CN114048637B - Meta-normal-form-based rapid target damage calculation method - Google Patents

Meta-normal-form-based rapid target damage calculation method Download PDF

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CN114048637B
CN114048637B CN202210025388.5A CN202210025388A CN114048637B CN 114048637 B CN114048637 B CN 114048637B CN 202210025388 A CN202210025388 A CN 202210025388A CN 114048637 B CN114048637 B CN 114048637B
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CN114048637A (en
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赵国宏
江光德
蒋鸣
高润芳
赵云飞
陈豪
宫树香
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Abstract

The invention belongs to the field of military operation and research, and particularly relates to a target damage calculation method. The technical scheme provides a rapid target damage calculation method based on a meta-normal form, which is characterized by comprising the following steps of: decomposing the target into a plurality of independent and non-overlapping meta-targets according to the shape characteristics of the target area; calculating the damage probability of the meta-target by using a mathematical analysis method; and directly simulating to generate a conclusion whether each meta-target is damaged by using the meta-target analysis damage probability as a simulation input condition by using a simulation method, thereby obtaining the target damage probability. According to the method, the damage result of each simulation meta-target is directly simulated, so that each simulation calculation process in the simulation process is omitted, the calculation amount is greatly reduced, and the calculation time is greatly shortened; and the meta-knowledge base is constructed universally, so that the calculation efficiency is improved.

Description

Meta-normal-form-based rapid target damage calculation method
Technical Field
The invention belongs to the technical field of military operational research, and particularly relates to a rapid target damage calculation method.
Background
Target damage calculation refers to predicting the effect of a target after being hit by a weapon, and is generally described by the probability that the target meets a certain damage requirement. The general calculation method generally adopts finite element calculation, monte carlo simulation calculation and the like. Finite element calculation needs target accurate modeling and then carries out a large amount of analog simulation calculation, and the calculation result is accurate but not suitable for military operation and research batch application; the accuracy requirement of target modeling data required by Monte Carlo simulation calculation is greatly reduced, the calculation efficiency is also greatly improved, but compared with the real-time dynamic planning requirement of modern war, the problem of low calculation efficiency of simultaneously dealing with a large number of targets still exists. The target damage evaluation indexes are generally represented by (point target) average damage probability, (line target) average relative damage length, and (plane target) average relative damage area (reference document, "simulation calculation of traffic key target damage, and 6 th 2010 of national defense traffic engineering and technology). The evaluation indexes physically and objectively describe the damage condition of the target by the weapon, but different model calculation methods are adopted for targets with different shapes, the model method is complex, the realization difficulty is high, and the calculation efficiency is low.
Disclosure of Invention
The invention aims to provide a rapid target damage calculation method based on a meta-normal form aiming at the existing point target, line target and surface target, so that the damage calculation methods of three types of targets are unified by the same meta-normal form, and the damage calculation efficiency is improved.
In order to achieve the above purpose, the invention idea is: the invention skillfully decomposes three types of target areas with different shapes, such as a point target, a line target, a surface target and the like, into a plurality of mutually independent and non-overlapping areas which are called meta-targets; and the damage probability calculation of the metatarget under different distance aiming points, a plurality of aiming points and a plurality of weapons is realized by utilizing an analytic calculation method, and the calculation model can be called as a metamodel. On the basis of obtaining the analytic damage probability of each meta-target corresponding to the target, carrying out an analog simulation method by taking the analytic damage probability as an input condition to generate [0,1] interval uniform probability random numbers for each meta-target, and respectively comparing the random numbers with the analytic damage probability to obtain a result of whether the meta-target is damaged; counting the number of the damaged meta-targets to obtain a result of whether the targets are damaged under the simulation; thus, the analytic calculation value of the single-element target is combined with a simulation method to obtain the damage result of the whole target; and carrying out multiple times of simulation, and counting multiple times of simulation target damage results to obtain the target damage probability. In the analysis calculation, the data are normalized into the meta-target and the meta-model, so that the method is suitable for various parameter weapons and various target areas, and the calculated data are stored as meta-knowledge, so that the calculation amount in the subsequent planning and transportation process can be reduced, and the calculation efficiency is further improved.
