Calculation Method for the Combat Effectiveness Index of Troops Oriented towards System-of-Systems Operations

Abstract

Aiming at the problem of accurately and quickly evaluating the combat effectiveness index of troops in system combat, the present invention discloses a method for calculating the combat effectiveness index of troops facing system combat. The calculation of the combat effectiveness index of troops is attributed to the calculation of the combat effectiveness index of main battle equipment. Taking the combat effectiveness of main battle equipment as an intermediary, the influence relationship of system combat on the combat effectiveness of troops can be indirectly established. By calculating the firepower strike ability of main battle equipment and the completion probability of various sub-tasks, a non-linear mapping relationship between the system combat ability and the combat effectiveness of main battle equipment is established, and the combat effectiveness index of troops facing system combat is obtained. Its steps include: calculating the firepower index of main battle equipment; calculating the completion probability of sub-tasks of main battle equipment; calculating the combat effectiveness index of main battle equipment; calculating the combat effectiveness index of troops. The present invention conforms to the natural laws of combat and can quantitatively explain the super-linear improvement effect of system combat on the combat effectiveness of troops.

Description

Technical Field

[0001] The present invention relates to the technical field of equipment simulation evaluation, and particularly relates to a method for calculating the combat effectiveness index of troops for system-of-systems combat. Background Art

[0002] The combat effectiveness of troops is the ability or capability of a task force to achieve its combat objectives under specific constraints. As an inherent ability of the troops, combat effectiveness generally does not change with the dynamic evolution of the specific combat process and combat situation. Instead, combat effectiveness is determined by relatively static elements such as the organizational structure, military training, and combat deployment of the troops. There are differences in the strength of combat effectiveness, and the measure of it is called the combat effectiveness index, which is an accurate representation of combat effectiveness in the real number space. With the help of this index, the quantitative calculation of the combat effectiveness of troops can be realized. Therefore, the accurate calculation of the combat effectiveness index has important application values in fields such as combat plan formulation, combat effectiveness structure optimization, and military theory research.

[0003] Currently, there are some classic methods for calculating the combat effectiveness index of troops, such as the Dupuy index, the Dunigan index, and the power index. These methods all adopt the reductionist idea and obtain the combat effectiveness index of the troops by linearly summing up the combat effectiveness indices of the various components of the troops. Although the existing methods are simple and intuitive, they do not reflect the complex nature of information warfare, especially ignoring the important impact of system-of-systems combat on combat effectiveness. Currently, the main combat mode of each military power is no longer the direct confrontation between individual weapons, but system-of-systems combat based on information technology, that is, the confrontation between systems. It uses advanced network information systems to closely integrate various combat elements together to form an organic whole with multiple elements collaborating and unified linkage, which can maximize the combat potential of the troops and achieve the effect of "1 + 1 > 2". How to accurately and quickly evaluate the combat effectiveness index of troops in system-of-systems combat is a problem that needs to be solved currently. Summary of the Invention

