CN114638474A - A method for measuring the homogeneity of airport groups based on multidimensional indicators - Google Patents

A method for measuring the homogeneity of airport groups based on multidimensional indicators Download PDF

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CN114638474A
CN114638474A CN202210151963.6A CN202210151963A CN114638474A CN 114638474 A CN114638474 A CN 114638474A CN 202210151963 A CN202210151963 A CN 202210151963A CN 114638474 A CN114638474 A CN 114638474A
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苏佳明
胡明华
郭聪聪
丁文浩
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Nanjing University of Aeronautics and Astronautics
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Abstract

The invention provides an airport group homogeneity measurement method based on multidimensional indexes, which comprises the following steps: respectively designing corresponding homogenization measurement indexes based on the production construction level and the navigation network level of each airport in the airport group to be measured, and calculating the homogenization coefficient of each airport in the airport group relative to each homogenization measurement index, wherein the homogenization coefficient is used for quantifying the homogenization level; distributing weights to the homogeneity measurement indexes by an entropy weight method, and respectively calculating the comprehensive homogeneity level of production construction and the comprehensive homogeneity level of a navigation line network based on the weights; and distributing weights for the comprehensive homogenization level of the production construction and the comprehensive homogenization level of the air line network by using a Delphi weighting method to obtain the comprehensive homogenization level of the airport group. The method comprehensively measures the overall level of the homogenization development of the airport group, and can accurately position the airport pairs with serious homogenization tendency.

Description

基于多维指标的机场群同质化度量方法A method for measuring the homogeneity of airport groups based on multidimensional indicators

技术领域technical field

本发明属于民用航空技术领域,具体涉及一种基于多维指标的机场群同质化度量方法。The invention belongs to the technical field of civil aviation, and in particular relates to a method for measuring the homogeneity of airport groups based on multi-dimensional indicators.

背景技术Background technique

机场是民航业发展的重要载体,在民航业的发展过程中,催生了众多区域性的机场群,机场群内的机场在经济、人才等方面的交流具有协同发展趋势。机场群出现初期,机场群内部机场之间“抱团取暖”的公益性较大,可以实现机场之间的资源共享,进而有利于单个机场的发展壮大,从而形成具备“规模效应”和“集聚效应”的机场群。但随着机场群的发展成熟,机场群最初的发展模式会导致机场之间在机场保障能力、业务水平及通航航线网络等方面出现高度同质化,从而引起同质化竞争的不良趋势。通过对机场群内部机场进行不同层次的同质化度量,研究机场之间的同质化水平,可以为我国打造健康协同发展的世界级机场群提供理论依据和实际数据支撑。因此研究机场群同质化度量方法具有重要的理论意义和现实价值。Airports are an important carrier for the development of the civil aviation industry. During the development of the civil aviation industry, many regional airport clusters have been created, and the exchanges between the airports in the airport clusters in terms of economy and talents have a trend of coordinated development. In the early days of the emergence of airport clusters, the public welfare of "grouping together for warmth" among airports within the airport cluster is relatively large, which can realize the sharing of resources between airports, which is conducive to the development and growth of a single airport, thus forming a "scale effect" and "agglomeration effect". " of the airport group. However, with the development and maturity of the airport group, the initial development model of the airport group will lead to a high degree of homogeneity between airports in terms of airport support capability, business level and air route network, which will lead to an unfavorable trend of homogenized competition. By measuring the homogeneity of different levels of airports within the airport group and studying the level of homogeneity between airports, it can provide theoretical basis and practical data support for my country to build a world-class airport group with healthy and coordinated development. Therefore, it has important theoretical significance and practical value to study the method of measuring the homogeneity of airport clusters.

有关机场群同质化度量的国内外研究较少,仅有的几项定量的研究均重点围绕着航线网络或者航线运营对机场航线同质化进行分析,结合复杂航线网络的节点度等来表征区域机场的网络结构特征,或从航司、旅客和机场运营方面单独展开机场群优化运营的研究。There are few domestic and foreign studies on the homogeneity measurement of airport groups. The only quantitative studies focus on the analysis of the homogeneity of airport routes around the airline network or airline operation, and combine the node degree of the complex airline network to characterize it. The network structure characteristics of regional airports, or the research on the optimal operation of airport groups from the perspectives of airlines, passengers and airport operations.

发明内容SUMMARY OF THE INVENTION

针对上述现有技术中存在的缺陷,本发明提供一种综合衡量机场群同质化发展整体水平的基于多维指标的机场群同质化度量方法。In view of the above-mentioned defects in the prior art, the present invention provides a method for measuring the homogeneity of airport groups based on multi-dimensional indicators, which comprehensively measures the overall level of the homogenization development of airport groups.

本发明提出的技术方案如下:The technical scheme proposed by the present invention is as follows:

本发明公开了一种基于多维指标的机场群同质化度量方法,包括以下步骤:The invention discloses a method for measuring the homogeneity of airport groups based on multi-dimensional indicators, comprising the following steps:

基于待度量机场群中各机场的生产建设层面及航线网络层面分别设计对应的同质化度量指标,计算机场群内各机场对关于各同质化度量指标的同质化系数,其中所述同质化系数用于量化同质化水平;Based on the production and construction level and airline network level of each airport in the airport group to be measured, the corresponding homogenization metrics are respectively designed, and the homogenization coefficients of each airport pair in the airport group are calculated with respect to each homogenization metrics. The homogenization coefficient is used to quantify the homogenization level;

利用熵权法为所述同质化度量指标分配权重,基于所述权重分别计算生产建设综合同质化水平及航线网络综合同质化水平;The entropy weight method is used to assign weights to the homogenization metrics, and based on the weights, the comprehensive homogeneity level of production and construction and the comprehensive homogeneity level of airline networks are calculated respectively;

利用Delphi赋权法为所述生产建设综合同质化水平及航线网络综合同质化水平分配权重,得到机场群综合同质化水平。The Delphi weighting method is used to assign weights to the comprehensive homogeneity level of the production and construction and the comprehensive homogeneity level of the airline network to obtain the comprehensive homogeneity level of the airport group.