The technical scheme of the invention is as follows:
a rapid target damage calculation method based on a meta-normal form is characterized by comprising the following steps:
it is known that: the position area of the target is not a point target, the number of aiming points is W, the position of each aiming point and the number of weapons used
Figure 973797DEST_PATH_IMAGE001
Common deviation of the falling point circle
Figure 235145DEST_PATH_IMAGE002
To thereby
Figure 77199DEST_PATH_IMAGE003
Radius of destruction in units
Figure 472409DEST_PATH_IMAGE004
Selecting a basic geometric body as a meta-object according to the shape characteristics of the target position area, and decomposing the object into a plurality of mutually independent and non-overlapping meta-objects; calculating damage probability of each meta-target under the number of weapons used by each aiming point by using a mathematical analysis method, and defining the damage probability as the meta-target analysis damage probability; defining the mathematical analysis method as a meta model;
by utilizing a simulation method, the destruction probability of the meta-target is analyzed as a simulation input condition, and the destruction probability of each meta-target is generated through direct simulation to generate a conclusion whether the target is destroyed or not; and carrying out simulation for multiple times to obtain the target damage probability.
Further, the meta-normal-form-based fast target damage calculation method is characterized in that: dividing the target into a line target and a surface target; selecting a point target as the meta target; when the target is a line target, decomposing the line target into a plurality of element targets along the extension direction of the line target according to a certain step length; and when the target is a face target, decomposing the face target area into a plurality of meta targets according to a certain step length.
Further, the meta-normal-form-based fast target damage calculation method is characterized in that: the mathematical analysis method comprises the following steps:
defining the number of weapons used at aiming point i as
Figure 755622DEST_PATH_IMAGE001
Figure 146459DEST_PATH_IMAGE005
The common deviation of the falling point circle is
Figure 741389DEST_PATH_IMAGE006
To do so by
Figure 18918DEST_PATH_IMAGE007
The destruction radius in units of
Figure 891059DEST_PATH_IMAGE004
(ii) a The damage probability of the aiming point i to the metatarget j
Figure 477898DEST_PATH_IMAGE008
Comprises the following steps:
Figure 809391DEST_PATH_IMAGE009
wherein:
Figure 15244DEST_PATH_IMAGE010
the damage probability of the meta-target j when the number of the weapons used for the aiming point i is 1;
Figure 273050DEST_PATH_IMAGE011
in the formula, D is
Figure 561949DEST_PATH_IMAGE012
The circle region (A), (B)
Figure 6837DEST_PATH_IMAGE013
,
Figure 626168DEST_PATH_IMAGE014
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
Figure 597535DEST_PATH_IMAGE015
is the distance of the aiming point i from the meta-target j, i.e.
Figure 401543DEST_PATH_IMAGE016
Figure 710558DEST_PATH_IMAGE017
To be provided with
Figure 258214DEST_PATH_IMAGE006
In the unit of the number of the units,
Figure 349667DEST_PATH_IMAGE018
is a constant number 0.832555;
analytic damage probability of the Meta-object j
Figure 199942DEST_PATH_IMAGE019
For W aiming points
Figure 353843DEST_PATH_IMAGE020
The damage probability calculation value of the weapon on the meta-target j is as follows:
Figure 829824DEST_PATH_IMAGE021
further, the meta-normal-form-based fast target damage calculation method is characterized in that: to increase the speed of computing meta-object resolution damage probabilities
Figure 182308DEST_PATH_IMAGE022
The method is obtained by establishing a meta-knowledge base for query; the meta-knowledge base comprises a common deviation of weapon falling point circlesDifference (D)
Figure 124856DEST_PATH_IMAGE006
Radius of destruction in units
Figure 31632DEST_PATH_IMAGE004
By the common calculation of deviation of weapon falling point circle
Figure 294992DEST_PATH_IMAGE006
Distance of the meta-target j in units from the aiming point i
Figure 236403DEST_PATH_IMAGE023
Number of weapons
Figure 677749DEST_PATH_IMAGE001
And probability of damage
Figure 602980DEST_PATH_IMAGE024
The corresponding relationship information item of (1).
Further, the meta-normal-form-based fast target damage calculation method is characterized in that the method for calculating the target damage probability by using the simulation method comprises the following steps: respectively generating uniform [0,1] interval probability random numbers aiming at the meta-targets by using an analog simulation method, and comparing the probability random numbers with the analytic damage probability of the meta-targets to obtain a result of whether the meta-targets are damaged; counting the number of the damaged meta-targets under the current simulation probability random number to obtain a result of whether the current simulation probability random number is damaged; and performing multiple times of simulation, wherein the probability that the target is damaged through multiple times of simulation is used as the target damage probability.