[0004] To solve the problem of accurately and quickly evaluating the combat effectiveness index of troops in system combat, the present invention discloses a method for calculating the combat effectiveness index of troops oriented to system combat. As a typical complex giant system, when calculating the combat effectiveness index of system combat, it is determined that a non-linear influence relationship of system combat on the combat effectiveness of troops must be established, so as to reflect the action mechanism of system combat as a combat effectiveness multiplier. Tracing the origin of combat effectiveness is the premise of combat effectiveness quantification. Although due to differences in military branches, equipment, tasks, etc., the combat effectiveness of troops may show various differences in form and connotation, it is all generated through the organic combination of weapons and equipment and military personnel. Therefore, combat effectiveness is rooted in two factors: equipment and personnel. Generally, equipment is divided into two categories: main battle equipment and support equipment. Main battle equipment, that is, the main combat equipment, can directly output firepower, be responsible for killing or damaging enemy personnel, equipment, positions and other high-value targets, play a major killing and destruction role, and is the most important carrier of combat effectiveness. Support equipment usually does not have lethality and is mainly responsible for providing support tasks such as reconnaissance, communication, command and control, and materials to the main battle equipment to ensure the firepower strike effectiveness of the main battle equipment. Therefore, the influence of equipment factors on combat effectiveness mainly comes from the main battle equipment. Specifically, the combat technology and performance indicators, combat use performance, environmental adaptability, system contribution degree, etc. of the equipment can be considered. Personnel factors mainly include combat spirit, work style and discipline, training level, cultural skills, physical fitness, etc. Although these factors have no direct killing effect, they can be materialized into the control ability of the equipment, and then indirectly affect the firepower strike effectiveness of the main battle equipment. However, personnel factors are too qualitative and abstract, and have strong randomness. Therefore, for the sake of simplicity, they are not considered, and personnel can be regarded as ideal people without ability shortboards. To sum up, it can be considered that the combat effectiveness of troops is essentially rooted in the combat effectiveness of the main battle equipment. Then, calculating the combat effectiveness index of troops can be attributed to calculating the combat effectiveness index of the main battle equipment. Subsequently, taking the combat effectiveness of the main battle equipment as a medium, the influence relationship of system combat on the combat effectiveness of troops can be indirectly established.

[0005] The present invention discloses a method for calculating the combat effectiveness index of troops oriented to system combat. By calculating the firepower strike ability of the main battle equipment and the completion probabilities of 5 types of sub-tasks such as protection, information, reconnaissance, mobility, and support, a non-linear mapping relationship of system combat ability on the combat effectiveness of the main battle equipment is established. Finally, the combat effectiveness indexes of each main battle equipment are fused to obtain the combat effectiveness index of troops oriented to system combat.

[0006] The present invention includes the following steps:

[0007] S1, calculate the firepower index of the main battle equipment;

[0008] S2, calculate the completion probabilities of the sub-tasks of the main battle equipment;

[0009] S3, calculate the combat effectiveness index of the main battle equipment;

[0010] S4. Calculate the combat effectiveness index of the troops.

[0011] The said step S1 includes calculating the fire strike ability of the main battle equipment. The strength of the fire strike ability of the main battle equipment is measured by the firepower index. For any main battle equipment Ω, there are N (≥1) weapon platforms on it. The maximum flight speed of the ammunition on the i-th weapon platform is v i , and the weight of the ammunition fired per second is b i , then the calculation formula for the firepower index D of the main battle equipment Ω is:

[0012]

[0013] Among them, N is the number of weapon platforms included in the main battle equipment Ω.

[0014] The said step S2 specifically includes:

[0015] S21. Calculate the completion probability of the first type of subtasks; calculate the completion probability of the main battle equipment independently performing the first type of subtasks in the combat process without considering the system operation. The completion probability of the first type of subtasks is determined by the protection ability of the main battle equipment. The protection ability provides the survival ability of the main battle equipment in the complex battlefield environment, and the protection ability is determined by the electromagnetic protection ability, the camouflage protection ability, the strike protection ability, the nuclear and chemical protection ability, etc. Through actual equipment drills or combat simulation means, calculate the completion probability α of the equipment Ω performing the first type of subtasks 1 , and its calculation formula is:

[0016]

[0017] Among them, K 1 is the total number of times of performing the first type of subtasks in the actual equipment drill or combat simulation, is the number of successful completions of the first type of subtasks. ε 1 is the prior completion probability of the first type of subtasks, and σ 1 is the adjustment factor of the first type of subtasks.

[0018] S22. Calculate the completion probability of the second type of subtasks; calculate the completion probability of the main battle equipment independently performing the second type of subtasks in the combat process without considering the system operation. The completion probability of the second type of subtasks is determined by the information ability of the main battle equipment. The information ability is used to provide the accurate and rapid response ability of the main battle equipment in the high-intensity combat environment, and it is determined by the situation awareness ability, the auxiliary decision-making ability, the information transmission ability, and the navigation and guidance ability. Through actual equipment drills or combat simulation means, calculate the completion probability α of the equipment Ω performing the second type of subtasks 2 , and its calculation formula is:

[0019]

[0020] Among them, K 2 is the total number of executions of the second - type subtasks in live - fire drills or combat simulations, and is the number of successfully completed second - type subtasks. ε 2 is the prior completion probability of the second - type subtasks, and σ 2 is the adjustment factor of the second - type subtasks.

