CN110348664A - A kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method - Google Patents

Abstract

The invention discloses a method for evaluating the operational effectiveness of an anti-riot weapon system based on a radar chart method, comprising the following steps: S1, establishing an evaluation index system for the operational effectiveness of an anti-riot weapon system; S2, normalizing and processing the operational effectiveness evaluation indicators for an anti-riot weapon system; S3 1. According to the above-mentioned normalized combat effectiveness index, draw a radar map of the anti-riot weapon system; S4. Establish a comprehensive evaluation model for the combat effectiveness of the anti-riot weapon system. The present invention utilizes a multi-variable graphical evaluation method developed and applied based on similar navigation radar, which well solves the defects of existing methods such as high mathematical requirements, complicated calculation process, and insufficient visual and intuitive evaluation results, and expresses them graphically The quantitative relationship between various indicators in the evaluation is intuitive, the evaluation process is simple, and comprehensive evaluation is realized. The invention can also be used for evaluating the combat effectiveness of other non-lethal weapons, and solves the difficult problem in evaluating the combat effectiveness of weapon systems.

Description

A Method for Combat Effectiveness Evaluation of Anti-riot Weapon System Based on Radar Chart Method

technical field

The invention belongs to the technical field of combat effectiveness evaluation of weapon systems, and in particular relates to a method for evaluating combat effectiveness of anti-riot weapon systems based on a radar graph method.

Background technique

In the complex international environment and intense regional conflicts, terrorism is the main problem facing the international community. Non-lethal weapons are the most effective weapons for international police and forces to deal with terrorism, which also promotes the development of non-lethal weapons technology. At present, the evaluation methods of non-lethal weapons mainly include: the fuzzy comprehensive evaluation method and the combination of power index and analytic hierarchy process. There are two main defects in the above methods: 1) The evaluation results contain subjective factors; 2) The evaluation results cannot directly reflect the relative advantages and disadvantages of each single index of system combat effectiveness.

The radar chart method is an evaluation method for multi-attribute decision making. The method is simple to operate and the evaluation result is intuitive. Compared with the above evaluation methods, the radar chart method can not only directly reflect the quality of the overall performance of the evaluated object, but also give the quality of individual indicators of the evaluated object. To this end, we propose a method for evaluating the combat effectiveness of anti-riot weapon systems based on the radar chart method to solve the problems mentioned in the background technology above.

Contents of the invention

The purpose of the present invention is to provide a method for evaluating the combat effectiveness of anti-riot weapon systems based on radar chart method, so as to solve the problems raised in the above-mentioned background technology.

In order to achieve the above object, the present invention provides the following technical solutions: a method for evaluating the operational effectiveness of an anti-riot weapon system based on the radar chart method, the method comprising the following steps:

S1. Establish an evaluation index system for combat effectiveness of anti-riot weapon systems;

S2. Normalize the combat effectiveness evaluation indicators of anti-riot weapon systems;

S3. Draw a radar map of the anti-riot weapon system according to the above-mentioned normalized combat effectiveness index;

S4. Establish a comprehensive evaluation model for combat effectiveness of anti-riot weapon systems.

Preferably, in step S1, the establishment of an evaluation index system for the combat effectiveness of the anti-riot weapon system mainly includes the effectiveness of the anti-riot bomb, the reliability of the anti-riot weapon system, and the effectiveness of the anti-riot launcher. Among them, the effectiveness of anti-riot bombs mainly includes single-shot, multi-shot (salvo) dispersal area, warhead equivalent, effective range and circular probability error. The reliability of anti-riot weapon system mainly includes environmental adaptability, work reliability and economy. The effectiveness of anti-riot launchers mainly includes the rate of fire, vertical and horizontal launching capabilities, total mass and dimensions.

Preferably, in step S2, it specifically includes: Among the effectiveness indicators of the anti-riot weapon system, the benefit indicators include: single-shot dispersal area A _s , salvo dispersal area A _m , effective range R, warhead equivalent T, and vertical launch angle θ _c , horizontal launch angle θ _s , rate of fire vs _s , environmental adaptability e, work reliability k and economy cb. Cost-type indicators: CEP, total weight M and external dimension C.

