中的轨迹,制定基于的路径/出发时间分配技术,为每个航班找到替代的4-D轨迹,以最小化轨迹之间的总相互作用;To separate trajectories in three-dimensional (3-D) space and time domain, formulate a route/departure time assignment technique based on finding alternative 4-D trajectories for each flight to minimize the total interaction between trajectories;
给定数据:问题实例由下式给出:Given data: problem instances are given by:
1)一组初始N离散化的4-D轨迹以及相关的控制FAB;1) A set of initial N discretized 4-D trajectories and associated control FABs;
2)离散化时间步长Δt;2) Discretization time step Δt ;
3)允许的虚拟航路点数M;3) The allowed number of virtual waypoints M;
4)每个航班i的最大允许提前出发时间班次, 4) The maximum allowable advance departure time for each flight i,
5)出发时移步长δs;5) Shift step length δ s when starting;
6)每个航班i的最大允许延迟出发时间偏移, 6) The maximum allowable delayed departure time offset for each flight i,
7)每个航班i允许的最大路由长度扩展系数,0≤di≤1;7) The maximum routing length expansion factor allowed for each flight i, 0≤d i ≤1;
8)每次飞行的初始航路段的长度i,Li,0。8) The length i, Li,0 of the initial flight segment of each flight.
替代出发时间和分配给每个航班的替代路线建模如下:The alternate departure times and alternate routes assigned to each flight are modeled as follows:
替代出发时间:每个航班的出发时间可以通过正(延迟)或负(提前)时移来改变,设δi∈Δi是归因于航班i的出发时间偏移,其中Δi是航班i的一组可接受的时移;因此,飞行i的起飞时间ti是ti=ti,0+δi,其中ti,0是最初计划的飞行起飞时间i。出发时间偏移δi将被限制在区间中。机场的通常做法使我们依赖于使用时移步长δs的该时间间隔的离散化。这产生可能的提前时隙和可能的飞行i的延迟时隙,因此,定义了飞行i的所有可能的出发时间偏移的集合Δi,Alternative departure time: the departure time of each flight can be changed by a positive (delayed) or negative (advance) time shift, let δ i ∈ Δ i be the departure time offset due to flight i, where Δ i is flight i A set of acceptable time shifts for ; therefore, the takeoff time ti for flight i is ti = t i ,0 + δ i , where t i,0 is the originally planned takeoff time i for flight i. The departure time offset δi will be limited to the interval middle. The usual practice at airports makes us rely on the discretization of this time interval using a time-shift step size δ s . This produces possible advance slots and the delay slots for possible flight i, thus defining the set Δi of all possible departure time offsets for flight i ,
(10) (10)
替代轨迹设计:在这项工作中,通过放置一组虚拟航路点来构建替代轨迹,表示为:Alternative trajectory design: In this work, an alternative trajectory is constructed by placing a set of virtual waypoints, expressed as:
(11) (11)
(12)在初始航路段附近,然后通过用直线段重新连接连续航路点,如图5所示,为了限制航线长度延伸,则必须满足航路的替代航路概况。(12) In the vicinity of the initial route segment, and then by reconnecting consecutive waypoints with straight segments, as shown in Figure 5, in order to limit the route length extension, an alternate route profile for the route must be satisfied.
