RU2699579C1 - Device for simultaneous combat with heterogeneous enemy groupings two-stage simulation - Google Patents

Abstract

FIELD: computer engineering.

SUBSTANCE: invention relates to digital computer engineering. Device, according to which initial data values of combat means of fighting groupings and the step of performing operations are recorded in a first memory unit, characterized in that it includes an arithmetic unit, a second memory unit, "First stage" unit, "Second stage" unit, output results memory unit, visualization unit, unit for selection of exploration incompleteness and control unit, control outputs of which are connected to all control inputs of the switch, four units included in the first memory unit, arithmetic unit, four units included in the second memory unit, five units included in the "First stage" unit, two units included in the "Second stage" unit, the output results memory unit, the visualization unit, the incompleteness selection unit, which are interconnected by information links.

EFFECT: wider range of equipment.

1 cl, 3 tbl, 4 dwg

Description

The invention relates to digital computing, in particular to digital computing systems for processing input information about the characteristics of the warring forces of the warring parties, its transformation, choosing a rational strategy, evaluating the results of combat confrontation (victory, defeat, parity), determining your losses and damage to the enemy subject to the presence or absence of reconnaissance on the coordinates of the combat assets of the warring factions and can be used by the command staff of the Armed Forces sludge in the process of learning and relearning of the command and staff exercises, and directly to the planning groups fight.

There is a known approach [1-5] that describes the dynamics of a two-sided battle and allows to name the future winner before it.

The authors developed devices, the descriptions of which are given in patents [6, 7], allowing to obtain the results of alternate battles and simultaneous combat with several heterogeneous groups in order to find the best sequence for their destruction. In these devices is not the moment of equality of the coefficients of combat superiority in the conduct of simultaneous combat. The filed application for the invention is aimed at solving this problem.

The technical result is the expansion of the arsenal of digital computing tools for this purpose - two-stage modeling of simultaneous combat with heterogeneous groups.

According to the invention, this problem is solved due to the device, according to which the initial data of the values of the indicators of combat assets of the warring factions and the step of the operation are recorded in the first memory block, characterized in that the arithmetic block, the second memory block, the block "First stage", block are entered The "second stage", an output results memory block, a visualization block, a reconnaissance incompleteness selection block (BVNR), and a control unit whose control outputs are connected to all control inputs: a switch, four blocks included in the first memory block, arithmetic block, four blocks included in the second memory block, five blocks included in the “First stage” block, two blocks included in the “Second stage” block, memory block of the output results, visualization block, selection block incomplete intelligence, which are interconnected by information links:

one information output BVNR is connected to three information inputs of the first memory block;

from five information outputs of the switch:

four are connected to four information inputs of the first memory block;

one is connected to one information input of the memory block, which is part of the block "Second stage";

four information outputs of the first memory block are connected to four information inputs of the arithmetic block;

four information outputs of the arithmetic block are connected to four information inputs of the second memory block;

four information outputs of the second memory block are connected to four information inputs of the arithmetic block;

of the fifteen information outputs of the second memory block:

eight are connected to eight information inputs of the “First Stage” block;

three are connected to three information inputs of the block "Second stage";

four are connected to four information inputs of the output result memory block;

of the three information outputs of the block "First stage":

two are connected to two information inputs of the second memory block;

one is connected to the information input of the control unit;

inside the block "First stage":

the information output of the combat superiority coefficient unit of group A over group B _{1 is} connected to the first information input of the comparison unit;

the information output of the combat superiority coefficient unit of group A over group B _{2 is} connected to the second information input of the comparison unit;

the information output of the block "Second stage" is connected to the information input of the control unit;

inside the “Second stage” block, the information output of the memory block for storing the value of determining the end of the battle is connected to the information input of the comparison block;

one information output of the output results memory unit is connected to one information input of the visualization unit.

The effect of the application of the new sequence of destruction is demonstrated by example.

Let the initial data of group A and the opposing groups B ₁ and B _{2 are} presented in table. 1 (Art. 2-7), where the initial combat superiority factors are determined by the formula

where i = 1,2.

