CN112990752A - Reconnaissance equipment efficiency evaluation method based on improved radar map method - Google Patents

Reconnaissance equipment efficiency evaluation method based on improved radar map method Download PDF

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CN112990752A
CN112990752A CN202110374573.0A CN202110374573A CN112990752A CN 112990752 A CN112990752 A CN 112990752A CN 202110374573 A CN202110374573 A CN 202110374573A CN 112990752 A CN112990752 A CN 112990752A
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彭维仕
王念胜
徐攀鹏
刘佳
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Engineering University of Chinese Peoples Armed Police Force
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Abstract

The invention discloses a reconnaissance equipment efficiency evaluation method based on an improved radar map method, which comprises the following steps of: s1, establishing an index system for the efficiency evaluation of the reconnaissance equipment, and normalizing the evaluation index; s2, calculating the weight of the efficiency evaluation index of the reconnaissance equipment according to the normalized index; s3, evaluating the effectiveness of the reconnaissance equipment based on the improved radar map method according to the normalization value and the weight of the effectiveness evaluation index of the reconnaissance equipment; and S4, constructing a comprehensive efficiency model according to the comprehensive evaluation requirement of the efficiency evaluation of the reconnaissance equipment, and evaluating the efficiency of the reconnaissance equipment through the model. The invention solves the problems that the weight calculation of other calibration methods is not accurate, the evaluation result is not unique due to inconsistent evaluation index sequence and the like, and provides scientific guidance for the application and the performance of reconnaissance equipment.

Description

Reconnaissance equipment efficiency evaluation method based on improved radar map method
Technical Field
The invention belongs to the field of system performance evaluation, and particularly relates to a reconnaissance equipment efficiency evaluation method based on an improved radar map method.
Background
The information resources are key factors for determining the success or failure of various tasks performed by an army, the reconnaissance equipment is a main means for acquiring the information resources, and how to evaluate the efficiency of the reconnaissance equipment becomes a hot problem for research in the military field.
Currently, the methods for evaluating the efficiency of research and reconnaissance equipment mainly include: grey theory method, fuzzy analytic hierarchy process, FAHP method, ADC method, grey cloud model method, Delphi method. However, none of the above methods can intuitively reflect the overall effectiveness of the reconnaissance equipment; in addition, although the traditional radar map method can solve the problem that the evaluation result is not unique due to inconsistent index sequencing by utilizing the sector area, the radar map formed by the sector area cannot intuitively distinguish the quality of the total efficiency of the system.
Disclosure of Invention
The invention aims to provide a reconnaissance equipment efficiency evaluation method based on an improved radar map method, and aims to solve the problem that in the prior art, evaluation results are not unique due to inconsistent index sequencing of radar maps.
The invention is realized in such a way that a scouting equipment efficiency evaluation method based on an improved radar map method comprises the following steps:
s1, establishing an index system for the efficiency evaluation of the reconnaissance equipment, and normalizing the evaluation index;
s2, calculating the weight of the efficiency evaluation index of the reconnaissance equipment according to the normalized index;
s3, evaluating the effectiveness of the reconnaissance equipment based on the improved radar map method according to the normalization value and the weight of the effectiveness evaluation index of the reconnaissance equipment;
and S4, constructing a comprehensive efficiency model according to the comprehensive evaluation requirement of the efficiency evaluation of the reconnaissance equipment, and evaluating the efficiency of the reconnaissance equipment through the model.
Preferably, step S1 includes the steps of:
s11, constructing a performance-based reconnaissance equipment efficiency evaluation index system;
and S12, normalizing the efficiency evaluation index of the reconnaissance equipment based on linear scale transformation.
Preferably, step S2 includes the steps of:
s21, constructing a judgment matrix based on an exponential scaling method;
s22, solving a maximum characteristic root of the judgment matrix;
and S23, performing consistency check on the judgment matrix.
Preferably, step S3 includes the steps of:
s31, drawing a radar map of the reconnaissance equipment;
and S32, extracting radar map features of the reconnaissance equipment.
The invention overcomes the defects of the prior art and provides a scout equipment efficiency evaluation method based on an improved radar map method, which comprises the steps of firstly, establishing a scout equipment efficiency evaluation index system according to the characteristics of the scout equipment and the efficiency exerted in the using process; further, normalizing the efficiency index of the reconnaissance equipment based on a linear scale transformation method; secondly, determining the weight of the efficiency evaluation index of the reconnaissance equipment by using an exponential scaling method so as to solve the problem of inaccurate weight calculation of other weight scaling methods; then, evaluating the efficiency of certain type of reconnaissance equipment based on an improved radar mapping method to solve the problem that evaluation results are not unique due to inconsistent evaluation index sequences; finally, the correctness and reasonableness of the proposed evaluation model are verified by examples.