其中Li(wi)是由wi确定的替代航路剖面的长度。图4示出了用M=2个航路点构造的初始和替代轨迹,其中每个航路点的位置被约束在矩形可能的位置。设W是轨迹i上第m虚拟航路点的所有可能的归一化纵向位置的集合。对于每个轨迹i,归一化的纵向分量w被设置为位于该间隔中,where Li ( wi ) is the length of the surrogate airway profile determined by wi . Figure 4 shows initial and alternative trajectories constructed with M=2 waypoints, where the position of each waypoint is constrained to a rectangle of possible positions. Let W be the set of all possible normalized longitudinal positions of the mth virtual waypoint on trajectory i. For each trajectory i, the normalized longitudinal component w is set to lie in that interval,
(13) (13)
其中bi是(用户定义的)参数,其定义轨迹i上第m虚拟航路点的可能归一化纵向分量的范围。为了获得规则的轨迹,两个相邻航路点的归一化纵向分量不得重叠,即,where bi is a (user-defined) parameter that defines the range of possible normalized longitudinal components of the mth virtual waypoint on trajectory i. To obtain a regular trajectory, the normalized longitudinal components of two adjacent waypoints must not overlap, i.e.,
(14) (14)
因此用户应该选择biSo the user should choose bi
(15) (15)
设W是轨迹i上第m个虚拟航点的所有可能的归一化横向位置的集合。类似地,归一化的横向分量w被限制在以下区间中:Let W be the set of all possible normalized lateral positions of the mth virtual waypoint on trajectory i. Similarly, the normalized transverse component w is restricted to the following interval:
(16) (16)
其中0≤a≤1是(用户定义的)模型参数,其定义轨迹i上的第m虚拟航点的可能归一化横向位置的范围,先验地选择以满足等式(12);where 0≤a≤1 are (user-defined) model parameters that define the range of possible normalized lateral positions of the mth virtual waypoint on trajectory i, chosen a priori to satisfy equation (12);
设置紧凑的矢量符号:Set up compact vector notation:
δ:=δ1,δ2,...,δN,w:=w1,w2,...,wN δ: = δ1, δ2 ,..., δN ,w: = w1, w2 ,..., wN
使用ui表示u的组成部分。它是一个向量,其成分与第i个轨迹的修改有关;因此,决策变量是Use ui to represent the components of u. It is a vector whose components are related to the modification of the ith trajectory; therefore, the decision variable is
u:=(δ,w)u:=(δ, w)
(17)minu=(δ,w)Φtot(u)(17) min u = (δ, w) Φ tot (u)
条件为:The conditions are:
δi∈Δi δ i ∈Δ i
其中,i=1,...,N,m=1,...,M,和分别由等式13和等式16定义;where i=1,...,N, m=1,...,M, and are defined by Equation 13 and Equation 16, respectively;
E.相互作用:E. Interaction:
首先,对空域进行离散化,使用四维网格(三维时空)进行冲突检测,如图6所示,作为三维网格的时间序列进行离散化采样Δt=tn-tn-1,三维网格中每个单元的大小由最小分离要求(Nh和Nv)决定,在四维网格中,每个单元格的大小由最小分隔来定义,需求和离散化时间步骤Δt,然后,对于每个给定的四维坐标pi,k(xi,k,yi,k,zi,k,ti,k)确定对应的网格,Ci,j,k,t四维网格包含pi,k(xi,k,yi,k,zi,k,ti,k),然后,确定对应每个这样的网格Ci,j,k,t,并依次检查其周围的网格(有33=27个这样的相邻网格,包括Ci,j,k,t本身),若一个小网格被飞机i本身以外的飞机占用,则测量相应飞机坐标之间的水平距离dh和垂直距离dv,当dh<Nh和dv<Nv时,发现违反保护数量;First, discretize the space domain, and use a four-dimensional grid (three-dimensional space-time) for conflict detection. As shown in Figure 6, the time series as a three-dimensional grid is discretized and sampled Δt=t n -t n-1 , and the three-dimensional grid The size of each cell in is determined by the minimum separation requirement (N h and N v ), and in a 4D grid, the size of each cell is defined by the minimum separation, requirement and discretization time step Δt, then, for each The given four-dimensional coordinates p i,k (x i,k ,y i,k ,z i,k ,t i,k ) determine the corresponding grid, and the C i,j,k,t four-dimensional grid contains p i , k (x i,k ,y i,k ,z i,k ,t i,k ), then determine the corresponding meshes C i,j,k,t for each such mesh, and examine the meshes around it in turn grid (there are 3 3 = 27 such adjacent grids, including C i,j,k,t itself), if a small grid is occupied by an aircraft other than aircraft i itself, measure the level between the corresponding aircraft coordinates Distance dh and vertical distance d v , when dh < N h and d v < N v , the number of violations of protection is found;
为了避免低估交互作用,避免使用较小的值,导致轨迹样本数多,计算时间长,提出了一种内环算法检测两个采样时间和之间的交互作用,通过插入足够小步长的飞机位置,只有在没有交互作用的情况下才执行插值,在时间检测到,然后,一个检查每一对这些内插点,该算法在识别交互作用或检查每一对插值点时停止。In order to avoid underestimating the interaction and avoid using smaller values, resulting in a large number of trajectory samples and a long calculation time, an inner loop algorithm is proposed to detect the interaction between two sampling times and, by inserting planes with a sufficiently small step size Position, interpolation is performed only if there are no interactions, detected at time, and then, one checks each pair of these interpolated points, the algorithm stops when an interaction is identified or each pair of interpolated points is checked.