Known devices that allow you to calculate the results of the following strategies of group combat (GB):

одноэтапного группового боя (ОГБ), когда группировка А частью r₁M своих боевых средств ведет бой с группировкой В₁, а оставшейся частью (1-r₁)М БСр - с группировкой В₂. Бой заканчивается при условии одновременного уничтожения группировок B₁ и В₂.strategy

one-stage group combat (OGB), when group A with part r ₁ M of their military equipment fights with group B ₁ , and the remaining part (1-r ₁ ) M BSr - with group B ₂ . The battle ends subject to the simultaneous destruction of groups B ₁ and B ₂ .

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 group A sends all military equipment (BSR) at the 1st stage to group B ₁ (or B ₂ ) before its destruction, subject to a simultaneous clash with groups B ₁ and B ₂ , at the second stage, it destroys the remaining group B ₂ (or B ₁ ).

By the rational strategy of group A we understand the strategy that leads to the greatest preservation of their BSS during the destruction of groups B ₁ and B ₂ .

The dynamics of the battle, taking into account the presence and absence of information on the coordinates of the BSR among the groups, is described by a system of differential equations

under the initial conditions m (0) = M, n ₁ (0) = N ₁ ; n ₂ (0) = N ₂ , where

m (t) is the change in the BSR group A;

n ₁ (t) - change in the Bsr grouping In ₁ ;

n ₂ (t) - change in the Bsr grouping In ₂ ;

μ _i , λ _i (i = 1,2) are the intensities of the striking shots of the BSp of group A (μ _i ) by group B _i and group B _i (λ _i ) by group A;

t _∞ - time of the end of the battle;

r ₁ , (0≤r ₁ ≤1) is a relative value proportional to the number of BSr r ₁ ⋅m (t) allocated by group A to destroy group B ₁ ;

(1-r ₁ ) is a relative value proportional to the number of BSr (1-r ₁ ) * m (t) allocated by group A to destroy group B ₂ ;

m (t) / M is the ratio, taking into account the absence of reconnaissance in group A on the coordinates of the BSp of groups B ₁ and B ₂ (in the presence of intelligence, the ratio is 1);

n ₁ (i) / N ₁ - the ratio, taking into account the absence of group B ₁ intelligence about the coordinates of the BSR group A (in the presence of intelligence, the ratio is 1);

n ₂ (t) / N ₂ is a ratio that takes into account the absence _of reconnaissance of group B ₂ on the coordinates of the base group of group B (if there is intelligence, the ratio is 1).

Solution of the system of differential equations (1) using the Runge-Kutta method [8] for some step h and the notation

written as

for group A

for grouping B ₁

for grouping In ₂

We will demonstrate the results of the battle obtained by group A when solving the system of differential equations (1) depending on the chosen strategy and scenarios for providing intelligence to the opposing groups, summarized in table. 2 (Art. 4, p. 1-12).

The output of the battle is the remnants of the BSr M _K = m (t _∞ ) for group A and N _K = n ₁ (t _∞ ) + n ₂ (t _∞ ) for groups B ₁ and B ₂ after the battle is completed, are shown in table 2, (4th column).

Current changes in the BSR of the opposing groups are shown in the graphs, FIG. 2, 3 and 4.

The arguments affecting the results of the battle are:

strategies: S ₀ , S ₁₂ and S ₂₁ ;

the presence (+) and absence (-) of the groups of the warring parties of intelligence on the coordinates of the BSR.

The results of the battle (Art. 4, Table 2) using the strategies S ₀ , S ₁₂ and S ₂₁ with different provision of intelligence to the parties (Art. 2 and 3, Table 2) show that

Scenario 1: Group A wins when choosing any strategy with the same result M _K (S ₂₁ ) = M _K (S ₁₂ ) = M _K (S ₀ ) = 42;

Scenario 2: Group A wins in all three strategies: the strategy S ₀ (p. 6, Table 2) is rational and, compared with the worst-case strategy S ₂₁ (p. 4, Table 2), it allows you to save the group A by 9 5% more;

Scenarios 3 and 4: Group A wins only when one strategy is selected (p. 9, table 2), loses in the rest (p. 7, 8, 10-12, table 2).