Further, the meta-normal-form-based fast target damage calculation method is characterized in that the step of calculating the target damage probability by using the simulation method comprises the following steps:
step1. convert the damage ratio requirement into the number of meta-objects that need to be damaged, the conversion formula is:
Figure 905916DEST_PATH_IMAGE025
wherein the content of the first and second substances,
Figure 436255DEST_PATH_IMAGE026
the number of meta-objects decomposed for the object,
Figure 48502DEST_PATH_IMAGE014
in order to meet the requirement of the damage proportion,
Figure 306701DEST_PATH_IMAGE027
in order to get the whole upwards,
Figure 537962DEST_PATH_IMAGE028
the number of the meta-objects needing to be damaged is required for the damage proportion;
step2, carrying out single simulation to obtain the result of whether the target is damaged or not
The meta-object damage result: carrying out single simulation to generate [0,1] uniform probability random numbers of the meta-targets; comparing the probability random number of the meta-target with the meta-target analysis damage probability obtained by analysis and calculation, wherein if the probability random number is greater than the meta-target analysis damage probability, the meta-target damage result is not damaged, otherwise, the meta-target damage result is damaged;
the target damage result is as follows: counting the number of the metaobjects with the damage results being damaged
Figure 578599DEST_PATH_IMAGE029
And is and
Figure 768272DEST_PATH_IMAGE030
make a comparison if
Figure 668095DEST_PATH_IMAGE031
If the target is not damaged, the simulation is carried out at this time; otherwise, simulating the damage of the target by the simulation;
step3. calculating damage probability of target
Repeating the simulation for M times, and counting the times of the damage of the target in the simulation for M times
Figure 234206DEST_PATH_IMAGE032
Then the damage probability of the target is:
Figure 348923DEST_PATH_IMAGE033
the invention has the beneficial effects that: the invention provides a rapid target damage calculation method based on a meta-normal form, which decomposes a point target, a line target and a surface target into one or more meta-targets, rapidly calculates the damage probability of each meta-target by using an analytic calculation method, and directly generates the damage result of the meta-target by using the analytic calculation probability of each meta-target in ingenious combination with a simulation method, thereby avoiding the problems that the traditional simulation method generates the position of a weapon drop point first and then calculates the specific damage condition of each simulation target according to the drop point position. Because the damage result of each simulation metatarget is directly simulated, each simulation calculation process in the simulation process is saved, the calculation amount is greatly reduced, and the calculation time is greatly shortened. Meanwhile, the concept removes the particularity of weapon performance by calculating the damage probability of the single aiming point to the meta-target and inputting the factors, extracts the relation between general parameters and damage effect to construct a meta-knowledge base, and the meta-knowledge base is used for inquiring the meta-target analysis damage probability, so that the project calculation efficiency can be further improved, and the superiority is particularly obvious in real-time quick project. The meta-paradigm thought of the meta-object, the meta-model and the meta-knowledge provided by the method can be further extended to other types of meta-objects.
Drawings
FIG. 1 is a schematic flow chart executed in embodiment 1 of the present invention;
fig. 2 is a schematic diagram of a target decomposition element target and an aiming point position in embodiment 2 of the present invention.
Detailed Description
The technical scheme of the invention is further specifically described with reference to the accompanying drawings and specific embodiments.
The following further describes the embodiments of the present invention with reference to the accompanying drawings 1-2. The present invention is not limited to the description of the following examples.
Example 1: this embodiment gives a specific example. The flow of execution is shown in fig. 1.