F.算法:F. Algorithm:
分布式ATFM模型的四维轨迹规划方法依赖于第三部分中引入的交互最小化问题,其目标函数值通过第四部分开发的交互检测方案模拟得到,本文采用了一种混合元启发式方法来处理空中交通分配问题,它依赖于经典的模拟退火(SA)算法和两个不同的局部搜索(LS)模块,局部搜索算法允许系统加强对潜在候选解决方案的搜索,而模拟退火算法允许系统从本地陷阱中逃脱,从而确保探索解决方案空间。The four-dimensional trajectory planning method of the distributed ATFM model relies on the interaction minimization problem introduced in the third part, and its objective function value is simulated by the interaction detection scheme developed in the fourth part. This paper adopts a hybrid meta-heuristic method to deal with The air traffic assignment problem, which relies on the classical simulated annealing (SA) algorithm, which allows the system to intensify the search for potential candidate solutions, and two different local search (LS) modules, while the simulated annealing algorithm allows the system to search from local Escape from traps, thus ensuring exploration of the solution space.
这是一种经典的元启发式随机优化方法,允许偶尔的移动使目标函数的值变差,从而逃避局部极小值,这种恶化的移动随着迭代次数的增加而越来越少。This is a classic meta-heuristic stochastic optimization method that allows occasional moves that worsen the value of the objective function, escaping local minima, and such worsening moves become less and less with the number of iterations.
模拟退火算法的概念是建立在一个强烈的类比与物理退火的材料。这个过程包括在提高温度后将固体带入低能状态.可以概括一下按以下两个步骤进行:The concept of the simulated annealing algorithm is based on a strong analogy with physical annealing of materials. This process involves bringing the solid into a lower energy state after increasing the temperature. It can be summarized as the following two steps:
1)将固体带到很高的温度,直至结构熔化;1) Bring the solid to a very high temperature until the structure melts;
2)根据一种非常特殊的降温方案冷却固体,使其达到能量最小的固态。2) The solid is cooled according to a very specific cooling scheme to the minimum energy solid state.
在液相中,粒子是随机分布的,结果表明,在初始温度足够高,冷却时间较短的情况下,可以达到最小能量状态,非常长。如果不是这种情况,固体将以非最小能量处于亚稳态,这称为硬化,即固体的突然冷却。调温物理系统中的真理类似于优化问题中的控制参数,其中问题的目标函数类似于系统的能量状态。因为,从一个I数值解、模拟退火算法可以进行多次迭代,每次迭代都会产生一个随机邻域。改进成本功能的动作总是被接受的。因此,在给定的温度下,目标函数的增加越低,接受移动的可能性越大,温度越高,接受最坏动作的概率越大。In the liquid phase, where the particles are randomly distributed, it turns out that the minimum energy state can be reached, very long, with a sufficiently high initial temperature and short cooling time. If this were not the case, the solid would be in a metastable state with non-minimum energy, which is called hardening, the sudden cooling of the solid. The truth in thermoregulated physical systems is analogous to the control parameters in optimization problems, where the objective function of the problem is analogous to the energy state of the system. Because, from a numerical solution of I, the simulated annealing algorithm can perform multiple iterations, each iteration yielding a random neighborhood. Actions to improve the cost function are always accepted. Therefore, at a given temperature, the lower the increase in the objective function, the more likely it is to accept a move, and the higher the temperature, the more likely it is to accept the worst action.