[0021] S23. Calculate the completion probability of the third - type subtasks. Calculate the completion probability that the main combat equipment independently executes the third - type subtasks in the combat process without considering system - level combat. The completion probability of the third - type subtasks is determined by the reconnaissance ability of the main combat equipment. The reconnaissance ability is used to provide the ability of the main combat equipment to accurately detect and locate targets, and is determined by reconnaissance accuracy, distance, range, and persistence, etc. Through live - fire drills or combat simulation means, calculate the completion probability α 3 of equipment Ω executing the third - type subtasks. Its calculation formula is:

[0022]

[0023] Among them, K 3 is the total number of executions of the third - type subtasks in live - fire drills or combat simulations, and is the number of successfully completed third - type subtasks. ε 3 is the prior completion probability of the third - type subtasks, and σ 3 is the adjustment factor of the third - type subtasks.

[0024] S24. Calculate the completion probability of the fourth - type subtasks, including calculating the completion probability that the main combat equipment independently executes the fourth - type subtasks in the combat process without considering system - level combat. The completion probability of the fourth - type subtasks is determined by the mobility of the main combat equipment. The mobility provides the ability of the main combat equipment to timely and accurately enter the attack position, and is determined by the timeliness, accuracy, persistence, and flexibility of the mobility, etc. Through live - fire drills or combat simulation means, calculate the completion probability α 4 of equipment Ω executing the fourth - type subtasks. Its calculation formula is:

[0025]

[0026] Among them, K 4 is the total number of executions of the fourth - type subtasks in live - fire drills or combat simulations, and is the number of successfully completed fourth - type subtasks. ε 4 is the prior completion probability of the fourth - type subtasks, and σ 4 is the adjustment factor of the fourth - type subtasks.

[0027] S25. Calculate the completion probability of the fifth type of subtask, including calculating the completion probability of the main combat equipment independently executing the fifth type of subtask in the combat process without considering the system operation. The completion probability of the fifth type of subtask is determined by the support ability of the main combat equipment. The support ability provides the high-efficiency, stable and sustainable working ability of the main combat equipment under high-intensity confrontation conditions, and is determined by the command and control support ability, communication support ability, material support ability, maintenance support ability, etc. Through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω executing the fifth type of subtask 5 , and its calculation formula is:

[0028]

[0029] Among them, K 5 is the total number of executions of the fifth type of subtask in actual equipment drills or combat simulations, is the number of successful completions of the fifth type of subtask. ε 5 is the prior completion probability of the fifth type of subtask, and σ 5 is the adjustment factor of the fifth type of subtask.

[0030] The described step S3 includes calculating the combat effectiveness index of the main combat equipment under the support of the combat system. Let the combat effectiveness index of the force system operation be ρ, ρ ∈ [0,1], and the combat effectiveness index F of the main combat equipment Ω under the support of the combat system, and its calculation formula is:

[0031]

[0032] Among them, α i is the completion probability of the i-th type of subtask.

[0033] The described step S4 includes calculating the combat effectiveness index of the force facing the system operation. The combat effectiveness index of the force is the sum of the combat effectiveness indices of its affiliated main combat equipment under the support of the combat system. Specifically, for any combat force, it is equipped with M types of main combat equipment, M ≥ 1, then the combat effectiveness index F * of the force facing the system operation is calculated by the formula:

[0034]

[0035] Among them, the number of the j-th type of main combat equipment is φ j , and the combat effectiveness index of this main combat equipment is F j .

[0036] The 1st to 5th types of subtasks can be protection subtasks, information subtasks, reconnaissance subtasks, mobility subtasks, and support subtasks respectively.