For efficiency indicators are:

Similarly, for cost indicators, there are

in, Indicates the normalized value of the jth benefit index in the i-th anti-riot weapon system to be evaluated; i satisfies i=1,2,...,m, m represents m anti-riot weapon systems to be evaluated; j satisfies j=1, 2,...,n, n represents n individual indicators.

Preferably, in the step S3, according to the normalized combat effectiveness index, the anti-riot weapon system radar map is drawn, specifically:

First, draw a circle with O as the center. According to the number n of evaluation indicators, the circle is equally divided by the number axis, and the angle between the equal divisions is obtained as:

α=2π/n (3)

Then, calibrate the normalized value of each indicator on the number axis:

Finally, connect each adjacent indicator with a straight line, and get the radar map of the anti-riot weapon system as an irregular polygon, as shown in Figure 1.

Preferably, in step S4, a comprehensive evaluation model for combat effectiveness of anti-riot weapon systems is established, specifically: assuming that the area of the radar map of the i-th anti-riot weapon system to be evaluated is S _i , and the perimeter is L _i , then

Among them, v _ij is the normalized value of the jth individual index of the i-th anti-riot weapon system to be evaluated;

Due to the different order of index arrangement, the area S _i and perimeter L _i of the radar may not be unique. In order to ensure the uniqueness of the evaluation results, the present invention uses the area and perimeter of the radar chart in Figure 1, that is, the area is the area of all sectors, and the perimeter is the arc length of all sectors.

in, and Respectively represent the fan-shaped area and fan-shaped arc length corresponding to the j-th single index of the i-th anti-riot weapon system to be evaluated.

Further construct the index to measure the overall combat effectiveness of the anti-riot weapon system and the index to measure the balance degree of each individual index of the anti-riot weapon system:

in, Indicates the ratio of the fan-shaped area corresponding to all individual indicators to the fan-shaped area corresponding to the largest index value among all individual indicators, and is used to measure the overall combat effectiveness of the anti-riot weapon system to be evaluated; Indicates the ratio to the circumference of a circle with the same area, and is used to evaluate the balance of each individual index of the anti-riot weapon system to be evaluated. and, and can be uniquely determined.

In the evaluation of combat effectiveness of anti-riot weapon system, it is necessary to comprehensively evaluate the combat effectiveness of the system and the balance degree of each single index of the system, so the following evaluation model is constructed:

The above problem can be transformed into a double-objective optimization problem. There are many methods for transforming multi-objective into single-objective. The present invention adopts weighted sum method and weighted product method.

Using the weighted sum method, we can get

Among them, ω _k , k=1, 2 is the corresponding weight, satisfying Generally set by the evaluator according to the actual situation.

Similarly, the weighted product method can be used to get

It can be seen further that formula (9) implies and The weights of are equal, that is, ω ₁ =ω ₂ .

However, in formula (9), it is possible to avoid the or Changes in the evaluation results will lead to drastic changes, thereby ensuring the stability of the evaluation results. Therefore, the method proposed by the present invention utilizes formula (9) and formula (10) to evaluate the combat effectiveness of the anti-riot weapon system.

Compared with the prior art, the beneficial effects of the present invention are: the present invention provides a method for assessing the operational effectiveness of anti-riot weapon systems based on the radar chart method, and the present invention utilizes a multivariable graphic system developed and used based on similar navigation radars. The evaluation method solves the defects of the existing methods such as high mathematical requirements, complex calculation process, and insufficient visual and intuitive evaluation results, and expresses the quantitative relationship between various indicators in the evaluation in a graphical way, which is intuitive and simple in the evaluation process , and achieve comprehensive evaluation. The invention can also be used for evaluating the combat effectiveness of other non-lethal weapons, and solves the difficult problem in evaluating the combat effectiveness of weapon systems.

Description of drawings

Figure 1 is the radar cloud diagram of the anti-riot weapon system;

Figure 2 is the radar map of three anti-riot weapon systems;

Fig. 3 is a flow chart of the combat effectiveness evaluation method of the anti-riot weapon system of the present invention.