所提出的混合算法组合模拟退火算法和局部搜索算法,使得局部搜索算法被认为是模拟退火算法的内环,其将在满足预定义条件时执行,如图7所示。The proposed hybrid algorithm combines the simulated annealing algorithm and the local search algorithm, so that the local search algorithm is considered as the inner loop of the simulated annealing algorithm, which will be executed when the predefined conditions are met, as shown in Fig. 7.
模拟退火过程如下:The simulated annealing process is as follows:
首先,我们在当前配置下对目标函数(w,δ)C进行了评估。表示为φC.然后,由邻域函数生成一个邻域解(w,δ)N。然后,根据预定义的邻域结构为所选择的飞行生成一个新的解决方案。如果邻域解改进了目标函数值,则被接受。否则,它被接受的概率e-Δφ/T,其中Δφ=φN-φC是当前态C与新态N之间的能量差。当在给定温度下达到最大迭代次数ηT时,温度会根据用户提供的预定义时间表降低,并重复这一过程,直到达到预定的终温Tfinal。First, we evaluate the objective function (w,δ) C under the current configuration. Denoted as φ C . Then, a neighborhood solution (w,δ) N is generated by the neighborhood function. Then, a new solution is generated for the selected flight based on the predefined neighborhood structure. Accepted if the neighborhood solution improves the objective function value. Otherwise, it is accepted with probability e - Δφ/T , where Δφ = φ N - φ C is the energy difference between the current state C and the new state N. When the maximum number of iterations η T is reached at a given temperature, the temperature is decreased according to a predefined schedule provided by the user, and the process is repeated until a predetermined final temperature T final is reached.
局部搜索模块:我们使用的局部搜索模块是启发式方法,只有在目标函数减少的情况下才能接受新的解。该过程重复,直到找不到进一步的改进,或直到最大的迭代次数局部搜索模块对应于以下两种策略:Local Search Module: The local search module we use is a heuristic that accepts new solutions only if the objective function is reduced. The process repeats until no further improvement is found, or until the maximum number of iterations The local search module corresponds to the following two strategies:
1)加强对某一特定轨迹的搜索,给定航班i,此状态利用步骤侧重于改进当前的解决方案,方法是应用从邻域结构到i航班的局部更改(只有决策变量受到影响;1) Enhancing the search for a particular trajectory, given flight i, this state utilization step focuses on improving the current solution by applying local changes from the neighborhood structure to flight i (only decision variables are affected;
2)加强对相互作用轨迹的搜索,在给定航班i的情况下,该状态开发步骤应用从邻域结构到每个航班的本地改变,该航班既受到与航班i相同的控制FAB并且当前与航班i进行交互。2) Enhancing the search for interaction trajectories, this state development step, given flight i, applies local changes from the neighborhood structure to each flight that is both subject to the same control FAB as flight i and currently has the same flight i to interact.
邻域结构:提出的混合算法依赖于邻域结构来决定下一步的移动。首先,识别出产生最高比例的交互的FAB。然后,选择已识别的FAB的某次飞行,使得与轨迹i有相关的交互,φi≥τ。φavg,其中τ是用户定义的参数,φavg=φtot/N是交互的平均值。Neighborhood structure: The proposed hybrid algorithm relies on the neighborhood structure to decide the next move. First, identify the FAB that produces the highest proportion of interactions. Then, a flight of the identified FAB is chosen such that there is a relevant interaction with trajectory i, φ i ≥ τ. φ avg , where τ is a user-defined parameter and φ avg = φ tot /N is the average value of the interaction.
