RU2677386C1 - Information processing method on the effective strategy selection in the different formations combat actions - Google Patents

Abstract

FIELD: computer equipment.SUBSTANCE: invention relates to the field of digital computing systems for processing of the input information about the opposing sides combat means characteristics. In the method, supplementing the own combat assets and each of the enemy formations assets indicators values initial data with information about the possibility of the neighboring warfare means hitting with the opposing sides warfare means, calculating each enemy formation firing intensities flows relative contributions and implementing the first stage of simultaneous combat with enemy formations simulation with the own impact flow distribution in proportion to the relative contributions of each of the enemy formation firing intensity flows until the time comes, at which by each enemy formation combat superiority coefficients values become equal, and performing the simulation second stage until the enemy formations combat assets remnants simultaneous destruction with the remaining combat assets and opposing sides combat assets fixation.EFFECT: technical result is provision of the simultaneous combat with heterogeneous enemy formations two-stage simulation, taking into account of the possibility of neighboring combat assets hitting.1 cl, 3 tbl, 3 dwg

Description

The invention relates to digital computing, and in particular to digital computing systems for processing input information about the characteristics of combat assets (BSR) of the warring parties, its transformation, choosing an effective strategy, evaluating the results of combat confrontation (victory, defeat, parity), with the determination of its losses and damage to the enemy in the presence and absence of intelligence about the coordinates of the military assets of the warring factions, can be used by the command staff of the Armed Forces in the process of training and retraining, conducting command and staff exercises and directly for planning combat operations (DB) of diverse groups. A known method [1-5], which reveals the dynamics of the battle and allows you to name the future winner. However, there is no known method of conducting a battle against heterogeneous groups with an assessment of its effectiveness. In the cited sources [1-5], firstly, the battle against a party consisting of heterogeneous groups is not considered. Secondly, the price of the victory achieved is not estimated; there is no quantitative assessment of causing maximum damage to the enemy or in case of defeat from him. The third drawback is the existing shift in emphasis towards the ratio of the number of BSSs of the parties compared to the intensities of fire destruction of military assets, without taking into account the heterogeneity of the groups and the way of choosing effective strategies to destroy the groups.

The technical result consists in the implementation of a two-stage simulation of simultaneous combat with heterogeneous enemy groupings, taking into account the possibility of destruction of neighboring military equipment, which allows to increase the efficiency of destruction of enemy military equipment.

Previously [6–11], the authors considered conducting group combat taking into account two heterogeneities in terms of the intensity of fire destruction and providing intelligence for groups of warring parties that influence the choice of rational strategies.

The proposed method, in contrast to the known methods, is carried out by taking into account the simultaneous battle with the enemy’s heterogeneous enemy groupings in two-stage modeling, taking into account the destruction of neighboring BSRs when destroying the target, depending on the ammunition power and the concentration of the battle formation of the fired BSR.

Almost all approaches lead to the additional preservation of their BSS based on the results of GB by party A, based on the choice of a rational strategy. In the event that the choice of a rational strategy does not give an acceptable result, it is necessary to develop a new strategy.

According to the invention, this problem is solved by the method in which the source data of the values of the indicators of military means of each of the groups of warring parties are recorded in a memory unit, characterized in that the initial data is supplemented with information about the possibility of defeat by the military means of the opposing sides of the neighboring military means, and the relative contributions are calculated streams of fire intensities of each enemy grouping and carry out the first stage of simulating a simultaneous battle with enemy groupings with p spredeleniem flow of the influence proportionally relative contribution of flow intensities fire each enemy force before the time at which the value of combat superiority for each enemy force coefficients become equal, and carry out the second stage simulation simultaneous destruction of residues of combat means enemy forces latching remaining combat means opposing sides.

Let the initial data of side A and groupings of side B are presented in table. one.

In the table. 1 are given: Art. 1 - the number of BSR groups of the warring parties; Art. 2 - the intensity of the striking shots μ ₁ , μ ₂ side A and the intensity of the striking shots λ ₁ , λ ₂ groups B ₁ ,

In ₂ ; Art. 3 - data on the additional defeat of d ₀₁ , d _{02 by} side A of military equipment of groups B ₁ and B ₂ , and d ₁ , d ₂ - for side B. To assess the effect of two heterogeneities on the results of GB in table. 1, the equality of intensities among the groups of the warring parties is accepted.