An analysis of the results of the choice of strategies in various scenarios shows that the application of these strategies in scenarios 3 and 4 does not lead to victory in most cases, which means that it requires finding new options for consistent combat and a device for its calculation.

The device proposed by the authors for calculating a new sequence (strategy S ₀₀ ) leads not only to the destruction of the Bsr of the groups B ₁ and B ₂ , but also to an increase in the number of saved Bsr of the group A as compared to the considered strategies in case of simultaneous and simultaneous destruction.

The essence of the calculation of the new group destruction sequence (strategy S ₀₀ ) is that at the first stage, group A fights simultaneously with both groups B ₁ and B ₂ until the combat superiority coefficients are equalized (KBP)

Values of KBP depending on the time t of the battle are calculated by the formulas:

In FIG. 2 and 3 it is shown that the function k ₁ (t) intersects with the function k ₂ (t) at the point t = t ^* equality of KBP (2) occurs. Scenario 4, the worst for group A, is taken as an example. The results obtained are summarized in a system

From the moment of time t ^* = 3.13, we carry out the 2nd stage of the strategy S _{00 of} delivering fire with a distribution of the coefficient of fire destruction r ₁ (t ^* ) = 0.5, because n ₁ (t ^* ) = n ₂ (t ^* ) = 14 (see formula (4), Figs. 2 and 3),

Note that in the first stage, the coefficient was r ₁ (0) = 0.74. When choosing the strategy S _{00, the} battle according to scenario 4 ends with the victory of side A. The number of surviving BSRs is M _k (S ₀₀ ) = 21 (p. 4, table 3).

In the table. Figure 3 shows the results of the battle when using the S ₀₀ strategy for all scenarios 1-4 (p. 1-4). In scenario 3, superiority is observed over the best result obtained when choosing strategies S ₀ , S ₁₂ , S ₂₁ , and in scenario 4, group A achieves victory over groups B ₁ and B ₂ in contrast to the defeats obtained when choosing strategies S ₀ , S ₁₂ , S ₂₁ .

The drawing of a "Two-stage simulation of simultaneous combat with heterogeneous enemy groupings" is shown in FIG. one.

8 - блок памяти для хранения текущих значений группировки А,

9 - блок памяти для хранения текущих значений группировки В₂,

10 - блок памяти для хранения текущих значений t, БП_t), блок «Первый этап» (состоящий из блоков: 11 - блок вычисления коэффициента боевого превосходства группировки А над группировкой В₁;

12 - блок вычисления коэффициента боевого превосходства группировки А над группировкой В₂,

13 - блок сравнения значений коэффициента боевого превосходства группировки А над группировкой В₁ с коэффициентом боевого превосходства группировки А над группировкой В₂; 14 - блок вычисления коэффициента r₁ распределения боевых средств группировки А, выделенных на группировку В₁; БВКr₁; 15 - блок вычисления коэффициента r₂ распределения боевых средств группировки А, выделенных на группировку В₂, БВКr₂), блок «Второй этап» (состоящий из блоков: 16 - блок сравнения текущих значений БСр группировок A, B₁ и В₂ со значением определяющим окончание боя и 17 - блок памяти для хранения значения определяющего окончание боя, БП₅), блок памяти выходных результатов (18), блок визуализации (19), блок выбора неполноты разведки (20) и блок управления (21), соединенного через управляющие выходы со всеми управляющими входами коммутатора (1), четырьмя блоками (2, 3, 4 и 5), входящими в первый блок памяти, арифметического блока (6), четырьмя блоками (7, 8, 9 и 10), входящими во второй блок памяти, пятью блоками (11, 12, 13, 14 и 15), входящими в блок «Первый этап», двумя блоками (16 и 17), входящими в блок «Второй этап», блока памяти выходных результатов (18), блока визуализации (19), блока выбора неполноты разведки (20), которые между собою соединены информационными связями:A device consisting of a switch 1 connected by its four outputs to four inputs of the first memory block (consisting of blocks: 2 - a memory block for storing characteristics and information support of grouping ₁ , PSU ₁ ; 3 - a memory block for storing characteristics of grouping A, PSU ₂ ; 4 - a memory block for storing the characteristics of grouping B ₂ , BP ₃ ; 5 - a memory block for storing a given step, BP ₄ ), characterized in that an arithmetic block (6), a second memory block (consisting of blocks: 7 - memory block for storing current values cheny groups B _1,