若要从当前配置(wi,δi)C为给定飞行i生成邻域解决方案,则在下一次行动中,必须决定是修改点的位置,还是修改出发时间。一般来说,在时域内寻找解决方案会更好,因为它不会导致额外的燃料消耗。然而,经验测试表明,将搜索限制到仅仅自由度会导致计算时间过长。因此,引入了一个用户定义的参数pw来控制修改路径点位置的概率,使得修改的概率更确切地说是离开时间为1-pw。在给定的航班i上,邻域算子根据这个概率pw生成一组新的虚拟路径点或一个新的替代离开时间。To generate a neighborhood solution for a given flight i from the current configuration ( wi ,δi) C , in the next action, a decision must be made whether to modify the position of the point, or to modify the departure time. In general, it is better to find a solution in the time domain, as it does not lead to additional fuel consumption. However, empirical tests have shown that restricting the search to only degrees of freedom results in excessively long computation times. Therefore, a user-defined parameter pw is introduced to control the probability of modifying the position of the waypoint such that the probability of modification is more precisely the departure time of 1- pw . On a given flight i, the neighborhood operator generates a new set of virtual waypoints or a new alternative departure time according to this probability pw .
混合算法(SA和LS):根据预定义的概率运行,这些概率与控制温度T成正比。Hybrid algorithms (SA and LS): operate according to predefined probabilities proportional to the control temperature T.
(18)执行SA步骤的概率,PSA,式中PSA,max和PSA,min是执行模拟退火步骤的最大和最小概率(由用户预定义)。(18) The probability of executing the SA step, P SA , where PSA,max and PSA,min are the maximum and minimum probabilities (predefined by the user) to perform the simulated annealing step.
(19)运行LS模块的概率,PLOC,式中PLOC,max和PLOC,min是执行模拟退火步骤的最大和最小概率(由用户预定义)。(19) The probability of running the LS module, P LOC , where P LOC,max and P LOC,min are the maximum and minimum probabilities (predefined by the user) to perform the simulated annealing step.
(20)最后同时进行SA和LS的概率,表达式为:(20) The probability of performing both SA and LS at the end is expressed as:
PSL(T)=1-(PSA(T)+PLOC(T))P SL (T)=1-(P SA (T)+P LOC (T))
综上所述,该基于分布式决策模型的FAB的流量管理方法,通过设计一种功能性扇区的空域优化方法来代替现有的空域扇区划分技术,提高了扇区之间飞行信息、流量信息的共享性,同时提升了空域内的服务质量,减少飞机在空中拥堵的概率,可以减少航路中的燃油消耗及废气排放,同时提升了飞行的安全性。这种方法比传统的根据管制员负荷的划分方法更客观、高效,不会受到人等主观因素的影响,功能更强大。也会减少空中交通管制人员和飞行员的工作负荷。其是空域扇区优化方法未来发展的趋势,可持续对日益增长的空域内民航航班进行安全、准确、快速、绿色地协调和调度。To sum up, the FAB flow management method based on the distributed decision model replaces the existing airspace sector division technology by designing a functional sector airspace optimization method, which improves the flight information, The sharing of flow information also improves the quality of service in the airspace, reduces the probability of aircraft congestion in the air, reduces fuel consumption and exhaust emissions on the route, and improves flight safety. This method is more objective and efficient than the traditional division method based on controller load, it will not be affected by subjective factors such as people, and its function is more powerful. It will also reduce the workload of air traffic controllers and pilots. It is the future development trend of the airspace sector optimization method, which can continuously coordinate and schedule civil aviation flights in the growing airspace in a safe, accurate, fast and green way.
需要说明的是,术语“包括”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。It should be noted that the term "comprising" or any other variation thereof is intended to encompass a non-exclusive inclusion such that a process, method, article or device comprising a list of elements includes not only those elements, but also not expressly listed Other elements, or elements that are inherent to such a process, method, article or apparatus. Without further limitation, an element qualified by the phrase "comprising a..." does not preclude the presence of additional identical elements in a process, method, article or apparatus that includes the element.