Values of KBP depending on the time t of the battle for the 1st stage 0≤t≤t ^{* are} written in the form:

In Art. 4 tab. Figure 1 shows the initial values of combat superiority coefficients k ₁ (0) = 2.4375 and k ₂ (0) = 3.5 at t = 0, which shows that side A has the greatest combat superiority over group B ₂ compared to group B ₁ .

The choice of the sequence of conducting a group battle (GB) from a mathematical point of view is equivalent to the justification of the battle strategy. In the literature [1-11] the following GB strategies are considered:

одноэтапного группового боя (ОГБ), когда сторона А частью r₁M своих боевых средств ведет бой с группировкой В₁, а оставшейся частью (1-r₁)М БСр - с группировкой В₂. Бой ведется до полного и одновременного уничтожения обеих группировок.• Strategy

group battle stage (OGB) when the side part A r ₁ M their means of combat is fighting with the group V _1, and the remaining portion (1-r ₁₎ M IWU - a group B _2. The battle continues until the complete and simultaneous destruction of both groups.

• Strategy S ₁₂ {A; B ₁ B ₂ } or S ₂₁ {A; B ₂ , B ₁ } of a two-stage group battle (DGB), in which side A at the 1st stage selects one of the groups (B ₁ or B ₂ ) and fights by all means until it is completely destroyed, at the second stage it destroys another group (B ₂ or B ₁ ). We note such a detail that the enemy’s grouping, according to which at the first stage side A does not fire, still defeats the military equipment of side A.

By a rational strategy we mean a strategy, the choice of which leads to the maximum preservation of the BSR.

The dynamics of a one-stage GB in the absence of information about the coordinates of the BSR is described by differential equations (1.1) - (1.5), in which

(1.1) - change in the remnants of the BSR side A at time t;

(1.2) - change in the remnants of the Bsr grouping B ₁ at time t;

(1.3) - change in the remnants of the Bsr of grouping B ₂ at time t;

(1.4) - initial conditions for maintaining GB at t = 0;

(1.5) - the current values of the BSR when maintaining the GB at time t;

- интенсивности (μ_i) поражающих выстрелов БСр стороны А по БСр группировки B_i и интенсивности (λ_i) группировки B_i по БСр стороны А;μ _i , λ _i

- the intensity (μ _i ) of the striking shots of the Bsr of the side A by the Bsr of the group B _i and the intensity (λ _i ) of the grouping B _i of the Bsr of side A;

m (t) / M, n ₁ (t) / N ₁ , n ₂ (t) / N ₂ - relations characterizing the lack of intelligence for side B and side A for groups B ₁ , B ₂ ;

t _∞ is the end time of the database;

r ₁ , (0≤r ₁ ≤1) is a relative value characterizing the number of Bsr allocated by party A to destroy group B ₁ ;

(1-r ₁ ) is the relative value characterizing the number of BSR allocated by party A to destroy the BSR of group B ₂ .

For the 1st stage, the calculation of the relative fluxes of fire intensities r ₁ and r ₂ (see formulas (1.2), (1.3)) for two groups B ₁ and B ₂ is determined by the formulas:

The solution of the system of differential equations (1.1) - (1.3) for time t is conveniently obtained using the Mathematica software package for various initial data.

In the table. 2 arguments affecting the results of GB are:

• strategies: S ₀ , S ₁₂ and S ₂₁ (Art. 1);

• the presence (+) and absence (-) of intelligence among the groups of parties A (art. 2) and B (art. 3).

According to the results of Art. 4, tab. 2, column 5 shows the classification of the strategies used by party A:

rational (+),

irrational (-),

losing (-, -).

Let us analyze the influence of the choice of strategies used by party A under various scenarios of providing intelligence for the groupings of parties A and B on the results of the GB given in Art. 4, tab. 2 obtained by solving the system of differential equations (1.1) - (1.3) under the initial conditions (1.4).

Analysis of column 4, table. 2 allows you to draw the following conclusions:

сценарий 1 (строки 1-4): наличие разведки у сторон создает стороне А возможность победить неприятеля при любой стратегии. Однако выбор нерациональных стратегий S₂₁ (стр. 2) и S₀ (стр. 3) по сравнению с выбором рациональной стратегии S₁₂ (стр. 4) приводит к незначительному сокращению остатков своих БСр, порядка 13%, (стр. 2,) и 6.4% (стр. 3,).