进一步地,所述生产建设层面同质化度量指标包括机场跑道数量、停机位数量、航站楼数量、起降架次、旅客吞吐量;所述航线网络层面同质化度量指标包括机场对与所有第三方通航机场间的航班量,其中所述机场对为机场群中任意两个机场的组合。Further, the homogenization metrics at the production and construction level include the number of airport runways, the number of parking spaces, the number of terminals, the number of take-offs and landings, and the passenger throughput; the homogenization metrics at the airline network level include airport pairs and all airports. The number of flights between third-party navigable airports, where the airport pair is a combination of any two airports in the airport group.

进一步地,待度量机场群中各机场对关于生产建设层面同质化度量指标的同质化系数计算过程如下:Further, the calculation process of the homogenization coefficient of each airport in the airport group to be measured is as follows:

Figure BDA0003510793360000021
Figure BDA0003510793360000021

其中,

Figure BDA0003510793360000022
为机场i的第k个同质化度量指标值,
Figure BDA0003510793360000023
为机场j的第k个同质化度量指标值。in,
Figure BDA0003510793360000022
is the k-th homogenization metric value of airport i,
Figure BDA0003510793360000023
is the k-th homogenization metric value of airport j.

进一步地,待度量机场群中各机场对关于机场对与所有第三方通航机场间的航班量的同质化系数计算过程如下:Further, the calculation process of the homogenization coefficient of each airport pair in the airport group to be measured regarding the number of flights between the airport pair and all third-party navigable airports is as follows:

获取待度量机场群内各机场与各第三方通航机场间的航班量;Obtain the flight volume between each airport in the airport group to be measured and each third-party navigable airport;

基于所述航班量计算各机场对关于机场对与各第三方通航机场间的航班量的同质化系数;Calculate the homogenization coefficient of each airport pair with respect to the flight volume between the airport pair and each third-party navigable airport based on the flight volume;

为机场对对应于各第三方通航机场的机场对航班量之和分配权重,计算各机场对关于机场对与所有第三方通航机场的航班量的同质化系数的加权平均值,其中所述加权平均值作为机场对关于机场对与所有第三方通航机场间的航班量的同质化系数。Assign a weight to the sum of the airport pair flight volumes corresponding to each third-party navigable airport, and calculate the weighted average of the homogenization coefficients of each airport pair with respect to the airport pair's flight volume with all third-party navigable airports, wherein the weighting The average is used as the homogenization factor for the airport pair with respect to the number of flights between the airport pair and all third-party navigable airports.

进一步地,所述方法还包括:Further, the method also includes:

所述各机场对关于机场对与各第三方通航机场间的航班量的同质化系数具体为通过以下公式计算:The homogenization coefficient of the number of flights between the airport pair and each third-party navigable airport is specifically calculated by the following formula:

Figure BDA0003510793360000024
Figure BDA0003510793360000024

其中,q表示航班量,i,t表示机场对中机场编号,s表示第三方通航机场编号;Among them, q represents the number of flights, i and t represent the airport number of the centering airport, and s represents the number of the third-party navigable airport;

所述为机场对对应于各第三方通航机场的机场对航班量之和分配权重具体为通过以下公式分配:The weight assigned to the sum of the airport-to-airport volume corresponding to each third-party navigable airport is specifically assigned by the following formula:

Figure BDA0003510793360000031
Figure BDA0003510793360000031

所述各机场对关于机场对与所有第三方通航机场的航班量的同质化系数的加权平均值具体为通过以下公式计算:The weighted average of the homogenization coefficients of the airport pairs and all third-party navigable airports for the airport pairs is specifically calculated by the following formula:

Figure BDA0003510793360000032
Figure BDA0003510793360000032

进一步地,所述熵权法具体如下:Further, the entropy weight method is specifically as follows:

对各同质化度量指标值进行归一化处理;Normalize the values of each homogenization metric;

计算所述各同质化度量指标值的比重;calculating the proportion of each homogenization metric value;

计算所述各同质化度量指标值的信息熵;calculating the information entropy of each homogenization metric value;

计算所述各同质化度量指标值的权重。Calculate the weight of each homogenization metric value.

进一步地,所述同质化度量指标值的信息熵定义如下:Further, the information entropy of the homogenization metric value is defined as follows:

信息熵=∑每种可能事件的概率*每种可能事件包含的信息量。Information entropy = ∑ the probability of each possible event * the amount of information contained in each possible event.

进一步地,所述每种可能事件包含的信息量的计算采用不确定性函数f:Further, the calculation of the amount of information contained in each possible event adopts the uncertainty function f:

f=log(1/P)=-logPf=log(1/P)=-logP

其中,P为每种可能事件的概率。where P is the probability of each possible event.

进一步地,所述Delphi赋权法具体如下:Further, the Delphi empowerment method is specifically as follows:

Figure BDA0003510793360000033
Figure BDA0003510793360000033

现有技术通常从单一维度进行机场群同质化度量,本发明提出的基于多维指标的机场群同质化度量方法,搭建机场群同质化多维度量指标体系,包含机场运行的基础设施、生产指标以及航线网络的各项指标,建立基于同质化度量指标赋权的综合性同质化度量体系模型,综合衡量机场群同质化发展整体水平,可以精准定位同质化倾向较为严重的机场对。The prior art usually measures the homogeneity of airport groups from a single dimension. The method for measuring the homogeneity of airport groups based on multi-dimensional indicators proposed by the present invention builds a multi-dimensional quantitative indicator system for the homogeneity of airport groups, including the infrastructure, production and operation of airports. Indicators and various indicators of the airline network, establish a comprehensive homogenization measurement system model based on the weighting of homogenization measurement indicators, comprehensively measure the overall level of the homogenization development of the airport group, and accurately locate the airports with a serious homogenization tendency. right.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对技术方案描述时所需要使用的附图作简单地介绍,显而易见地,本发明的示意性实施例及其说明仅用于解释本发明,并不构成对本发明的不当限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据提供的附图获得其他的附图。在附图中:In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the accompanying drawings required for describing the technical solutions will be briefly introduced below. Obviously, the exemplary embodiments of the present invention and their descriptions are only It is used to explain the present invention and does not constitute an improper limitation of the present invention. For those of ordinary skill in the art, other drawings can also be obtained according to the provided drawings without creative efforts. In the attached image:

图1是本发明实施例1方法的流程示意图;Fig. 1 is the schematic flow chart of the method of embodiment 1 of the present invention;

图2是本发明实施例1方法中机场群同质化多维度量指标体系结构示意图;2 is a schematic structural diagram of a multi-dimensional quantitative index system for homogenization of airport clusters in the method according to Embodiment 1 of the present invention;

图3是本发明实施例1方法中两两机场对与第三方通航机场航班量的同质化水平的计算过程示意图。FIG. 3 is a schematic diagram of the calculation process of the homogenization level of the flight volume between two airports and third-party navigable airports in the method of Embodiment 1 of 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.

实施例1Example 1

参照图1,本实施例提供一种基于多维指标的机场群同质化度量方法,该方法包括以下步骤:Referring to FIG. 1 , the present embodiment provides a method for measuring the homogeneity of an airport group based on a multi-dimensional index, and the method includes the following steps:

S1:构建机场群同质化多维度量指标体系;S1: Build a homogeneous multi-dimensional quantitative index system for airport groups;

具体地,机场同质化多维度量指标体系围绕机场群同质化度量的研究目标,分别从机场生产建设层面以及航线网络层面制定相关指标,本实施例中有关机场生产建设层面的指标为机场跑道数量、停机位数量、航站楼数量、起降架次、旅客吞吐量共5项;有关航线网络层面的相关指标为机场群两两机场之间与第三方通航机场的航班量共1项,以上指标共同组成了机场群同质化度量的多维指标。参照图1,图1所示为机场群同质化多维度量指标体系结构示意图;Specifically, the airport homogeneity multi-dimensional quantitative index system focuses on the research goal of the homogeneity measurement of airport groups, and formulates relevant indicators from the airport production and construction level and the airline network level. In this embodiment, the relevant indicators at the airport production and construction level are airport runways The number of parking spaces, the number of terminals, the number of take-offs and landings, and the passenger throughput are 5 items; the relevant indicators at the level of the airline network are the number of flights between two airports in the airport group and a third-party general airport. The indicators together constitute a multi-dimensional indicator of the homogeneity measure of the airport group. Referring to Fig. 1, Fig. 1 shows a schematic diagram of the system structure of the homogenized multi-dimensional quantitative index of the airport group;

其中,机场群内机场对关于某项机场生产建设层面的同质化指标的同质化系数的计算方法如下,机场群同质化度量以相似性度量为基础,结合度量指标,对比不同对象之间基于一维或多维属性的同质程度,通常用同质化系数的大小表征不同对象之间的同质化水平高低。机场群同质化系数大小可以用于度量机场群内部机场在功能定位、航线网络布局等方面的异同,从而评估机场群功能定位的合理性、科学性,机场群内机场i和机场j之间关于某项指标M的同质化系数用H表示,即:Among them, the calculation method of the homogenization coefficient of the homogenization index of a certain airport production and construction level for the airports in the airport group is as follows. The homogeneity measurement of the airport group is based on the similarity measurement. The degree of homogeneity between objects is based on one-dimensional or multi-dimensional attributes, and the size of the homogeneity coefficient is usually used to characterize the level of homogeneity between different objects. The size of the homogeneity coefficient of the airport group can be used to measure the similarities and differences of the airports within the airport group in terms of functional positioning and route network layout, so as to evaluate the rationality and scientificity of the functional positioning of the airport group. The difference between airport i and airport j in the airport group The homogenization coefficient of an index M is represented by H, namely:

Figure BDA0003510793360000051
Figure BDA0003510793360000051

式中,

Figure BDA0003510793360000052
为机场i的第k个指标,
Figure BDA0003510793360000053
为机场j的第k个指标。H的取值介于[0,1]之间,
Figure BDA0003510793360000054
Figure BDA0003510793360000055
的差值越大,则同质化系数H的取值越接近0,表明两者之间的同质化程度越低;反之,若
Figure BDA0003510793360000056
Figure BDA0003510793360000057
的差值越小,则同质化系数H的取值越接近1,表明两机场间的同质化程度越高;若
Figure BDA0003510793360000058
Figure BDA0003510793360000059
的取值均为0时,则同质化系数H的取值不存在;若
Figure BDA00035107933600000510
Figure BDA00035107933600000511
的取值相反时,则同质化系数H的度量无意义,因此在实际应用中,应避免度量存在负值的指标之间的同质化程度;In the formula,
Figure BDA0003510793360000052
is the k-th index of airport i,
Figure BDA0003510793360000053
is the kth index of airport j. The value of H is between [0,1],
Figure BDA0003510793360000054
and
Figure BDA0003510793360000055
The larger the difference is, the closer the value of the homogenization coefficient H is to 0, indicating that the degree of homogeneity between the two is lower; on the contrary, if
Figure BDA0003510793360000056
and
Figure BDA0003510793360000057
The smaller the difference is, the closer the value of the homogenization coefficient H is to 1, indicating that the degree of homogeneity between the two airports is higher; if
Figure BDA0003510793360000058
and
Figure BDA0003510793360000059
When the value of is 0, the value of the homogenization coefficient H does not exist; if
Figure BDA00035107933600000510
and
Figure BDA00035107933600000511
When the value of is opposite, the measurement of the homogeneity coefficient H is meaningless, so in practical applications, it should be avoided to measure the degree of homogeneity between indicators with negative values;