8 - a memory unit for storing the current values of grouping A,

9 - a memory unit for storing the current values of the grouping In ₂ ,

10 - a memory block for storing current values of t, PSU _t ), the “First stage” block (consisting of blocks: 11 - a unit for calculating the combat superiority coefficient of group A over group B ₁ ;

12 is a unit for calculating the combat superiority coefficient of group A over group B ₂ ,

13 is a block comparing the values of the combat superiority coefficient of group A over group B ₁ with the coefficient of combat superiority of group A over group B ₂ ; 14 - unit for calculating the coefficient r ₁ distribution of military assets of group A allocated to group B ₁ ; BVKr ₁ ; 15 - unit for calculating the coefficient r _{2 of the} distribution of military equipment of group A allocated to group B ₂ , BVKr ₂ ), the block "Second stage" (consisting of blocks: 16 - unit for comparing the current values of the BSR of groups A, B ₁ and B ₂ with the value determining the end of the battle and 17 - a memory block for storing the value of determining the end of the battle, BP ₅ ), a memory block of output results (18), a visualization block (19), an intelligence incompleteness selection block (20) and a control unit (21) connected via control outputs with all control inputs of the switch (1), four block ami (2, 3, 4 and 5) included in the first block of memory, arithmetic block (6), four blocks (7, 8, 9 and 10) included in the second block of memory, five blocks (11, 12, 13, 14 and 15) included in the First Stage block, two blocks (16 and 17) included in the Second Stage block, the output results memory block (18), the visualization block (19), the intelligence incompleteness selection block (20) , which are interconnected by information links:

one BVNR information output is connected to three information inputs of the first memory block (20-2, 20-3, 20-4);

from five information outputs of the switch:

four are connected to four information inputs of the first memory block (1-2, 1-3, 1-4, 1-5);

one is connected to one information input of the memory block, which is part of the block "Second stage" (1-17);

four information outputs of the first memory block are connected to four information inputs of the arithmetic block (2-6, 3-6, 4-6, 5-6);

four information outputs of the arithmetic block are connected to four information inputs of the second memory block (6-7, 6-8, 6-9, 6-10);

four information outputs of the second memory block are connected to four information inputs of the arithmetic block (7-6, 8-6, 9-6, 10-6);

of the fifteen information outputs of the second memory block:

eight are connected to eight information inputs of the “First Stage” block (7-11, 7-14, 8-11, 8-12, 8-14, 8-15, 9-12, 9-15);

three are connected to three information inputs of the block "Second stage" (7-16, 8-16, 9-16);

four are connected to four information inputs of the output result memory block (7-18, 8-18, 9-18, 10-18);

of the three information outputs of the block "First stage":

two are connected to two information inputs of the second memory block (14-8, 15-8);

one is connected to the information input of the control unit (13-21);

inside the block "First stage":

the information output of the combat superiority coefficient unit of group A over group B _{1 is} connected to the first information input of the comparison unit (11-13);

the information output of the combat superiority coefficient unit of group A over group B _{2 is} connected to the second information input of the comparison unit (12-13);

the information output of the block "Second stage" is connected to the information input of the control unit (16-21);

inside the “Second stage” block, the information output of the memory block for storing the value of determining the end of the battle is connected to the information input of the comparison block (17-16);

one information output of the output results memory unit is connected to one information input of the visualization unit (18-19).