Compared with the defects and shortcomings of the prior art, the invention has the following beneficial effects: the method establishes an index system for the efficiency evaluation of the reconnaissance equipment from five aspects of target information acquisition capacity, information processing capacity, information transmission capacity, environment viability and comprehensive guarantee capacity, further normalizes the indexes by using a linear scale transformation method, provides index data for the subsequent calculation of the weight of the efficiency evaluation index of the reconnaissance equipment, and solves the problem of inaccurate weight calculation of other scaling methods; in addition, the performance evaluation model of the reconnaissance equipment is constructed by extracting the average area, the average perimeter and the average eccentricity characteristics of the radar map, so that the problem that the evaluation result is not unique due to inconsistent evaluation index sequences is solved; finally, the correctness and the rationality of the provided evaluation model are verified through examples, and the method can provide scientific guidance for the application and the performance of the military reconnaissance equipment.
Drawings
FIG. 1 is a scout equipment performance evaluation index system;
FIG. 2 is a diagram of a radar for performance evaluation of a piece of surveillance equipment;
FIG. 3 is a radar chart of three types of scouting equipment (hose specula);
FIG. 4 is a radar chart of JZ-6GA type hose endoscope index full arrangement;
FIG. 5 is a radar chart of JZ-6KA type hose endoscope index full arrangement;
FIG. 6 is a radar chart of JZ-6SA type hose endoscope index full alignment;
FIG. 7 is the average center of gravity of a radar chart of a JZ-6GA type hose speculum;
FIG. 8 is the average center of gravity of a radar chart of a JZ-6KA type hose speculum;
FIG. 9 is the average center of gravity of a JZ-6SA model hose speculum radar chart.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The invention discloses a reconnaissance equipment efficiency evaluation method based on an improved radar map method, which comprises the following steps of:
s1 index system for establishing efficiency evaluation of reconnaissance equipment
S11 construction of performance-based reconnaissance equipment efficiency evaluation index system
Based on the structural characteristics of the reconnaissance equipment and the technical and tactical performance indexes thereof, the efficiency of the reconnaissance equipment is analyzed from the product performance and the task direction of the reconnaissance equipment to obtain a reconnaissance equipment efficiency evaluation index system, as shown in fig. 1.
As shown in fig. 1, the system of the effectiveness evaluation index of the scout equipment mainly includes: target information acquisition capability MQE, information processing capability QLE, information transmission capability QCE, environment viability SUE, and integrated security capability QQE. The target information acquisition capability mainly comprises a visible light detection distance D and an infrared detection distance W; information processing capabilityThe system comprises a camera pixel Q and an image acquisition resolution U; the transmission capability of the information mainly comprises a transmission bandwidth L, a transmission rate eta, a bit error rate F and confidentiality B; the environment viability mainly comprises equipment weight M, volume V, control mode N and anti-interference capability e; the comprehensive guarantee capability mainly comprises the reliability u of equipment, the maintainability k, the battery power supply time h and the communication networking capability b. Further, the above-mentioned indices can be classified into two main categories: benefit type index vxgAnd cost type index vcgAs shown in table 1.
TABLE 1 scout equipment Performance evaluation index Classification
Figure BDA0003010665640000041
S12 normalization of efficiency evaluation index of reconnaissance equipment based on linear scale transformation
Suppose there are m reconnaissance equipment E1，E2，…，EmN evaluation indexes Y1，Y…，YnLet the original matrix of the index be:
Figure BDA0003010665640000042
for convenience, a linear scale transformation method is adopted for normalization, and the benefit indexes comprise:
Figure BDA0003010665640000043
similarly, the cost-type indexes are:
Figure BDA0003010665640000044
wherein the content of the first and second substances,
Figure BDA0003010665640000045
indicating the jth effect in the ith surveillance equipment to be assessedNormalized values of benefit-type indicators; i satisfies that i is 1,2, …, m represents m pieces of reconnaissance equipment to be evaluated; j satisfies j ═ 1,2, …, n, n denotes n individual indices. Thus obtaining a normalized matrix of indices:
Figure BDA0003010665640000051
s2, calculating the weight of the efficiency evaluation index of the reconnaissance equipment
According to the normalized scout equipment performance evaluation index matrix, the weight of the performance index is determined by using an exponential scaling method.