对于机场群的同质化度量,机场群的机场生产建设和航线网络等相关指标,均不存在负值,在度量不同对象之间的同质化水平时,可保证同质化系数均落于[0,1]区间内。从相似性度量的角度出发,规定同质化系数H≥0.5时,同质化程度高;同质化系数H<0.5时,同质化程度低;For the homogeneity measurement of the airport group, there is no negative value in the relevant indicators such as airport production and construction and airline network of the airport group. When measuring the homogeneity level between different objects, the homogeneity coefficient can be guaranteed to fall within in the range [0,1]. From the perspective of similarity measurement, it is stipulated that when the homogenization coefficient H≥0.5, the degree of homogeneity is high; when the homogenization coefficient H<0.5, the degree of homogeneity is low;

其中,航线网络层面的同质化指标两两机场与第三方通航机场航班量的同质化水平的计算如下,参照图2,图2所示为计算过程示意图:Among them, the homogeneity index at the airline network level is calculated as follows:

步骤一:获取机场群内部机场Ai,Ai∈A,i=1,2,...,n与外部所有通航机场Bs,Bs∈B,s=1,2,...,n之间的航班量qis,如表1所示:Step 1: Obtain the internal airports A i , A i ∈A,i=1,2,...,n and all external navigable airports B s , B s ∈ B,s=1,2,..., The number of flights between n is q is , as shown in Table 1:

表1机场A与通航机场B之间的航班量Table 1 The number of flights between airport A and general airport B

Figure BDA00035107933600000512
Figure BDA00035107933600000512

步骤二:在步骤一所获取航班量的基础上,参照公式(1)计算机场群内机场Ai,At两两之间关于某通航机场航班量qis,qts的同质化系数,如下所示:Step 2: On the basis of the flight volume obtained in Step 1, refer to formula (1) to calculate the homogenization coefficient of the flight volume q is , q ts between the airports A i and A t in the airport group with respect to the flight volume of a general airport, As follows:

Figure BDA0003510793360000061
Figure BDA0003510793360000061

步骤二产生的结果如表2所示:The results of the second step are shown in Table 2:

表2 Ai,At与通航机场B之间的航班量的同质化系数Table 2 Homogenization coefficient of flight volume between A i , A t and navigable airport B

Figure BDA0003510793360000062
Figure BDA0003510793360000062

步骤三:按列求Ai,At关于所有通航机场的航班量同质化系数的加权平均值,作为Ai,At在通航机场航班量上的同质化水平。根据机场群内部机场与通航机场的航班量大小,为Ai,At对应于每一个通航机场的两航班量的和赋予权重ws,权重如下所示设置:Step 3: Calculate the weighted average of A i , A t on the flight volume homogenization coefficient of all navigable airports by column, as the homogeneity level of A i , A t in the flight volume of navigable airports. According to the flight volume of the internal airports and the navigable airports in the airport group, A i and A t correspond to the sum of the two flights of each navigable airport and give weights ws , and the weights are set as follows:

Figure BDA0003510793360000063
Figure BDA0003510793360000063

Ai,At两机场关于所有通航机场B的同质化系数的加权平均值如公式(4)所示,所求值即为Ai,At两机场在通航机场航班量上的同质化系数HitThe weighted average of the homogeneity coefficients of the two airports A i and A t about all the navigable airports B is shown in formula (4 ) . The transformation coefficient H it .

Figure BDA0003510793360000064
Figure BDA0003510793360000064

S2:利用熵权法为所述同质化度量指标分配权重,基于所述权重分别计算生产建设综合同质化水平及航线网络综合同质化水平;S2: Use the entropy weight method to assign weights to the homogenization metrics, and calculate the comprehensive homogeneity level of production and construction and the comprehensive homogeneity level of airline networks based on the weights;

对多维机场群同质化指标进行综合。由于同质化多维度量指标体系考虑到的同质化指标种类和数量繁多,基于各项指标进行机场之间的同质化求解时,图2中所示的第一层的每个基础指标均会产生一个基础化同质化矩阵,想要最终得到机场群综合同质化水平矩阵,需要为其进行两层赋权。Synthesize the multi-dimensional airport cluster homogenization index. Since the homogenization multi-dimensional quantitative index system considers many types and quantities of homogenization indexes, when solving the homogenization between airports based on each index, each basic index of the first layer shown in Figure 2 is A basic homogenization matrix will be generated. In order to finally obtain the comprehensive homogenization level matrix of the airport group, two layers of weighting need to be performed.

结合指标特点,针对第一层机场生产建设层面的同质化指标,引入熵权法,对机场生产建设的各项指标进行客观权重赋予,熵是热力学的一个物理概念,是体系混乱度或无序度的度量,熵越大表示系统越乱,熵越小表示系统越有序。信息熵借鉴了热力学中熵的概念,用于描述平均而言事件信息量的大小,所以在数学上,信息熵是事件所包含的信息量的期望,根据期望的定义,可以设想信息熵的公式如下所示:Combined with the characteristics of the indicators, for the homogenization indicators at the first level of airport production and construction, the entropy weight method is introduced to give objective weights to various indicators of airport production and construction. Entropy is a physical concept of thermodynamics. A measure of order, the larger the entropy, the more chaotic the system, and the smaller the entropy, the more orderly the system. Information entropy draws on the concept of entropy in thermodynamics and is used to describe the average amount of information in an event. Therefore, mathematically, information entropy is the expectation of the amount of information contained in an event. According to the definition of expectation, the formula of information entropy can be imagined. As follows:

信息熵=∑每种可能事件的概率*每种可能事件包含的信息量(5)Information entropy = ∑ probability of each possible event * amount of information contained in each possible event (5)