[0037] The beneficial effects of the present invention are as follows: First, the calculation of the combat effectiveness index of the military force is attributed to the calculation of the combat effectiveness index of the main battle equipment, and further, the combat effectiveness index of the main battle equipment is analyzed into the firepower index and the completion probabilities of five types of sub-tasks, which conforms to the natural laws of combat and can reflect the influence of the actual environment and equipment factors; Second, the method of the present invention can quantitatively explain the superlinear improvement effect of the system combat on the combat effectiveness of the military force, and intuitively shows that the system combat is a quality factor that helps to improve the combat effectiveness. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] Figure 1 is a flowchart of the implementation steps of the method of the present invention;

[0039] Figure 2 is a graph showing the change trend of the combat effectiveness index of the military force with respect to ρ. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0040] Figure 1 is a flowchart of the implementation steps of the method of the present invention; Figure 2 is a graph showing the change trend of the combat effectiveness index of the military force with respect to ρ. In order to better understand the content of the present invention, two embodiments are given here.

[0041] Embodiment 1

[0042] The present invention discloses a method for calculating the combat effectiveness index of a military force for system combat. By calculating the firepower strike ability of the main battle equipment and the completion probabilities of five types of sub-tasks such as protection, information, reconnaissance, mobility, and support, a non-linear mapping relationship between the system combat ability and the combat effectiveness of the main battle equipment is established. Finally, the combat effectiveness indices of each main battle equipment are fused to obtain the combat effectiveness index of the military force for system combat. The main battle equipment specifically refers to information-based main battle equipment in the present invention, such as main battle tanks, ballistic missiles, fighter jets, destroyers, nuclear submarines, etc.

[0043] The present invention includes the following steps:

[0044] S1, calculate the firepower index of the main battle equipment;

[0045] S2, calculate the completion probability of the sub-tasks of the main battle equipment;

[0046] S3, calculate the combat effectiveness index of the main battle equipment;

[0047] S4, calculate the combat effectiveness index of the military force.

[0048] In the step S1 described above, it includes calculating the firepower strike ability of the main battle equipment. The firepower strike ability, as the core element of the equipment combat effectiveness, directly determines the killing effect of the equipment on the target. Similar to the combat effectiveness, the strength of the firepower strike ability of the main battle equipment is measured by the firepower index. For any main battle equipment Ω, there are N (≥1) weapon platforms on it, and the maximum flight speed of the ammunition on the i-th weapon platform is vi (Unit: m / s), the weight of ammunition (including only the warhead or the warhead section) launched per second is b i (Unit: kg / s), then the calculation formula for the firepower index D of the main combat equipment Ω is:

[0049]

[0050] Among them, N is the number of weapon platforms included in the main combat equipment Ω.

[0051] The step S2 specifically includes:

[0052] S21, calculate the completion probability of the protection sub-task; calculate the completion probability of the main combat equipment independently performing the protection sub-task in the combat process without considering the system operation. The completion probability of the protection sub-task is determined by the protection ability of the main combat equipment. The protection ability provides the survival ability of the main combat equipment in a complex battlefield environment. The protection ability is determined by electromagnetic protection ability, camouflage protection ability, strike protection ability, nuclear and chemical protection ability, etc. Through actual equipment drills or combat simulation means, calculate the completion probability α of the equipment Ω performing the protection sub-task 1 , and its calculation formula is:

[0053]

[0054] Among them, K 1 is the total number of times the protection sub-task is executed in the actual equipment drill or combat simulation, is the number of times the protection sub-task is successfully completed. ε 1 is the prior completion probability of the protection sub-task, σ 1 is the adjustment factor of the first type of sub-task, σ 1 > 0, the larger σ 1 , the greater the influence of the prior completion probability on the result. Any actual equipment drill scenario or combat simulation scenario can include 1 to multiple protection sub-tasks.

