CN114048637A - Meta-normal-form-based rapid target damage calculation method - Google Patents
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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
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
Common deviation of the falling point circle
To thereby
Radius of destruction in units
；
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
，
The common deviation of the falling point circle is
To do so by
The destruction radius in units of
(ii) a The damage probability of the aiming point i to the metatarget j
Comprises the following steps:
wherein:
the damage probability of the meta-target j when the number of the weapons used for the aiming point i is 1;
in the formula, D is
The circle region (A), (B)
,
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
is the distance of the aiming point i from the meta-target j, i.e.
， 
To be provided with
In the unit of the number of the units,
is a constant number 0.832555;
analytic damage probability of the Meta-object j
For W aiming points
The damage probability calculation value of the weapon on the meta-target j is as follows:
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
The method is obtained by establishing a meta-knowledge base for query; the meta-knowledge base comprises the common calculation deviation of weapon falling point circles
Radius of destruction in units
By the common calculation of deviation of weapon falling point circle
Distance of the meta-target j in units from the aiming point i
Number of weapons
And probability of damage
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:
wherein the content of the first and second substances,
the number of meta-objects decomposed for the object,
in order to meet the requirement of the damage proportion,
in order to get the whole upwards,
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
And is and
make a comparison if
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
Then the damage probability of the target is:
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
；
Using the common deviation of weapon's falling point circle with aiming point i
Radius of destruction in units
Distance of the meta-object j from the aiming point i
Querying the meta-knowledge base for the use of each aiming point respectivelyCurrent number of weapons
The damage probability of each said meta-object
(ii) a If there is no corresponding one in the meta-knowledge base
，
，
，
Then, the step three is executed to analyze and calculate the damage probability of the meta-target
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
(ii) a This embodiment calculates by the circle coverage function:
in the formula, D is
The circle region (A), (B)
,
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
using the destruction radius of the weapon for aiming point i,
is the distance of the aiming point i from the meta-target j, i.e.
，
，
Using the weapon's setpoint circle common deviation (i.e. using the aiming point i)
) In the unit of the number of the units,
is a constant number 0.832555;
step32 calculates the number of weapons used at a single aiming point i as
In time, damage probability to meta-object j
；
Wherein the content of the first and second substances,
the damage probability of using a single weapon for the aiming point i to the meta-target j,
the number of weapons at aiming point i; if it is
When the number of the carbon atoms is 1,
；
step four, calculating the analytic damage probability of the meta-target j
Analytic damage probability of the Meta-object j
For W aiming points
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:
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:
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
Set to 1, otherwise set to 0. The generated damage condition matrix is as follows:
H= 
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
If, if
And the target damage in the simulation is described, and the target damage frequency C = C + 1.
Step eight, according to the formula
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
See the column data for the actual shot size damage probability for the aiming point in the following.
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):
sixthly, counting the number of damaged meta-objects in each row in M rows to obtain the damaged times of the objects
。
Seventhly, calculating the damage probability of the target according to a formula
。
Claims (6)
1. A rapid target damage calculation method based on a meta-normal form is characterized by comprising the following steps:
it is known that: target position area and target is not point target, number of aiming points is W, and position of each aiming point and number of weapons used
Common deviation of the falling point circle
To thereby
Radius of destruction in units
；
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.
2. The meta-normal based fast target damage calculation method as claimed in claim 1, wherein: 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.
3. The meta-normal based fast target damage calculation method as claimed in claim 2, wherein: the mathematical analysis method comprises the following steps:
defining the number of weapons used at aiming point i as
，
The common deviation of the falling point circle is
To do so by
The destruction radius in units of
(ii) a The damage probability of the aiming point i to the metatarget j
Comprises the following steps:
wherein:
the damage probability of the meta-target j when the number of the weapons used for the aiming point i is 1;
in the formula, D is
The circle region (A), (B)
,
) Is the relative position coordinate of the metatarget j with respect to the aiming point i,
is the distance of the aiming point i from the meta-target j, i.e.
， 
To be provided with
In the unit of the number of the units,
is a constant number 0.832555;
analytic damage probability of the Meta-object j
For W aiming points
The damage probability calculation value of the weapon on the meta-target j is as follows:
4. a meta-paradigm based fast target damage computation method as claimed in claim 3, characterized by: to increase the speed of computing meta-object resolution damage probabilities
The method is obtained by establishing a meta-knowledge base for query; the meta-knowledge base comprises the common calculation deviation of weapon falling point circles
Radius of destruction in units
By the common calculation of deviation of weapon falling point circle
Distance of the meta-target j in units from the aiming point i
Number of weapons
And probability of damage
The corresponding relationship information item of (1).
5. The method as claimed in claim 3, wherein the method for calculating the target damage probability by using simulation method comprises: 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.
6. The method as claimed in claim 5, wherein the step of calculating the target damage probability by using simulation method comprises:
step1. convert the damage ratio requirement into the number of meta-objects that need to be damaged, the conversion formula is:
wherein the content of the first and second substances,
the number of meta-objects decomposed for the object,
in order to meet the requirement of the damage proportion,
in order to get the whole upwards,
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
And is and
make a comparison if
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 M times, and counting the target quilt in the simulation M timesNumber of times of injury
Then the damage probability of the target is:
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