S21, constructing judgment matrix based on exponential scaling method
Selecting expert scholars and first-line fighters for researching reconnaissance equipment, and scoring parameter indexes influencing equipment efficiency by using a scale 1-9 analysis method to obtain a judgment matrix as follows:
Figure BDA0003010665640000052
wherein c ispqRepresents YpFor YqRelative importance of.
The embodiment of the invention adopts an exponential scaling method to calculate the weight of the index, and the formula (5) is changed into the formula according to the exponential scaling method:
Figure BDA0003010665640000053
wherein a is a constant.
S22, solving the maximum characteristic root of the judgment matrix
The method for solving the relative weight of each factor generally comprises a sum method, a root method and a power method, and the root method is adopted to calculate the weight.
(1) Summing the columns of the matrix in equation (6), i.e.
Figure BDA0003010665640000061
(2) To hqAnd (3) carrying out normalization:
Figure BDA0003010665640000062
let n evaluation indexes { Y of scout equipment1,Y2…Yq…,YnThe corresponding weights are:
G＝[g1 g2 …gq… gn] (9)
s23, performing consistency check
In order to ensure the uniqueness of the weights, the judgment matrix C needs to be matched*Carry out a consistency check, i.e.
Figure BDA0003010665640000063
Wherein λ ismaxThe maximum eigenvalue of the matrix D is calculated by the following formula:
Figure BDA0003010665640000064
wherein d iskkComprises the following steps:
Figure BDA0003010665640000065
when CR < 0.1, C is considered to be*Otherwise, the constant a is adjusted until a satisfactory consistency is obtained.
S3 evaluating efficiency of reconnaissance equipment based on improved radar map method
S31, drawing radar chart of reconnaissance equipment
And (4) obtaining the normalized value and the weight of the efficiency evaluation index of the reconnaissance equipment according to the formula (4) and the formula (9), and drawing a radar map of the reconnaissance equipment according to the following steps.
(1) Drawing a circle by taking O as the center of the circle. Dividing the circle into n parts by a number axis according to the number of the evaluation indexes, wherein the included angle of each part is alphaij＝2πgjThe size of the angle may reflect the weight of the index.
(2) The normalized value is compared
Figure BDA0003010665640000076
And the anticlockwise directions are sequentially calibrated on the various axes.
(3) And connecting each adjacent index by using a straight line to obtain an irregular polygon, namely a radar map for evaluating the efficiency of the reconnaissance equipment, as shown in fig. 2.
S32, extracting radar map features of reconnaissance equipment
The traditional radar maps are different in the arrangement sequence of indexes, so that the formed radar maps are different. Therefore, n evaluation indexes of the ith equipment to be evaluated in the m-type reconnaissance equipment are fully arranged, and the obtained full-arrangement matrix is as follows:
Figure BDA0003010665640000071
wherein, Num ═ n! Denotes n! Arrangement of TkIndicating index
Figure BDA0003010665640000072
Corresponding to the kth arrangement. Drawing a radar chart, placing the radar chart in a plane rectangular coordinate system, and extracting three characteristic parameters of the radar chart:
Figure BDA0003010665640000073
respectively representing the area, the perimeter and the barycentric coordinates of the kth arrangement mode radar chart of the n evaluation indexes of the ith reconnaissance equipment to be evaluated:
Figure BDA0003010665640000074
Figure BDA0003010665640000075
Figure BDA0003010665640000081
wherein, when j is equal to n,
Figure BDA0003010665640000082
the radar map eccentricity is further obtained according to equation (16), i.e.: distance between center of gravity G and center of circle O:
Figure BDA0003010665640000083
in order to ensure the uniqueness of the evaluation result, the invention adopts the average area of all sorted radar graphs of the solving index
Figure BDA0003010665640000084
Average circumference
Figure BDA0003010665640000085
And average eccentricity
Figure BDA0003010665640000086
To obtain a unique solution.