[0055] S22, calculate the completion probability of the information sub-task; calculate the completion probability of the main combat equipment independently performing the information sub-task in the combat process without considering the system operation. The completion probability of the information sub-task is determined by the information ability of the main combat equipment. The information ability is used to provide the accurate and rapid response ability of the main combat equipment in a high-intensity combat environment, and it is determined by the situation awareness ability, auxiliary decision-making ability, information transmission ability, and navigation and guidance ability. Through actual equipment drills or combat simulation means, calculate the completion probability α of the equipment Ω performing the information sub-task 2 , and its calculation formula is:

[0056]

[0057] Among them, K 2is the total number of executions of information - type subtasks in live - fire drills or combat simulations, is the number of successfully completed information - type subtasks. ε 2 is the prior completion probability of information - type subtasks, σ 2 is the adjustment factor for the second - type subtasks, σ 2 > 0, σ 2 The larger it is, the greater the impact of the prior completion probability on the result. Any live - fire drill scenario or combat simulation scenario can include 1 to multiple information - type subtasks.

[0058] S23. Calculate the completion probability of reconnaissance - type subtasks. Calculate the completion probability of the main battle equipment independently performing reconnaissance - type subtasks in the combat process without considering system - of - systems combat. The completion probability of reconnaissance - type subtasks is determined by the reconnaissance ability of the main battle equipment. The reconnaissance ability is used to provide the ability of the main battle equipment to accurately detect and locate targets, and is determined by reconnaissance accuracy, distance, range, and persistence, etc. Through live - fire drills or combat simulation means, calculate the completion probability α of equipment Ω performing reconnaissance - type subtasks 3 , and its calculation formula is:

[0059]

[0060] where K 3 is the total number of executions of reconnaissance - type subtasks in live - fire drills or combat simulations, is the number of successfully completed reconnaissance - type subtasks. ε 3 is the prior completion probability of reconnaissance - type subtasks, σ 3 is the adjustment factor for reconnaissance - type subtasks, σ 3 > 0, σ 3 The larger it is, the greater the impact of the prior completion probability on the result. Any live - fire drill scenario or combat simulation scenario can include 1 to multiple reconnaissance - type subtasks.

[0061] S24. Calculate the completion probability of mobility - type subtasks, including calculating the completion probability of the main battle equipment independently performing mobility - type subtasks in the combat process without considering system - of - systems combat. The completion probability of mobility - type subtasks is determined by the mobility ability of the main battle equipment. The mobility ability provides the ability of the main battle equipment to timely and accurately enter the attack position, and is determined by the timeliness, accuracy, persistence, and flexibility of mobility, etc. Through live - fire drills or combat simulation means, calculate the completion probability α of equipment Ω performing mobility - type subtasks 4 , and its calculation formula is:

[0062]

[0063] where K 4 is the total number of executions of mobility - type subtasks in live - fire drills or combat simulations, is the number of successfully completed mobility - type subtasks. ε4 is the prior completion probability of the mobile sub - task, σ 4 is the adjustment factor of the fourth - type sub - task, σ 4 >0, σ 4 The larger it is, the greater the influence of the prior completion probability on the result. Any live - fire exercise scenario or combat simulation scenario can include one or more mobile sub - tasks.

[0064] S25. Calculate the completion probability of the support sub - task, including calculating the completion probability of the main battle equipment independently performing the support sub - task in the combat process without considering system - of - systems combat. The completion probability of the support sub - task is determined by the support ability of the main battle equipment. The support ability provides the high - efficiency, stable and sustainable working ability of the main battle equipment under high - intensity confrontation conditions, and is determined by command and control support ability, communication support ability, material support ability, maintenance support ability, etc. Through live - fire exercise or combat simulation means, calculate the completion probability α of the equipment Ω performing the support sub - task 5 , and its calculation formula is:

[0065]

[0066] Among them, K 5 is the total number of times the support sub - task is executed in the live - fire exercise or combat simulation, is the number of times the support sub - task is successfully completed. ε 5 is the prior completion probability of the support sub - task, σ 5 is the adjustment factor of the fifth - type sub - task, σ 5 >0, σ 5 The larger it is, the greater the influence of the prior completion probability on the result. Any live - fire exercise scenario or combat simulation scenario can include one or more support sub - tasks.