Scenario 1 (lines 1-4): the presence of intelligence by the parties creates a possibility for side A to defeat the enemy with any strategy. However, the choice of irrational strategies S ₂₁ (p. 2) and S ₀ (p. 3) compared with the choice of a rational strategy S ₁₂ (p. 4) leads to an insignificant reduction in the balances of their BSS, about 13% (p. 2,) and 6.4% (p. 3,).

сценарий 2 (стр. 5-8, табл. 2,): наличие разведки только у стороны А⁺ создает ей возможность победить неприятеля при любой стратегии. Выбор нерациональных стратегий S₂₁ (стр. 6) и S₀ (стр. 7) по сравнению с выбором рациональной стратегии S₁₂ (стр. 8) приводит к еще меньшему сокращению остатков своих БСр, порядка на 10% (стр. 6, стратегия S₂₁) и 4% (стр. 7, стратегия S₀).

Scenario 2 (p. 5-8, tab. 2,): the presence of intelligence only on the A ⁺ side creates an opportunity for it to defeat the enemy with any strategy. The choice of irrational strategies S ₂₁ (p. 6) and S ₀ (p. 7) compared with the choice of a rational strategy S ₁₂ (p. 8) leads to even smaller reduction in the balances of their BSS, by about 10% (p. 6, strategy S ₂₁ ) and 4% (p. 7, strategy S ₀ ).

сценарий 3 (стр. 9-12, табл. 2): при обоюдном отсутствии разведки у сторон А и В, во-первых, меняется рациональная стратегия: вместо S₁₂ (как было при сценариях 1, 2), ею становится стратегия S₀ (стр. 12); во-вторых, выбор нерациональной стратегии S₂₁ (стр. 10), приводит к поражению стороны A: M_∞(S₂₁, А^-,В^-)=0, В: N_∞(S₂₁, А^-,В^-)=23; в-третьих, резко уменьшаются на 64.5% остатки своих БСр при стратегии S₁₂ (стр. 11) по сравнению с рациональной стратегией S₀ (стр. 12).

Scenario 3 (p. 9-12, Table 2): with the mutual absence of intelligence between parties A and B, firstly, the rational strategy changes: instead of S ₁₂ (as was the case with scenarios 1, 2), it becomes the strategy S ₀ (p. 12); secondly, the choice of an irrational strategy S ₂₁ (p. 10) leads to the defeat of the side A: M _∞ (S ₂₁ , A ^- , B ^- ) = 0, B: N _∞ (S ₂₁ , A ^- , B ^- ) = 23; thirdly, the residuals of their BSS with the S ₁₂ strategy (p. 11) are sharply reduced by 64.5% compared with the rational S ₀ strategy (p. 12).

сценарий 4 (стр. 13-16, табл. 2): отсутствие разведки у стороны А и наличие ее у стороны В ведет к поражению стороны А при выборе ей любой стратегии: S₂₁ (стр. 14), S₁₂ (стр. 15) и S₀ (стр. 16).

Scenario 4 (p. 13-16, tab. 2): lack of intelligence on side A and its presence on side B leads to defeat of side A when choosing any strategy for it: S ₂₁ (p. 14), S ₁₂ (p. 15 ) and S ₀ (p. 16).

An analysis of the results of the strategies used, which are given in scenarios 3 and, especially 4, shows the loss of side A, which necessitates measures to find additional opportunities, in particular, to develop a new strategy that will be more effective than the already known S ₀ , S ₁₂ and S ₂₁ , especially in scenarios 4 and 3.