The method comprises the following steps: decomposing the target into N non-overlapping meta-targets according to a certain step length;
step two: inquiring damage probability of each aiming point to each meta-target j independently in meta-knowledge base
Figure 771814DEST_PATH_IMAGE034
Using the common deviation of weapon's falling point circle with aiming point i
Figure 362196DEST_PATH_IMAGE035
Radius of destruction in units
Figure 574740DEST_PATH_IMAGE004
Distance of the meta-object j from the aiming point i
Figure 793232DEST_PATH_IMAGE015
Respectively inquiring the current weapon number used by each aiming point in the meta-knowledge base
Figure 59128DEST_PATH_IMAGE036
The damage probability of each said meta-object
Figure 667964DEST_PATH_IMAGE037
(ii) a If there is no corresponding one in the meta-knowledge base
Figure 841456DEST_PATH_IMAGE004
Figure 930766DEST_PATH_IMAGE038
Figure 367564DEST_PATH_IMAGE036
Figure 57171DEST_PATH_IMAGE039
Then, the step three is executed to analyze and calculate the damage probability of the meta-target
Figure 237617DEST_PATH_IMAGE040
Adding the calculation result to the meta-knowledge base;
step three, the analytic calculation method for calculating the damage probability of each aiming point to each element target j independently comprises the following steps:
step31 calculating damage probability of aiming point i to meta-target j by using single weapon
Figure 948477DEST_PATH_IMAGE041
(ii) a This embodiment calculates by the circle coverage function:
Figure 415231DEST_PATH_IMAGE011
in the formula, D is
Figure 467500DEST_PATH_IMAGE042
The circle region (A), (B)
Figure 795845DEST_PATH_IMAGE043
,
Figure 109014DEST_PATH_IMAGE044
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
Figure 622035DEST_PATH_IMAGE004
using the destruction radius of the weapon for aiming point i,
Figure 535502DEST_PATH_IMAGE017
is the distance of the aiming point i from the meta-target j, i.e.
Figure 323330DEST_PATH_IMAGE045
Figure 163110DEST_PATH_IMAGE004
Figure 643770DEST_PATH_IMAGE015
Using the weapon's setpoint circle common deviation (i.e. using the aiming point i)
Figure 670631DEST_PATH_IMAGE046
) In the unit of the number of the units,
Figure 527729DEST_PATH_IMAGE047
is a constant number 0.832555;
step32 calculates the number of weapons used at a single aiming point i as
Figure 81070DEST_PATH_IMAGE048
In time, damage probability to meta-object j
Figure 201473DEST_PATH_IMAGE049
Figure 325418DEST_PATH_IMAGE050
Wherein the content of the first and second substances,
Figure 455048DEST_PATH_IMAGE049
the damage probability of using a single weapon for the aiming point i to the meta-target j,
Figure 3841DEST_PATH_IMAGE048
the number of weapons at aiming point i; if it is
Figure 419779DEST_PATH_IMAGE048
When the number of the carbon atoms is 1,
Figure 421233DEST_PATH_IMAGE051
step four, calculating the analytic damage probability of the meta-target j
Figure 477524DEST_PATH_IMAGE052
Analytic damage probability of the Meta-object j
Figure 880824DEST_PATH_IMAGE053
For W aiming points
Figure 608608DEST_PATH_IMAGE054
The damage probability calculation value of the weapon on the meta-target j, namely the analytic damage probability of the meta-target j, has the formula: the formula is as follows:
Figure 956413DEST_PATH_IMAGE021
and step five, converting the damage proportion requirement into the number of the metatargets needing to be damaged.
Converting the damage proportion requirement into the number of the meta-targets needing damage, wherein the conversion formula is as follows:
Figure 162266DEST_PATH_IMAGE055
wherein, N is the number of the metatargets of the target decomposition, b is the damage proportion requirement, ceil is rounding-up, and k is the number of the metatargets needing damage corresponding to the damage proportion requirement;
step six, carrying out simulation
And repeating the simulation for M times, and uniformly generating a damage condition matrix of each meta-target in the simulation for M times according to the damage probability of each meta-target. The matrix may be generated in a number of ways, such as one [0,1] per simulation for each meta-object]Interval is uniform random number, if the number is less than or equal to the damage probability of the metatarget, the damage condition of the metatarget j in the k-th simulation
Figure 29859DEST_PATH_IMAGE056
Set to 1, otherwise set to 0. The generated damage condition matrix is as follows:
H=
Figure 928545DEST_PATH_IMAGE057
wherein, each row represents the damage condition of N metatargets in one simulation, and each column represents the damage condition of M simulations of the metatargets.
Step seven, setting the target damage times C to be 0, and then counting the number of damaged metatargets in each row in M rows, namely
Figure 232488DEST_PATH_IMAGE058
If, if
Figure 242032DEST_PATH_IMAGE059
And the target damage in the simulation is described, and the target damage frequency C = C + 1.
Step eight, according to the formula
Figure 728246DEST_PATH_IMAGE060
And calculating to obtain the damage probability of the target.