[0067] The step S3 described above includes calculating the combat effectiveness index of the main battle equipment under the support of the combat system. Let the combat system - of - systems combat ability index be ρ, ρ ∈ [0,1], and the value standard is shown in Table 1. The combat effectiveness index F of the main battle equipment Ω under the support of the combat system is calculated by the following formula:

[0068]

[0069] Among them, α i is the completion probability of the i - th type of sub - task.

[0070] The step S4 described above includes calculating the combat effectiveness index of the force facing system - of - systems combat. The combat effectiveness index of the force is the sum of the combat effectiveness indices of its affiliated main battle equipment under the support of the combat system. Specifically, for any combat force, it is equipped with M types of main battle equipment, M ≥ 1, (calculated through steps S1 - S3), then the combat effectiveness index F * of the force facing system - of - systems combat is calculated by the following formula:

[0071]

[0072] Among them, the number of the j - type main battle equipment is φ j , and the combat effectiveness index of this main battle equipment is F j .

[0073] Embodiment 2:

[0074] Taking a hypothetical force as an example, the present invention will be further described in detail below. The equipment allocation of this hypothetical force is shown in Table 2 and is divided into three categories: land, sea and air. The implementation steps of the method of the present invention are shown in Figure 1 .

[0075] A method for calculating the combat effectiveness index of a force facing system - of - systems combat, which includes the following steps:

[0076] (1) Calculate the firepower index of the main battle equipment

[0077] Step (1) includes calculating the firepower strike ability of the main battle equipment. The firepower strike ability, as the core element of the equipment combat effectiveness, directly determines the killing effect of the equipment on the target. Similar to the combat effectiveness, the strength of the firepower strike ability can be measured by the firepower index. For any main battle equipment Ω, there are N (≥1) weapon platforms on it. The maximum flight speed of the ammunition on the i - th weapon platform is v i (unit: m / s), and the weight of the ammunition (only including the warhead or the combat part) launched per second is b i (unit: kg / s), then the firepower index D of the equipment Ω is:

[0078]

[0079] (2) Calculate the completion probability of the main battle equipment's sub - tasks

[0080] (a) Calculate the completion probability of the protection - type sub - tasks

[0081] Step (a) includes calculating the completion probability of the main battle equipment independently performing the protection - type sub - tasks in the combat process without considering system - of - systems combat. The completion probability of the protection - type sub - tasks is determined by the protection ability of the main battle equipment. The protection ability provides the survival ability of the equipment in the complex battlefield environment and is determined by the electromagnetic protection ability, the camouflage protection ability, the strike protection ability, the nuclear and chemical protection ability, etc. By means of actual equipment drills or combat simulations, calculate the completion probability α of the equipment Ω performing the protection - type sub - tasks 1 :

[0082]

[0083] Among them, K 1 is the total number of times of performing the protection - type sub - tasks in the actual equipment drills or combat simulations, is the number of successful completions of protection sub-tasks. Any actual combat exercise scenario or combat simulation scenario can include 1 to multiple protection sub-tasks.

[0084] (b) Calculate the completion probability of information sub-tasks

[0085] Step (b) includes calculating the completion probability of the main battle equipment independently performing information sub-tasks in the combat process without considering the combat of the system. The completion probability of information sub-tasks is determined by the information power of the main battle equipment. The information power provides the equipment with the ability of precise and rapid response in a high-intensity combat environment, and is determined by the situation awareness ability, auxiliary decision-making ability, information transmission ability and navigation and guidance ability. Through actual combat exercises or combat simulation means, calculate the completion probability α of equipment Ω performing information sub-tasks 2 :

[0086]

[0087] where K 2 is the total number of executions of information sub-tasks in actual combat exercises or combat simulations, is the number of successful completions of information sub-tasks. Any actual combat exercise scenario or combat simulation scenario can include 1 to multiple information sub-tasks.