Figure BDA0003010665640000087
Figure BDA0003010665640000088
Figure BDA0003010665640000089
The radar map with the same area has smaller circumference and is closer to a circle, and each single fingerThe more balanced the targeting performance. Thus, embodiments of the present invention may use an average area
Figure BDA00030106656400000810
Circumference of corresponding circle of equal area
Figure BDA00030106656400000811
And average circumference
Figure BDA00030106656400000812
Ratio of
Figure BDA00030106656400000813
The equilibrium degree of the efficiency of each single index of the reconnaissance equipment is evaluated. However, using only the perimeter ratio
Figure BDA00030106656400000814
On one hand, the evaluation is not intuitive, and on the other hand, the abnormal value of the index cannot be identified, so that the gravity center and eccentricity characteristics of the radar map are introduced in the embodiment of the invention. In summary, the average area used in the embodiments of the present invention
Figure BDA00030106656400000815
Measuring the sum E of the effectiveness of each single index of the reconnaissance equipment to be evaluated, and using the perimeter ratio
Figure BDA00030106656400000816
And average eccentricity
Figure BDA00030106656400000817
To evaluate the equilibrium degree E of each index efficiency of the reconnaissance equipmentjhAnd is and
Figure BDA00030106656400000818
and
Figure BDA00030106656400000819
can be uniquely determined.
S4 construction of efficiency evaluation model of reconnaissance equipment system
In the performance evaluation of the reconnaissance equipment, the overall performance of the equipment and the balance degree of each single index need to be comprehensively evaluated, so that a comprehensive performance model is constructed as follows:
Figure BDA0003010665640000091
the problem is also transformed into a multi-objective optimization problem, a plurality of methods for transforming multi-objective into single objective are provided, and the invention adopts a weighted sum method and a weighted product method.
By using a weighting method, the following results are obtained:
Figure BDA0003010665640000092
wherein, ω is1，ω2，ω3For the corresponding weight, ω is satisfied1+ω2+ω3The value 1 is generally set by an evaluator in accordance with the actual situation. The latter two terms in the special expression (22) represent the degree of balance of the individual indices, and the larger the value, the more balanced the individual indices of the equipment.
Similarly, the geometric mean method is used to obtain:
Figure BDA0003010665640000093
as is clear from the expressions (22) and (23), E is calculated by the expression (22)ANeed to give a weight ω1，ω2，ω3While the expression (23) is not required, it can be seen that the expression (24) implies
Figure BDA0003010665640000094
And
Figure BDA0003010665640000095
are equally weighted, i.e. ω1＝ω2＝ω3。
However, the reason for this is avoided in the formula (23)
Figure BDA0003010665640000096
Or
Figure BDA0003010665640000097
The variation of (2) causes the evaluation result to be changed sharply, thereby ensuring the stability of the evaluation result.
Therefore, the present invention utilizes equations (22) and (23) to evaluate the effectiveness of the surveillance equipment.
Effects of the embodiment
Three types of commonly used reconnaissance equipment are respectively selected from the texts: GA type hose sight glass, KA type hose sight glass, SA type hose sight glass, wherein the technical index of three types of scouting equipment is seen in table 2.
TABLE 2 technical and tactical indexes of three types of reconnaissance equipment
Figure BDA0003010665640000101
The values in table 1 were normalized according to formula (2) and formula (3) shown in table 3.
TABLE 3 three-level index normalized value of investigation equipment
Figure BDA0003010665640000102
In order to solve the problem of dimension explosion of a Matlab software calculation matrix, the numerical value of a 3-level index is converted into a second-level index, and the conversion formula is
Figure BDA0003010665640000103
The results obtained by converting the data in table 3 according to equation (24) are shown in table 4.
TABLE 4 second-level index values of three reconnaissance devices
Figure BDA0003010665640000111
The index values in table 4 are normalized by the extremum method, i.e.
Figure BDA0003010665640000112
The results after normalization are shown in table 5.
TABLE 5 normalized value of the second-level index of the three types of scouting equipments
Figure BDA0003010665640000113
And drawing a radar map of the three types of reconnaissance equipment and a radar map with indexes in full arrangement according to the table 5, as shown in the figures 3-6.
To evaluate the system performance of the three types of reconnaissance equipment, the data in table 5 are substituted into equation (18), and the average area of each radar map is calculated, which can be obtained:
Figure BDA0003010665640000114
namely the efficiency ranking of three pieces of scout equipment:
6GA type > 6KA type > 6SA type
Similarly, in order to evaluate the balance degree of each single index of the three types of reconnaissance equipment, the data in table 5 is substituted into formula (20), and the average perimeter and the average eccentricity of each radar map are calculated, so that the following results are obtained:
Figure BDA0003010665640000115
wherein the content of the first and second substances,
Figure BDA0003010665640000121
as shown in fig. 7: the radar chart is the distribution condition of the gravity centers of the radar charts with 6GA type hose specula indexes in full arrangement. "o" indicates the center of gravity of the radar chart in which the indices are arranged in full, and "" indicates the average center of gravity.