Example 2: to further illustrate the technical solution of the present invention, a specific objective is presented for the damage calculation method.
The line object shown in FIG. 2 is divided into two straight line segments, one segment is (0,5) - > (20,5) and the other segment is (20,5) - > (20, 20). The aiming points are divided into two parts, one part is (10,5), 2 weapons are used, the other part is (20, 10), 1 weapon is used, the CEP of the weapons used by the two aiming points is 20, and the weapon with the damage radius of 30 (the relative CEP value is 1.5) is used for striking.
First, according to a specified step length 1, a line target is decomposed into 35 meta targets (point targets), which are respectively: (0.5, 5), (1.5, 5), (2.5, 5), (3.5, 5), (4.5, 5), (5.5, 5), (6.5, 5), (7.5, 5), (8.5, 5), (9.5, 5), (10.5, 5), (11.5, 5), (12.5, 5), (13.5, 5), (14.5, 5), (15.5, 5), (16.5, 5), (17.5, 5), (18.5, 5), (19.5, 5), (20, 5.5), (20, 6.5), (20, 7.5), (20, 8.5), (20, 9.5), (20, 10.5), (20, 11.5), (20, 12.5), (20, 13.5), (20, 14.5), (20, 15.5), (20, 16.5), (20, 17.5), (20, 18.5), (20, 19.5).
And secondly, circulating each meta-target, inquiring or calculating damage probability of the two aiming points to the meta-target respectively from the meta-knowledge, and referring to the single-shot damage probability column data of the aiming points in the following.
Thirdly, calculating damage probability of a plurality of aiming points to the element target j
Figure 391308DEST_PATH_IMAGE061
See the column data for the actual shot size damage probability for the aiming point in the following.
Figure 323492DEST_PATH_IMAGE062
And fourthly, calculating the number of the metaobjects of which the objects need to be damaged. The required coverage ratio is 40%, K =14 is calculated according to the formula,
and fifthly, uniformly generating a damage condition matrix of each meta-object in 100 times of simulation according to the specified simulation times of 100 and the damage probability of each meta-object. Because the data is generated randomly, the data has certain fluctuation, and a damage condition matrix generated specifically at a certain time is (the number of behavior simulation times is listed as each element target and is limited by space, and is divided into two tables):
Figure 12094DEST_PATH_IMAGE063
Figure 713334DEST_PATH_IMAGE064
Figure 812877DEST_PATH_IMAGE065
Figure 609188DEST_PATH_IMAGE066
sixthly, counting the number of damaged meta-objects in each row in M rows to obtain the damaged times of the objects
Figure 960535DEST_PATH_IMAGE067
Seventhly, calculating the damage probability of the target according to a formula
Figure 640915DEST_PATH_IMAGE068

Claims (2)

1. A rapid target damage calculation method based on a meta-normal form is characterized by comprising the following steps:
it is known that: the position area of the target is not a point target, the number of aiming points is W, the position of each aiming point and the number of weapons used
Figure DEST_PATH_IMAGE001
Common deviation of the falling point circle
Figure 726757DEST_PATH_IMAGE002
To thereby
Figure 438361DEST_PATH_IMAGE002
Radius of destruction of weapon
Figure DEST_PATH_IMAGE003
According to the shape characteristics of a target area, selecting a basic geometric body as a meta-target, and decomposing the target into a plurality of mutually independent and non-overlapping meta-targets, specifically: dividing the target into a line target and a surface target; selecting a point target as the meta target; when the target is a line target, decomposing the line target into a plurality of element targets along the extension direction of the line target according to a certain step length; when the target is a face target, decomposing the face target area into a plurality of meta targets according to a certain step length;
calculating damage probability of each meta-target under the number of weapons used by each aiming point by using a mathematical analysis method, and defining the damage probability as the meta-target analysis damage probability; defining the mathematical analysis method as a meta model; the mathematical analysis method comprises the following steps:
defining the number of weapons used at aiming point i as
Figure 490500DEST_PATH_IMAGE001
Figure 567040DEST_PATH_IMAGE004
The common deviation of the falling point circle is
Figure 150468DEST_PATH_IMAGE002
To do so by
Figure 587135DEST_PATH_IMAGE002
The destruction radius in units of
Figure 572408DEST_PATH_IMAGE003
(ii) a The damage probability of the aiming point i to the metatarget j
Figure DEST_PATH_IMAGE005
Comprises the following steps:
Figure DEST_PATH_IMAGE007
wherein:
Figure 819850DEST_PATH_IMAGE008
when the number of weapons used for the aiming point i is 1, the damage probability of the metatarget j
Figure 80455DEST_PATH_IMAGE010
Figure 133861DEST_PATH_IMAGE012
In the formula, D is
Figure DEST_PATH_IMAGE013
The circle region (A), (B)
Figure 911324DEST_PATH_IMAGE014
,
Figure DEST_PATH_IMAGE015
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
Figure 578935DEST_PATH_IMAGE016
is the distance of the aiming point i from the meta-target j, i.e.