The device allows you to determine the remainder of the Bsr of groups A, B ₁ and B ₂ for the battle of group A simultaneously with two groups B ₁ and B ₂ , taking into account the comparison of distribution coefficients in the presence or absence of information support for warring groups.

By the control signal from the control unit (21):

Preparatory stage

1) the initial values of the indicators of the Bsr of groups A, B ₁ and B ₂ , similar to those shown in table 1, as well as the data on step h and the value of determining the end of the battle ν are fed to the inputs of switch 1 and fed to four informative inputs of the first memory block (2, 3, 4, 5) and the informative input of the “Second stage” block (17);

2) information is transmitted on channels 20-2, 20-3 and 20-4;

3) the received information is recorded in the memory blocks 2, 3, 4, 5, and 17;

Stage 1

4) information is transmitted on channels 2-6, 3-6, 4-6 and 5-6;

5) in block 6, the current values of the number of BSp groups A, B ₁ and B ₂ and the parameter t, taking into account the number of steps h (formula 1a, 1b, 1c and 1d), are calculated;

6) information is transmitted on channels 6-7, 6-8, 6-9 and 6-10;

7) the received information is recorded in the memory blocks 7, 8, 9 and 10;

8) information is transmitted on channels 7-11, 8-11, 8-12, 9-12;

9) in blocks 11 and 12, the current values of the combat superiority coefficients of group A over group B ₁ and group A over group B ₂ are calculated (formula 3);

10) information is transmitted on channels 11-13, 12-13;

11) in block 13, the current values of the combat superiority coefficients of group A over group B ₁ and group A over group B _{2 are} compared;

12) information is transmitted on channel 13-21;

in case of inequality:

13) information is transmitted on channels 7-6, 8-6, 9-6, 10-6;

14) go to paragraph 5);

in case of equality:

15) information is transmitted on channels 7-14, 8-14, 8-15, 9-15;

16) the coefficients r ₁ and r ₂ are calculated in blocks 14 and 15 (formula 5);

17) information is transmitted on channels 14-8, 15-8;

18) the specified coefficients r ₁ and r _{2 are} recorded in block 8;

Stage 2:

19) information is transmitted on channels 7-6, 8-6, 9-6, 10-6;

20) in block 6, the current values of the number of BSp groups A, B ₁ and B ₂ and the parameter t, taking into account the number of steps h (formula 1a, 1b, 1c and 1d), are calculated;

21) information is transmitted on channels 6-7, 6-8, 6-9, 6-10;

22) the received information is recorded in the memory blocks 7, 8, 9 and 10;

23) information is transmitted on channels 7-16, 8-16, 9-16.17-16;

24) in block 16, the current values of the number of Bsr of groups A (7), B ₁ (8) and B ₂ (9) are compared with the value of determining the end of the battle (17);

25) information is transmitted on channel 16-21;

in case of inequality:

26) go to paragraph 19);

in case of equality:

27) information is transmitted on channels 7-18, 8-18, 9-18, 10-18;

28) the received information is recorded in the memory unit 18;

29) information is transmitted on channel 18-19;

30) the results are displayed in block 19.

The output of the result is the output of the entire device.

The device proposed by the authors leads not only to the defeat of the two groups, but also to an increase in the number of surviving BSS compared with the calculations of devices for alternate and simultaneous destruction strategies.

So, the proposed device allows you to get the claimed technical result of a two-stage simulation of simultaneous combat with heterogeneous groups.

The decision by the authors of examples for groups with different initial data revealed:

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

- the need to model various types of heterogeneity, their competent accounting with the ability to choose a developed strategy allows you to achieve the highest levels of combat effectiveness in the shortest possible time.

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

Used sources

1. Ventzel E.S. Introduction to operations research. - M .: Owls. Radio, 1964, 391 p.

2. Abchuk V.A., Matveychuk F.A., Tomashevsky L.P. Equations of battle dynamics / Handbook of Operations Research. - M .: Military publishing house of the Ministry of Defense of the USSR, 1979, p. 322-325.

3. Ivanov P.I. et al. Fundamentals and application of applied mathematics methods in military affairs. - Monino: VVA them. Yu.A. Gagarina, 1991.S. 186-224.