每种可能事件包含的信息量的计算采用不确定性函数fThe calculation of the amount of information contained in each possible event uses the uncertainty function f

f=log(1/P)=-logP (6)f=log(1/P)=-logP(6)

采用不确定性函数,一方面可以保证信息量是概率P的单调递减函数,另一方面可以保证两个独立事件所产生的不确定性应等于各自不确定性之和,即具备可加性,将不确定性函数带入式(5)可得:Using the uncertainty function, on the one hand, it can ensure that the amount of information is a monotonically decreasing function of probability P, and on the other hand, it can ensure that the uncertainty generated by two independent events should be equal to the sum of their respective uncertainties, that is, it has additivity. Putting the uncertainty function into equation (5), we can get:

Figure BDA0003510793360000071
Figure BDA0003510793360000071

其中,W是熵,U是所有可能事件的集合,有n种取值:U1,...,Ui,...,Un,对应的概率为P1,...,Pi,...,Pn,对数的底一般为2。Among them, W is entropy, U is the set of all possible events, there are n values: U 1 ,...,U i ,...,U n , the corresponding probability is P 1 ,...,P i ,...,P n , the base of the logarithm is generally 2.

熵权法是一种客观赋权法,仅通过样本数据确定评价指标权重的方法,可以更加客观地为不同层级指标进行赋权,能深刻反映出指标的区分能力。使用熵权法为指标赋权的相关步骤具体如下:The entropy weight method is an objective weighting method. The method of determining the weight of the evaluation index only through sample data can more objectively assign weights to different levels of indicators, and can profoundly reflect the distinguishing ability of the indicators. The relevant steps of using the entropy weight method to weight the indicators are as follows:

首先,对数据进行归一化处理,将不同量纲的指标同量纲化,本文使用0-1归一化,假如第i个机场的第j个指标值是xij,归一化后为x′ij,归一化计算公式如下:First, the data is normalized, and the indicators of different dimensions are the same dimension. This paper uses 0-1 normalization. If the j-th index value of the i-th airport is x ij , after normalization, it is x′ ij , the normalized calculation formula is as follows:

Figure BDA0003510793360000072
Figure BDA0003510793360000072

其次,计算指标的熵和权,计算第i个机场的第j个指标的比重:

Figure BDA0003510793360000073
计算第j个指标的信息熵
Figure BDA0003510793360000074
其中,K为常数,
Figure BDA0003510793360000075
Secondly, calculate the entropy and weight of the index, and calculate the proportion of the jth index of the ith airport:
Figure BDA0003510793360000073
Calculate the information entropy of the jth indicator
Figure BDA0003510793360000074
where K is a constant,
Figure BDA0003510793360000075

最后,可以得出计算第j个指标的权重

Figure BDA0003510793360000076
Finally, the weight of the j-th indicator can be calculated
Figure BDA0003510793360000076

本实施例采用洛杉矶机场群2020年全年的运行数据,计算得到的各项机场生产建设层面的同质化指标权重结果如表3所示:This example uses the operation data of the Los Angeles airport group in 2020, and the calculated weight results of the homogenization indicators at the production and construction level of each airport are shown in Table 3:

表3生产建设层同质化指标权重Table 3 Homogenization index weight of production and construction layer

Figure BDA0003510793360000081
Figure BDA0003510793360000081

对于洛杉矶机场群,停机位数量包含的信息量最大,因此其权重也最大,为0.23;跑道数量和航站楼数量包含的信息量相对较小,均不超过0.20;起降架次和旅客吞吐量包含信息量相当。For the Los Angeles airport group, the number of parking spaces contains the largest amount of information, so its weight is also the largest, which is 0.23; the number of runways and the number of terminals contain relatively small amounts of information, neither exceeding 0.20; the number of take-offs and landings and passenger throughput Contains a fair amount of information.

计算洛杉矶机场群生产建设层面综合同质化水平结果,基于所确定的生产建设指标权重,生产建设层面综合同质化计算过程如下:Calculate the results of the comprehensive homogeneity level at the production and construction level of the Los Angeles airport cluster. Based on the determined weights of the production and construction indicators, the calculation process of the comprehensive homogeneity at the production and construction level is as follows:

Figure BDA0003510793360000082
Figure BDA0003510793360000082

其中,

Figure BDA0003510793360000083
分别代表赋予起降架次、旅客吞吐量、跑道数量、停机位数量和航站楼数量的权重,
Figure BDA0003510793360000084
分别代表机场群机场对之间关于起降架次、旅客吞吐量、跑道数量、停机位数量和航站楼数量的同质化系数,
Figure BDA0003510793360000085
代表机场群机场对之间关于生产建设综合同质化系数,本实施例的生产建设综合同质化水平计算结果如表4所示:in,
Figure BDA0003510793360000083
respectively represent the weights given to the number of take-offs and landings, passenger throughput, number of runways, number of parking spaces and number of terminals,
Figure BDA0003510793360000084
respectively represent the homogenization coefficients between the airport pairs in the airport group regarding the number of take-offs and landings, passenger throughput, number of runways, number of parking spaces and number of terminals,
Figure BDA0003510793360000085
On behalf of the comprehensive homogeneity coefficient of production and construction between the pairs of airports in the airport group, the calculation results of the comprehensive homogeneity level of production and construction in this embodiment are shown in Table 4:

表4洛杉矶机场群生产建设综合同质化水平Table 4 The comprehensive homogenization level of production and construction of the Los Angeles airport cluster