Figure DEST_PATH_IMAGE017
Figure 809059DEST_PATH_IMAGE016
To be provided with
Figure 853107DEST_PATH_IMAGE002
In units, constant 0.832555;
analytic damage probability of the Meta-object j
Figure 547394DEST_PATH_IMAGE018
For W aiming points
Figure DEST_PATH_IMAGE019
The damage probability calculation value of the weapon on the meta-target j is as follows:
Figure DEST_PATH_IMAGE021
by utilizing a simulation method, the destruction probability of the meta-target is analyzed as a simulation input condition, and the destruction probability of each meta-target is generated through direct simulation to generate a conclusion whether the target is destroyed or not; carrying out simulation for multiple times to obtain the target damage probability, wherein the specific method comprises the following steps: respectively generating uniform [0,1] interval probability random numbers aiming at the meta-targets by using an analog simulation method, and comparing the probability random numbers with the analytic damage probability of the meta-targets to obtain a result of whether the meta-targets are damaged; counting the number of the damaged meta-targets under the current simulation probability random number to obtain a result of whether the current simulation probability random number is damaged; performing multiple times of simulation, and taking the probability that the target is damaged through multiple times of simulation as the target damage probability;
the step of calculating the target damage probability by a multiple-time simulation method comprises the following steps:
step1. convert the damage ratio requirement into the number of meta-objects that need to be damaged, the conversion formula is:
Figure DEST_PATH_IMAGE023
wherein the content of the first and second substances,
Figure 323589DEST_PATH_IMAGE024
the number of meta-objects decomposed for the object,
Figure 306588DEST_PATH_IMAGE015
in order to meet the requirement of the damage proportion,
Figure DEST_PATH_IMAGE025
in order to get the whole upwards,
Figure 891678DEST_PATH_IMAGE026
the number of the meta-objects needing to be damaged is required for the damage proportion;
step2, carrying out single simulation to obtain the result of whether the target is damaged or not
The meta-object damage result: carrying out single simulation to generate [0,1] uniform probability random numbers of the meta-targets; comparing the probability random number of the meta-target with the meta-target analysis damage probability obtained by analysis and calculation, wherein if the probability random number is greater than the meta-target analysis damage probability, the meta-target damage result is not damaged, otherwise, the meta-target damage result is damaged;
the target damage result is as follows: counting the number of the metaobjects with the damage results being damaged
Figure DEST_PATH_IMAGE027
And is and
Figure 378154DEST_PATH_IMAGE028
make a comparison if
Figure DEST_PATH_IMAGE029
If the target is not damaged, the simulation is carried out at this time; otherwise, simulating the damage of the target by the simulation;
step3. calculating damage probability of target
Repeating the simulation for M times, and counting the times of the damage of the target in the simulation for M times
Figure 653147DEST_PATH_IMAGE030
Then the damage probability of the target is:
Figure DEST_PATH_IMAGE031
2. the meta-normal based fast target damage calculation method as claimed in claim 1, wherein: to increase the speed of computing meta-object resolution damage probabilities
Figure 920180DEST_PATH_IMAGE005
The method is obtained by establishing a meta-knowledge base for query; the meta-knowledge base comprises weapon falling point circle common calculation deviation
Figure 56763DEST_PATH_IMAGE002
Radius of destruction in units
Figure 460063DEST_PATH_IMAGE003
By the common calculation of deviation of weapon falling point circle
Figure 905956DEST_PATH_IMAGE002
Distance of the meta-target j in units from the aiming point i
Figure 660286DEST_PATH_IMAGE032
Number of weapons
Figure 334981DEST_PATH_IMAGE001
And probability of damage
Figure DEST_PATH_IMAGE033
The corresponding relationship information item of (1).
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