In the same way
Figure BDA0003010665640000122
Wherein the content of the first and second substances,
Figure BDA0003010665640000123
as shown in fig. 8: the distribution condition "o" of the gravity centers of the radar maps with the fully arranged indexes of the 6KA type hose endoscope indicates the gravity centers of the radar maps with the fully arranged indexes, and "+" indicates the average gravity center.
Same as above
Figure BDA0003010665640000124
Wherein the content of the first and second substances,
Figure BDA0003010665640000125
as shown in fig. 9, fig. 9 shows the distribution of the center of gravity of a radar chart in which 6SA type hose endoscopes are fully aligned. "o" indicates the center of gravity of the radar chart in which the indices are arranged in full, and "" indicates the average center of gravity.
From the above fig. 7 to 9, it can be seen that the center of gravity of the 6GA type hose speculum radar chart has the minimum dispersion degree, and there are not too many abnormal values, and the center of gravity of the 6SA type hose speculum radar chart has the maximum dispersion degree, and there are also many abnormal values.
The balance degree of each single index of the three types of reconnaissance equipment is obtained through calculation:
6GA type > 6KA type > 6SA type
Further substituting equations (27), (28), (30), (32) for equation (23) can calculate the overall performance of the three types of reconnaissance equipment:
Figure BDA0003010665640000131
of course, if take ω1＝ω2＝ω3When 1/3, formula (27), (28), (30), or (32) is substituted for formula (22):
Figure BDA0003010665640000132
therefore, by analyzing equations (35) and (36) in combination, it is possible to obtain:
Figure BDA0003010665640000133
namely:
6GA type > 6KA type > 6SA type (38)
Where X > Y indicates that the system performance of system X is superior to the system performance of system Y.
And (5) drawing a conclusion that: as can be seen from the equation (38), the system performance of the JZ-6GA type hose speculum is the best. Furthermore, when the flexible tube endoscope is used for executing an anti-terrorist reconnaissance task, the target information acquisition capacity, the information processing capacity and the information transmission capacity are main factors for the equipment to exert the efficiency. Therefore, the improvement of the reconnaissance efficiency of the hose scope needs to be started from the following three aspects: (1) the target detection distance of the equipment is increased, particularly the infrared detection distance at night; (2) the configuration of a sensor at the front end is improved, particularly the pixel and image acquisition resolution of a camera are improved; (3) the transmission performance of the active reconnaissance equipment is improved, for example, 5G and microwave transmission functions are loaded, and the communication networking capability of the equipment is further improved.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.

Claims (4)

1. A scout equipment efficiency evaluation method based on an improved radar mapping method is characterized by comprising the following steps:
s1, establishing an index system for the efficiency evaluation of the reconnaissance equipment, and normalizing the evaluation index;
s2, calculating the weight of the efficiency evaluation index of the reconnaissance equipment according to the normalized index;
s3, evaluating the effectiveness of the reconnaissance equipment based on the improved radar map method according to the normalization value and the weight of the effectiveness evaluation index of the reconnaissance equipment;
and S4, constructing a comprehensive efficiency model according to the comprehensive evaluation requirement of the efficiency evaluation of the reconnaissance equipment, and evaluating the efficiency of the reconnaissance equipment through the model.
2. The improved radar mapping-based reconnaissance equipment performance assessment method of claim 1, wherein step S1 comprises the steps of:
s11, constructing a performance-based reconnaissance equipment efficiency evaluation index system;
and S12, normalizing the efficiency evaluation index of the reconnaissance equipment based on linear scale transformation.
3. The improved radar mapping-based reconnaissance equipment performance assessment method of claim 1, wherein step S2 comprises the steps of:
s21, constructing a judgment matrix based on an exponential scaling method;
s22, solving a maximum characteristic root of the judgment matrix;
and S23, performing consistency check on the judgment matrix.
4. The improved radar mapping-based reconnaissance equipment performance assessment method of claim 1, wherein step S3 comprises the steps of:
s31, drawing a radar map of the reconnaissance equipment;
and S32, extracting radar map features of the reconnaissance equipment.
CN202110374573.0A 2021-04-07 2021-04-07 Reconnaissance equipment efficiency evaluation method based on improved radar map method Pending CN112990752A (en)

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CN110909974A (en) * 2019-09-29 2020-03-24 中国人民解放军空军工程大学 Improved radar map evaluation method based on sorting vectors
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