The two-stage GB strategy proposed by the authors should lead, firstly, to a greater destruction of the number of enemy BSS, and secondly, to an increase in the number of saved BSS compared to the strategies already considered in [6–11] (S ₀ , S _12, and S ₂₁ )

The essence of the new two-stage strategy S ₀₀ with a higher level of combat effectiveness lies in the fact that at the 1st stage, party A fights with groups B ₁ and B ₂ not until they are completely destroyed, but before the equalization of combat superiority ratios (KBP) with respect to to groups B ₁ and B ₂ side B

with fixing the alignment time t ^* , (see Fig. 1, 2). The initial values of the KBP are shown in Art. 4, tab. 1: k ₁ (0) = 2.4375 and k ₂ (0) = 3.5 at t = 0. The first stage of GB is completed when the KBP equality k ₁ (t) = k ₂ (t) = k (t ^* ), shown in FIG. 2, at t = t ^* . It can be seen from the graph that k ₁ (t) represents an increasing function, which, when another function of the KBP crosses, k ₂ (t) at t = t ^* becomes equal to it. Therefore, to determine t ^*, we can use the situation when, for t <t ^* , the inequality k ₁ (t) <k ₂ (t) is observed, and for t> t ^* , it is inverted k ₁ (t)> k ₂ (t) . By changing the value of t in the range Δt: t ^* ± Δt, we can achieve the equality k ₁ (t) = k ₂ (t) = k (t ^* ), at which the first stage of the battle is completed using the strategy S ₀ . The second stage of GB begins at time t ^* and is aimed at the complete and simultaneous destruction of enemy groups B ₁ and B ₂ using the S ₀ strategy, but with the initial data: M, N ₁ , N ₂ , k ₁ , k ₂ obtained at t = t ^* .

Since when considering the table. 2 the worst option for side A was observed in scenario 4, when it loses for any strategy, it is advisable to consider in more detail the application of the new strategy S ₀₀ in relation to scenario 4: Intelligence from side A about the coordinates of the Bp of groups B ₁ , B ₂ - no, side B has it.

The solution of equations (1.1) - (1.5) for the 1st stage was carried out with the initial data: M = 65; μ ₁ = 0.13; μ ₂ = 0.13; N ₁ = 30; λ ₁ = 0.13; N ₂ = 20; λ ₂ = 0.13; d ₀₁ = 0.8; d ₀₂ = 0.4; d ₁ = 0.6; d ₂ = 0.3; r ₁ = 0.649 according to the strategy S ₀ using the software Mathematica.

The end of the 1st stage occurs at t = t ^* (see Fig. 1, Fig. 2) with the values: m (t ^* ) = 41.33; n ₁ (t ^* ) = 11.25; n ₂ (t ^* ) = 10.77, k ₁ (t ^* ) = k ₂ (t ^* ) = 4.13 using the strategy S ₀ , which became the initial for the 2nd stage of GB.

The final result of solving equations (1.1) - (1.5) according to scenario 4 is shown in FIG. 1-3 with values of M _∞ = 29; N _∞ = 0.

In the table. Figure 3 shows the results of the battle when using the new 2-stage strategy S ₀₀ for all scenarios 1-4 (lines: 20, 15, 9, 5).

From the table. Figure 3 shows the advantages of the new S ₀₀ strategy, especially for scenarios 4, 3 (p. 20, 15), of which its superiority is noticeable in relation to the well-known strategies S ₀ , S _12, and S ₂₁ .

So, the proposed method allows to obtain the claimed technical result of increasing the level of combat effectiveness (effectiveness) of group combat.

The authors' solution of various examples for groups with different initial data revealed the possibility of:

- manage the outcome of the battle without resorting to the development of new BSS, which is expensive and long-term, and not using their quantitative buildup, which is not always possible and not always operational;

- to simulate a different type of heterogeneity with the ability to choose a developed strategy that allows you to achieve the highest levels of combat effectiveness in the shortest possible time.

It is possible to implement the proposed method, at the first stage, using a computer for military-industrial control systems, at the second, in the form of a programmed device.

Used sources

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Claims (1)

The method of two-stage simulation of simultaneous combat with heterogeneous enemy groupings, taking into account the possibility of destruction of neighboring military assets, which consists in the fact that the initial data of the values of the combat weapon indicators of each of the warring parties are recorded in a memory unit, characterized in that the initial data is supplemented with information about the possibility of military defeat by means of the opposing sides of the neighboring military assets, calculate the relative contributions of the flow of fire intensities of each group of prot Vnik and carry out the first stage of simulating a simultaneous battle with enemy groupings with a distribution of the flow of their influence in proportion to the relative contributions of the flow of fire intensities of each enemy group until the time comes when the values of combat superiority coefficients for each enemy group become equal, and carry out the second stage of modeling the simultaneous destruction of residues combat assets of enemy groups with fixation of the remaining combat assets parties involved.

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