Detailed ways

The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

Example 1

The invention provides a method for evaluating the combat effectiveness of an anti-riot weapon system based on a radar chart method, the method comprising the following steps:

S1. Establish an evaluation index system for combat effectiveness of anti-riot weapon systems;

S2. Normalize the combat effectiveness evaluation indicators of anti-riot weapon systems;

S3. Draw a radar map of the anti-riot weapon system according to the above-mentioned normalized combat effectiveness index;

S4. Establish a comprehensive evaluation model for combat effectiveness of anti-riot weapon systems.

Three commonly used anti-riot weapon systems were selected: anti-riot weapon A, anti-riot weapon B, and anti-riot weapon C. The tactical and technical indicators of the three types of anti-riot weapon systems are shown in Table 1.

Table 1 The tactical and technical indicators of the Type III anti-riot weapon system

It can be obtained from formula (1) and formula (2), and the index values of anti-riot weapon system after normalizing the values in Table 1 are shown in Table 2.

Table 2 Normalized value of Type III anti-riot weapon system

index Anti-riot weapon A Anti riot weapon B Anti riot weapon C A_s 0.12 1 0.12 A_m 0.8333 1 0.0917 T 0.75 1 0.6563 R 0.3333 1 1 CEP 0.6 0.75 1 v_s 0.05 0.05 1 θ_c 0.75 1 1 θ_s 0.5 1 0.5 m 1 0.136 0.0872 L×W×H 1 0.2 0.075 e 0.9694 0.9694 1 k 1 1 1 Cb 0.8889 0.9444 1

According to the data in Table 2, use Matlab software to draw the radar map of the three types of anti-riot weapon system, as shown in Figure 2, in Figure 2 Means "riot weapon A", Indicates "riot weapon B", Stands for "Riot Weapon C".

Substituting the data in Table 2 into formula (6), we can get

and

Further substitute formula (11) and formula (12) into formula (9) to get

Of course, if ω ₁ =ω ₂ =0.5, substituting formula (11) and formula (12) into formula (10) can get

Therefore, comprehensively analyzing formula (13) and formula (14), we can get

which is

Riot Weapon B＞Riot Weapon A＞Riot Weapon C (16)

Where X>Y means that the combat effectiveness of system X is better than that of system Y.

In summary, compared with the prior art, the present invention utilizes a multi-variable graphical evaluation method developed and applied based on similar navigation radars, which solves the problem of high mathematical requirements, complicated calculation process and poor evaluation results of the existing methods. The defect of not being visually intuitive enough, and expressing the quantitative relationship between various indicators in the evaluation in a graphical way, intuitive image, simple evaluation process, and comprehensive evaluation. The invention can also be used for evaluating the combat effectiveness of other non-lethal weapons, and solves the difficult problem in evaluating the combat effectiveness of weapon systems.

Finally, it should be noted that: the above is only a preferred embodiment of the present invention, and is not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, for those skilled in the art, it still The technical solutions recorded in the foregoing embodiments may be modified, or some of the technical features may be replaced equivalently, and any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the within the protection scope of the present invention.

Claims (5)

1. A combat effectiveness evaluation method of an anti-riot weapon system based on a radar map method is characterized by comprising the following steps: the method comprises the following steps:

s1, establishing an anti-riot weapon system combat effectiveness evaluation index system;

s2, normalizing the battle effectiveness evaluation indexes of the anti-riot weapon system;

s3, drawing an anti-riot weapon system radar chart according to the normalized combat effectiveness index;

and S4, establishing a comprehensive evaluation model of the combat effectiveness of the anti-riot weapon system.

2. The method of claim 1, wherein the method comprises the following steps: the combat effectiveness evaluation index system established in the step S1 mainly comprises the effectiveness of the anti-riot bomb, the reliability of the anti-riot weapon system and the effectiveness of the anti-riot emitter; wherein, the anti-riot bullet efficiency comprises single shot, multiple simultaneous-shot scattering area, equivalent warhead, effective range and circle probability error; the reliability of the anti-riot weapon system comprises environmental adaptability, working reliability and economy; riot emitter efficacy includes beam speed, vertical, horizontal emission capability, total mass and physical dimensions.