Figure BDA0003510793360000086
Figure BDA0003510793360000086

Figure BDA0003510793360000091
Figure BDA0003510793360000091

从表4可以看出,洛杉矶机场群中,安大略-约翰韦恩机场生产建设综合同质化水平最高,同质化系数高达0.83;同质化系数介于0.50-0.80的机场对有5对,从大到小依次为伯班克-安大略、伯班克-约翰韦恩、长滩-约翰韦恩、长滩-安大略以及伯班克-长滩。上述机场对在机场生产建设方面的综合同质化水平较高,尤其是安大略-约翰韦恩机场处于较高的水平;其余同质化系数低于0.50的机场对,同质化水平较低。机场群内的主要机场和次要机场之间,均存在较高的同质化倾向。It can be seen from Table 4 that among the Los Angeles airports, Ontario-John Wayne Airport has the highest level of comprehensive homogeneity in production and construction, with a homogenization coefficient of up to 0.83; there are 5 pairs of airports with a homogenization coefficient of 0.50-0.80. From largest to smallest, Burbank-Ontario, Burbank-John Wayne, Long Beach-John Wayne, Long Beach-Ontario, and Burbank-Long Beach. The above-mentioned airport pairs have a high level of comprehensive homogeneity in airport production and construction, especially Ontario-John Wayne Airport is at a high level; the other airport pairs with a homogenization coefficient below 0.50 have a low level of homogeneity. There is a high homogenization tendency between the main airports and the secondary airports in the airport group.

根据洛杉矶机场群机场航线网络数据,计算航线网络的同质化水平,计算结果如表5所示:According to the airport route network data of the Los Angeles airport group, the homogeneity level of the route network is calculated, and the calculation results are shown in Table 5:

表5洛杉矶机场群航线网络同质化水平Table 5 The homogeneity level of the route network of the Los Angeles airport group

Figure BDA0003510793360000092
Figure BDA0003510793360000092

从表5可以看出,洛杉矶机场群中,安大略-约翰韦恩以及伯班克-约翰韦恩机场航线网络同质化水平最高,同质化系数为0.32,说明在通航机场数量、方向和航班量等航线网络的各个方面,安大略-约翰韦恩机场以及伯班克-约翰韦恩机场的同质化水平在洛杉矶机场群内处于较高水平;其余机场对的同质化系数均低于0.3,同质化水平较低。It can be seen from Table 5 that among the Los Angeles airports, the Ontario-John Wayne and Burbank-John Wayne airports have the highest level of homogeneity in the route network, with a homogenization coefficient of 0.32, indicating that the number of navigable airports, directions and flights The homogeneity level of Ontario-John Wayne Airport and Burbank-John Wayne Airport is at a relatively high level in the Los Angeles airport cluster; the homogeneity coefficients of other airport pairs are all lower than 0.3 , the homogeneity level is low.

S3:利用Delphi赋权法为所述生产建设综合同质化水平及航线网络综合同质化水平分配权重,得到机场群综合同质化水平;S3: Use the Delphi weighting method to assign weights to the comprehensive homogenization level of the production and construction and the comprehensive homogenization level of the airline network, and obtain the comprehensive homogenization level of the airport group;

针对第二层生产建设综合同质化水平和航线网络综合同质化水平(需要说明的是,由于本实施例中航线网络层面的同质化度量指标只有1项,因此机场群航线网络同质化水平即为航线网络综合同质化水平),引入Delphi法进行权重设置,从而获得机场群的综合同质化水平。Delphi赋权法计算如下式所示:For the second-layer production and construction comprehensive homogeneity level and the airline network comprehensive homogeneity level (it should be noted that since there is only one homogeneity measurement index at the airline network level in this embodiment, the airport group airline network is homogeneous The integration level is the comprehensive homogeneity level of the airline network), and the Delphi method is introduced to set the weights, so as to obtain the comprehensive homogeneity level of the airport group. The Delphi weighting method is calculated as follows:

Figure BDA0003510793360000101
Figure BDA0003510793360000101

利用为Delphi法为生产建设综合同质化指标以及航线网络综合同质化指标赋予权重,在此分别赋予机场群生产建设综合同质化0.4的权重,航线网络综合同质化0.6的权重,意在将航线网络作为影响机场群同质化水平的更重要的因素。最终形成洛杉矶机场群综合同质化水平结果(只显示上三角部分)如表6所示:The Delphi method is used to give weights to the comprehensive homogenization index of production and construction and the comprehensive homogenization index of airline network. Here, the weight of the comprehensive homogeneity of production and construction of the airport group is 0.4, and the weight of the comprehensive homogeneity of the airline network is 0.6. The airline network is a more important factor affecting the homogeneity level of the airport group. The final result of the comprehensive homogeneity level of the Los Angeles airport cluster (only the upper triangle part is shown) is shown in Table 6:

表6洛杉矶机场群综合同质化水平Table 6 The comprehensive homogeneity level of the Los Angeles airport cluster

Figure BDA0003510793360000102
Figure BDA0003510793360000102

在生产建设指标和航线网络指标的双重作用下,洛杉矶机场群中,安大略-约翰韦恩机场的综合同质化水平依然最高,同质化系数为0.53,而其他机场之间的综合同质化系数均低于0.50,说明其他机场之间的综合同质化水平均处于较低水准。结合第一层指标的同质化计算结果,除去安大略-约翰韦恩机场,在生产建设指标方面,虽然各机场之间的同质化水平普遍处于中上水平,但航线网络方面的同质化水平较低,故综合同质化水平普遍不高,这反映了洛杉矶机场群在航线网络方面的差异化布局,在保持整体生产建设指标协同发展的同时,机场功能实现多样化。特别指出,安大略和约翰韦恩机场作为洛杉矶的两大重要机场,在机场生产建设和航线网络方面均具有较高的同质化倾向,为避免引起恶性竞争,政府及相关部门应当对其进行多方调控,在保证生产建设指标不下降的前提下,进一步优化航线网络差异化布局,使洛杉矶机场群向世界级机场群健康迈进。Under the dual effects of production and construction indicators and route network indicators, among the Los Angeles airports, Ontario-John Wayne Airport still has the highest level of comprehensive homogeneity, with a homogenization coefficient of 0.53, while the comprehensive homogeneity among other airports is still the highest. The coefficients are all lower than 0.50, indicating that the comprehensive homogeneity level among other airports is at a low level. Combined with the homogenization calculation results of the first-level indicators, except for Ontario-John Wayne Airport, in terms of production and construction indicators, although the homogeneity level between airports is generally at the upper-middle level, the homogeneity of the airline network The level is relatively low, so the level of comprehensive homogeneity is generally not high, which reflects the differentiated layout of the Los Angeles airport group in terms of the route network. While maintaining the coordinated development of the overall production and construction indicators, the airport functions have been diversified. In particular, it is pointed out that Ontario and John Wayne Airport, as the two major airports in Los Angeles, have a high tendency to homogenize in airport production and construction and route network. In order to avoid vicious competition, the government and relevant departments should carry out various Control, on the premise of ensuring that the production and construction indicators do not decline, further optimize the differentiated layout of the airline network, so that the Los Angeles airport group will move forward healthily to a world-class airport group.