4. Ivanilov V.Yu., Ogaryshev V.F., Pavlovsky Yu.N., Conflict imitation. - M: Computing Center of the Russian Academy of Sciences, 1993, 196 p.

5. Zhirov A.Yu. Military applied mathematics. The probabilistic basis for evaluating the effectiveness of combat and support actions of aviation. - Monino: VVA them. Yu.A. Gagarina, 2004.S. 80-118.

6. Chernoscutov A.I., Sitkevich A.V. et al. Method and device for choosing a rational strategy in the combat operations of groupings of parties with uniform military means. Patent No. 2 571613, G06F 17/00.

7. Chernoskutov A.I., Sprengel A.V., Sitkevich A.V. A method and apparatus for processing information used to select rational strategies in the fighting of diverse groups. Patent No. 2 602395 G06F, 17/00, 17/13, G06Q 10/06.

8. Demidovich B.P. and other Numerical methods of analysis, approximation of functions, differential and integral equations, 1967. S. 151-156.

Claims (21)

A device for two-stage simulation of simultaneous combat with heterogeneous enemy groupings, consisting of a switch connected by its four outputs to four inputs of the first memory block, consisting of blocks: a memory block for storing characteristics and information support of the B ₁ group; a memory unit for storing characteristics and information support of group A; a memory unit for storing characteristics and information support of grouping B ₂ ; a memory block for storing a predetermined calculation step, characterized in that an arithmetic block is introduced into it, a second memory block consisting of blocks: a memory block for storing the current values of grouping B ₁ ; a memory unit for storing the current values of grouping A; a memory unit for storing the current values of the grouping In ₂ ; a memory unit for storing current values of t, a “First stage” block, consisting of blocks: a unit for calculating the combat superiority coefficient of group A over group B ₁ ; a unit for calculating the combat superiority coefficient of group A over group B ₂ ; a unit for comparing the combat superiority coefficient of group A over group B ₁ with the coefficient of combat superiority of group A over group B ₂ ; a unit for calculating the distribution coefficient of combat assets of group A allocated to group B ₁ ; a unit for calculating the distribution coefficient of the military equipment of group A allocated to group B ₂ , a “Second stage” block, consisting of two blocks: a unit for comparing the current values of the BCP of groups A, B ₁ and B ₂ with a value determining the end of the battle, and a memory block for storing the value that determines the end of the battle, the memory block of the output results, the visualization block, the intelligence incompleteness selection block, and the control block connected via control outputs to all the control inputs of the switch, four blocks included in the first block of pa memory, arithmetic block, four blocks included in the second memory block, five blocks included in the “First stage” block, two blocks included in the “Second stage” block, memory block of the output results, visualization block, intelligence incompleteness selection block, which interconnected by information links: one information output BVNR is connected to three information inputs of the first memory block; from five information outputs of the switch: four are connected to four information inputs of the first memory block; one is connected to one information input of the memory block, which is part of the block "Second stage"; four information outputs of the first memory block are connected to four information inputs of the arithmetic block; four information outputs of the arithmetic block are connected to four information inputs of the second memory block; four information outputs of the second memory block are connected to four information inputs of the arithmetic block; of the fifteen information outputs of the second memory block: eight are connected to eight information inputs of the “First Stage” block; three are connected to three information inputs of the block "Second stage"; four are connected to four information inputs of the output result memory block; of the three information outputs of the block "First stage": two are connected to two information inputs of the second memory block; one is connected to the information input of the control unit; inside the block "First stage": the information output of the combat superiority coefficient unit of group A over group B _{1 is} connected to the first information input of the comparison unit; the information output of the combat superiority coefficient unit of group A over group B _{2 is} connected to the second information input of the comparison unit; the information output of the block "Second stage" is connected to the information input of the control unit; inside the “Second stage” block, the information output of the memory block for storing the value of determining the end of the battle is connected to the information input of the comparison block; one information output of the output results memory unit is connected to one information input of the visualization unit.

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