3. The method of claim 1, wherein the method comprises the following steps: the normalization processing of the combat effectiveness evaluation indexes of the anti-riot weapon system in the step S2 specifically includes:

among the efficacy indexes of the anti-riot weapon system, the benefit indexes are as follows: single hair dispersing area A_sUniform ejection and dispersion area A_mEffective range R, equivalent T of warhead, and vertical launch angle theta_cHorizontal emission angle theta_sInjection velocity v_sEnvironmental suitability e, operational reliability k and economy cb. Cost type index: CEP, total weight M and physical dimension C.

The benefit type indexes are as follows:

similarly, the cost-type indexes are:

wherein,expressing the normalized value of the jth benefit index in the ith antiriot weapon system to be evaluated; i satisfies i ═ 1,2, …, m, m denotes m riot weapon systems to be evaluated; j satisfies j ═ 1,2, …, n, n denotes n individual indices.

4. The method of claim 1, wherein the method comprises the following steps: in the step S3, according to the normalized combat effectiveness index, a radar chart of the anti-riot weapon system is drawn, specifically:

first, draw a circle with O as the center. According to the number n of the evaluation indexes, equally dividing the circle by using a number axis to obtain an included angle between equal divisions as follows:

α＝2π/n (3)

then, calibrating the normalized values of all indexes on a numerical axis:

and finally, connecting all adjacent indexes by using straight lines to obtain a radar map with an irregular polygon as an anti-riot weapon system.

5. The method of claim 1, wherein the method comprises the following steps: in the step S4, establishing an integrated evaluation model of combat effectiveness of the anti-riot weapon system, specifically:

suppose that the radar chart of the ith antiriot weapon system to be evaluated has an area S_iA circumference of L_iThen, then

Wherein v is_ijNormalizing the j individual index value of the ith antiriot weapon system to be evaluated;

the area S of the radar is different due to different sequences of index arrangement_iCircumference L_iMay not be unique; in order to ensure the uniqueness of the evaluation result, the area and the perimeter of the radar map in FIG. 1 are adopted, namely the area is the area of all sectors, and the perimeter is the arc length of all sectors;

wherein,andrespectively representing the sector area and the sector arc length corresponding to the jth single index of the ith explosion-proof weapon system to be evaluated;

further respectively constructing an index for measuring the overall operational effectiveness of the anti-riot weapon system and an index for measuring the balance degree of each single index of the anti-riot weapon system:

wherein,the ratio of the sector area corresponding to all the single indexes to the sector area corresponding to the maximum index value in all the single indexes is expressed, and the ratio is used for measuring the overall operational efficiency of the anti-riot weapon system to be evaluated;the ratio of the circumference of the circle with the same area is expressed and used for evaluating the balance degree of each single index of the antiriot weapon system to be evaluated; and,andcan be uniquely determined;

in the battle effectiveness evaluation of the anti-riot weapon system, the battle effectiveness of the system and the balance degree of each single index of the system need to be comprehensively evaluated, so that the following evaluation model is constructed:

the problem can be converted into a dual-target optimization problem, and a plurality of methods for converting multiple targets into single targets adopt a weighted sum method and a weighted product method;

using a weighted sum method, one can obtain:

wherein, ω is_kK is 1 and 2 is the corresponding weight, satisfyGenerally set by an evaluator according to actual conditions;

similarly, the following can be obtained by using a weighted product method:

from the formulas (8) and (9), the E is calculated by the formula (8)^ANeed to be given a corresponding weight ω_kWhere k is 1,2, and the calculation of equation (9) does not require weighting, it is further understood that equation (9) impliesAndare equally weighted, i.e. ω₁＝ω₂；

But the reason for this is avoided in the formula (9)OrThe variation of (2) causes the evaluation result to be changed sharply, thereby ensuring the stability of the evaluation result.