尽管已经示出和描述了本发明的实施例,对于本领域的普通技术人员而言,可以理解在不脱离本发明的原理和精神的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由所附权利要求及其等同物限定。Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, and substitutions can be made in these embodiments without departing from the principle and spirit of the invention and modifications, the scope of the present invention is defined by the appended claims and their equivalents.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN113570910A (en) * | 2021-06-30 | 2021-10-29 | 北京百度网讯科技有限公司 | Air traffic flow management method, apparatus and electronic equipment |
WO2022034333A1 (en) * | 2020-08-12 | 2022-02-17 | Airspace Unlimited Scotland Ltd | A method of optimising airspace blocks within an airspace |
CN114783213A (en) * | 2022-03-30 | 2022-07-22 | 南京莱斯信息技术股份有限公司 | Automatic verification method of civil aviation flight dynamic telegram and airspace unit operating status |
CN115220480A (en) * | 2022-07-08 | 2022-10-21 | 北斗伏羲中科数码合肥有限公司 | Unmanned aerial vehicle track planning method and device with constraint conditions and electronic equipment |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
RU2376645C1 (en) * | 2008-12-29 | 2009-12-20 | ЗАО "ВНИИРА-Навигатор" | Method of preventing collision of airplanes and helicopters with terrain features and device based on said method |
CA2774088A1 (en) * | 2011-04-14 | 2012-10-14 | Thales | Method for locating aircraft which is independent of any satellite navigation system |
CN103473955A (en) * | 2013-09-17 | 2013-12-25 | 中国民航大学 | Terminal sector dividing method based on graph theory and spectral clustering algorithm |
CN109191925A (en) * | 2018-10-17 | 2019-01-11 | 中国电子科技集团公司第二十八研究所 | A kind of more airspace trajectory plannings and machinery of consultation towards the operation of four-dimensional track |
CN109598985A (en) * | 2019-01-14 | 2019-04-09 | 南京航空航天大学 | Air route resources co-allocation method |
-
2019
- 2019-09-27 CN CN201910925331.9A patent/CN110648560A/en active Pending
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
RU2376645C1 (en) * | 2008-12-29 | 2009-12-20 | ЗАО "ВНИИРА-Навигатор" | Method of preventing collision of airplanes and helicopters with terrain features and device based on said method |
CA2774088A1 (en) * | 2011-04-14 | 2012-10-14 | Thales | Method for locating aircraft which is independent of any satellite navigation system |
CN103473955A (en) * | 2013-09-17 | 2013-12-25 | 中国民航大学 | Terminal sector dividing method based on graph theory and spectral clustering algorithm |
CN109191925A (en) * | 2018-10-17 | 2019-01-11 | 中国电子科技集团公司第二十八研究所 | A kind of more airspace trajectory plannings and machinery of consultation towards the operation of four-dimensional track |
CN109598985A (en) * | 2019-01-14 | 2019-04-09 | 南京航空航天大学 | Air route resources co-allocation method |
Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2022034333A1 (en) * | 2020-08-12 | 2022-02-17 | Airspace Unlimited Scotland Ltd | A method of optimising airspace blocks within an airspace |
CN113570910A (en) * | 2021-06-30 | 2021-10-29 | 北京百度网讯科技有限公司 | Air traffic flow management method, apparatus and electronic equipment |
CN113570910B (en) * | 2021-06-30 | 2022-09-27 | 北京百度网讯科技有限公司 | Air traffic flow management method, apparatus and electronic equipment |
CN114783213A (en) * | 2022-03-30 | 2022-07-22 | 南京莱斯信息技术股份有限公司 | Automatic verification method of civil aviation flight dynamic telegram and airspace unit operating status |
CN114783213B (en) * | 2022-03-30 | 2023-11-21 | 南京莱斯信息技术股份有限公司 | Automatic verification method for operation states of civil aviation flight dynamic telegraph and airspace unit |
CN115220480A (en) * | 2022-07-08 | 2022-10-21 | 北斗伏羲中科数码合肥有限公司 | Unmanned aerial vehicle track planning method and device with constraint conditions and electronic equipment |
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