表7所示为采用本实施例所述的基于多维指标的机场群同质化度量方法得到的综合同质化系数矩阵以及采用传统机场航线网络层面同质化度量技术得到的航线网络同质化矩阵:Table 7 shows the comprehensive homogeneity coefficient matrix obtained by using the multi-dimensional index-based airport group homogeneity measurement method described in this embodiment and the airline network homogeneity obtained by using the traditional airport airline network level homogeneity measurement technology matrix:

表7综合同质化系数矩阵以及航线网络同质化矩阵Table 7 Comprehensive homogenization coefficient matrix and airline network homogenization matrix

Figure BDA0003510793360000111
Figure BDA0003510793360000111

由表7可知,洛杉矶机场群中,安大略-约翰韦恩以及伯班克-约翰韦恩机场航线网络同质化水平最高,同质化系数为0.32,说明在航线网络方面,安大略-约翰韦恩机场以及伯班克-约翰韦恩机场的同质化水平在洛杉矶机场群内处于较高水平;其余机场对的同质化系数均低于0.3,同质化水平较低。仅以航线网络分布为基准计算机场群同质化水平,洛杉矶机场群中所有机场对同质化水平在0.5以下,采用本发明提出的多维指标机场群同质化指标体系进行计算,安大略-约翰韦恩机场综合同质化水平为0.53,处于较高水平,参考洛杉矶机场群中两场发展定位,安大略和约翰韦恩机场作为洛杉矶的两大重要机场,在机场生产建设和航线网络方面均具有较高的同质化倾向,本发明提出的多维机场群同质化指标体系分析结果更为全面。It can be seen from Table 7 that among the Los Angeles airports, the Ontario-John Wayne and Burbank-John Wayne airports have the highest level of homogeneity in the route network, with a homogenization coefficient of 0.32, indicating that in terms of the route network, Ontario-John Wayne has the highest level of homogeneity. The homogeneity level of the airport and Burbank-John Wayne Airport is at a high level in the Los Angeles airport group; the homogeneity coefficients of other airport pairs are all lower than 0.3, and the homogeneity level is low. The homogeneity level of the airport group is calculated only based on the distribution of the airline network. The homogeneity level of all airports in the Los Angeles airport group is below 0.5. The multi-dimensional index airport group homogenization index system proposed by the present invention is used for calculation. Ontario-John The comprehensive homogeneity level of Wayne Airport is 0.53, which is at a relatively high level. Referring to the development positioning of the two airports in the Los Angeles airport group, Ontario and John Wayne Airport, as the two major airports in Los Angeles, have outstanding achievements in airport production and construction and route network. The higher the homogenization tendency, the more comprehensive the analysis results of the multi-dimensional airport group homogenization index system proposed by the present invention.

另外,本发明实施例还提供一种计算机可读存储介质,其中,该计算机可读存储介质可存储有程序,该程序执行时包括上述方法实施例中记载的任何基于多维指标的机场群同质化度量方法的部分或全部步骤。In addition, an embodiment of the present invention further provides a computer-readable storage medium, wherein the computer-readable storage medium can store a program, and when the program is executed, the program includes any multi-dimensional index-based airport group homogeneity described in the above method embodiments. Some or all of the steps of the metric method.

另外,在本发明各个实施例中的各功能单元可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中。上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically alone, or two or more units may be integrated into one unit. The above-mentioned integrated units may be implemented in the form of hardware, or may be implemented in the form of software functional units.

所述集成的单元如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储器中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的全部或部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储器中,包括若干指令用以使得一台计算机设备(可为个人计算机、服务器或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储器包括:U盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、移动硬盘、磁碟或者光盘等各种可以存储程序代码的介质。The integrated unit, if implemented as a software functional unit and sold or used as a stand-alone product, may be stored in a computer-readable memory. Based on such understanding, the technical solution of the present invention is essentially or the part that contributes to the prior art or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a memory, Several instructions are included to cause a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned memory includes: U disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), mobile hard disk, magnetic disk or optical disk and other media that can store program codes.

本领域普通技术人员可以理解上述实施例的各种方法中的全部或部分步骤是可以通过程序来指令相关的硬件来完成,该程序可以存储于一计算机可读存储器中,存储器可以包括:闪存盘、只读存储器、随机存取器、磁盘或光盘等。Those of ordinary skill in the art can understand that all or part of the steps in the various methods of the above embodiments can be completed by instructing relevant hardware through a program, and the program can be stored in a computer-readable memory, and the memory can include: a flash disk , read-only memory, random access memory, magnetic or optical disk, etc.

以上所述的具体实施方式,对本申请的目的、技术方案和有益效果进行了进一步详细说明,所应理解的是,以上所述仅为本申请的具体实施方式而已,并不用于限定本申请的保护范围,凡在本申请的技术方案的基础之上,所做的任何修改、等同替换、改进等,均应包括在本申请的保护范围之内。The specific embodiments described above further describe the purpose, technical solutions and beneficial effects of the present application in detail. It should be understood that the above descriptions are only specific embodiments of the present application, and are not intended to limit the The protection scope, any modifications, equivalent replacements, improvements, etc. made on the basis of the technical solutions of the present application shall be included within the protection scope of the present application.

Claims (10)

1. A multidimensional index-based airport group homogeneity measurement method is characterized by comprising the following steps:
respectively designing corresponding homogenization measurement indexes based on the production construction level and the navigation network level of each airport in the airport group to be measured, and calculating the homogenization coefficient of each airport in the airport group relative to each homogenization measurement index, wherein the homogenization coefficient is used for quantifying the homogenization level;
distributing weights to the homogeneity measurement indexes by using an entropy weight method, and respectively calculating the comprehensive homogeneity level of production construction and the comprehensive homogeneity level of a navigation network based on the weights;
and distributing weights for the comprehensive homogenization level of the production construction and the comprehensive homogenization level of the air line network by using a Delphi weighting method to obtain the comprehensive homogenization level of the airport group.
2. The airport group homogeneity metric method based on multi-dimensional indexes as claimed in claim 1, wherein the production and construction level homogeneity metric indexes comprise airport runway number, parking space number, terminal building number, taking-off and landing number, passenger throughput; the navigation network level homogeneity measurement index comprises flight quantity between an airport pair and all third-party navigation airports, wherein the airport pair is a combination of any two airports in an airport group.
3. The airport group homogeneity measurement method based on multi-dimensional indexes as claimed in claim 1, wherein homogeneity coefficients of each airport in the airport group to be measured on the production and construction level homogeneity measurement indexes are calculated as follows:
Figure FDA0003510793350000011
wherein,
Figure FDA0003510793350000012
for the k-th homogeneity measure index value for airport i,
Figure FDA0003510793350000013
the k-th homogeneity measure index value for airport j.
4. The method for measuring the homogeneity of the airport group based on the multidimensional index as claimed in claim 2, wherein the homogeneity coefficient of each airport pair in the airport group to be measured with respect to the flight quality between the airport pair and all third-party navigation airports is calculated as follows:
acquiring flight quantity between each airport and each third-party navigation airport in the airport group to be measured;
calculating homogeneity coefficients of each airport pair with respect to the flight volume between the airport pair and each third-party navigable airport based on the flight volume;
and assigning a weight to the sum of the airport pairs corresponding to the airport pairs of the third-party navigation airports, and calculating a weighted average value of homogeneity coefficients of the airport pairs relative to the flight quantities of the airport pairs and all the third-party navigation airports, wherein the weighted average value is used as the homogeneity coefficient of the airport pairs relative to the flight quantities between the airport pairs and all the third-party navigation airports.
5. The method of claim 4, further comprising:
the homogeneity coefficient of each airport pair about the flight quantity between the airport pair and each third-party navigation airport is specifically calculated by the following formula:
Figure FDA0003510793350000021
wherein q represents the flight quantity, i, t represents the number of the airport in the middle, and s represents the number of the third party navigation airport;
the weight is specifically distributed to the sum of the flight quantity of the airport corresponding to each third-party navigation airport through the following formula:
Figure FDA0003510793350000022
the weighted average of the homogeneity coefficients of the airport pairs with respect to the flight mass of all third-party navigable airports is specifically calculated by the following formula:
Figure FDA0003510793350000023
6. the method of claim 1, wherein the entropy weight method is specifically as follows:
normalizing each homogeneity measurement index value;
calculating the proportion of each homogeneity measure index value;
calculating the information entropy of each homogenization metric index value;
and calculating the weight of each homogeneity measure index value.
7. The method of airport group homogeneity metric based on multidimensional measurements as claimed in claim 6, wherein the information entropy of the homogeneity metric index value is defined as follows:
information entropy ═ probability of each possible event ∑ information quantity contained in each possible event.
8. The method according to claim 7, wherein the calculation of the amount of information contained in each possible event uses an uncertainty function f:
f=log(1/P)=-log P
where P is the probability of each possible event.
9. The method of claim 1, wherein the Delphi weighting method is as follows:
the comprehensive homogenization level of the airport group is 1 multiplied by the weight of the comprehensive homogenization level of production construction and 2 multiplied by the weight of the comprehensive homogenization level of the navigation network.
10. A computer-readable storage medium having stored thereon computer-executable instructions that, when executed, implement the method for multi-dimensional index-based airport group homogeneity metric according to any one of claims 1 to 9.
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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
RU2584368C1 (en) * 2015-02-13 2016-05-20 Открытое акционерное общество "Лётно-исследовательский институт имени М.М. Громова" Method of determining control values of parameters of spatial-angular orientation of aircraft on routes and pre-aerodrome zones in flight tests of pilot-navigation equipment and system therefor
CN110110586A (en) * 2019-03-18 2019-08-09 北京理工雷科电子信息技术有限公司 The method and device of remote sensing airport Airplane detection based on deep learning

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
RU2584368C1 (en) * 2015-02-13 2016-05-20 Открытое акционерное общество "Лётно-исследовательский институт имени М.М. Громова" Method of determining control values of parameters of spatial-angular orientation of aircraft on routes and pre-aerodrome zones in flight tests of pilot-navigation equipment and system therefor
CN110110586A (en) * 2019-03-18 2019-08-09 北京理工雷科电子信息技术有限公司 The method and device of remote sensing airport Airplane detection based on deep learning

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
CONGCONG GUO: "Evaluation of Homogenization in Metroplex Operations Based on Multi-Dimensional Indicators", 《AEROSPACE》, vol. 9, no. 8, 18 August 2022 (2022-08-18), pages 1 - 24 *
蔡蕤: "基于网络表示学习的机场群同质化分析研究", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》, vol. 2021, no. 01, 15 January 2021 (2021-01-15), pages 031 - 36 *

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