[0088] (c) Calculate the completion probability of reconnaissance sub-tasks

[0089] Step (c) includes calculating the completion probability of the main battle equipment independently performing reconnaissance sub-tasks in the combat process without considering the combat of the system. The completion probability of reconnaissance sub-tasks is determined by the reconnaissance power of the main battle equipment. The reconnaissance power provides the equipment with the ability to accurately detect and locate targets, and is determined by reconnaissance accuracy, distance, range and persistence, etc. Through actual combat exercises or combat simulation means, calculate the completion probability α of equipment Ω performing reconnaissance sub-tasks 3 :

[0090]

[0091] where K 3 is the total number of executions of reconnaissance sub-tasks in actual combat exercises or combat simulations, is the number of successful completions of reconnaissance sub-tasks. Any actual combat exercise scenario or combat simulation scenario can include 1 to multiple reconnaissance sub-tasks.

[0092] (d) Calculate the completion probability of maneuver sub-tasks

[0093] Step (d) includes calculating the completion probability of the main battle equipment independently performing maneuver sub-tasks in the combat process without considering the system operation. The completion probability of the maneuver sub-tasks is determined by the mobility of the main battle equipment. Mobility provides the ability of the equipment to enter the attack position in a timely and accurate manner, which is determined by the timeliness, accuracy, sustainability, and flexibility of the maneuver. Through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing maneuver sub-tasks 4 :

[0094]

[0095] where K 4 is the total number of times of performing maneuver sub-tasks in actual equipment drills or combat simulations, is the number of successfully completed maneuver sub-tasks. Any actual equipment drill scenario or combat simulation scenario can include 1 to multiple maneuver sub-tasks

[0096] (e) Calculate the completion probability of support sub-tasks

[0097] The said (e) includes calculating the completion probability of the main battle equipment independently performing support sub-tasks in the combat process without considering the system operation. The completion probability of the support sub-tasks is determined by the supportability of the main battle equipment. Supportability provides the equipment with the ability to work efficiently, stably, and sustainably under high-intensity confrontation conditions, which is determined by command and control support capabilities, communication support capabilities, material support capabilities, and maintenance support capabilities, etc. Through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing support sub-tasks 5 :

[0098]

[0099] where K 5 is the total number of times of performing support sub-tasks in actual equipment drills or combat simulations, is the number of successfully completed support sub-tasks. Any actual equipment drill scenario or combat simulation scenario can include 1 to multiple support sub-tasks

[0100] (3) Calculate the combat effectiveness index of the main battle equipment

[0101] Step (3) includes calculating the combat effectiveness index of the main battle equipment under the support of the combat system. Let the combat system capability index of the unit be ρ (∈[0,1]), and the value standard is shown in Table 1. The combat effectiveness index F of the main battle equipment Ω under the support of the combat system is:

[0102]

[0103] (4) Calculate the combat effectiveness index of the unit

[0104] Step (4) includes calculating the combat effectiveness index of the troops for system-oriented operations. The combat effectiveness index of the troops is the sum of the combat effectiveness indices of the main battle equipment they belong to. Specifically, for any combat troops, they are equipped with M (≥1) types of main battle equipment, and the quantity of the j-th type of equipment is φ j , and the combat effectiveness index of the equipment is F j (calculated through steps (1) to (3)), then the combat effectiveness index F * of the troops for system-oriented operations is:

[0105]

[0106] In the embodiment, based on the public data, the firepower index of each type of main battle equipment of the imaginary troops is calculated in step (1), and the completion probabilities of 5 types of sub-tasks of each type of main battle equipment are simulated and calculated using the combat simulation system in step (2), and the results are shown in Table 2. Then, 1000 discrete points are equally spaced in the [0,1] interval of the combat effectiveness index ρ of the troops. At each point, the corresponding combat effectiveness index of the troops is calculated through steps (3) and (4), and finally the change trend of the combat effectiveness index of the troops with ρ is plotted as shown in Figure 2 . Obviously, as ρ increases, the combat effectiveness shows a superlinear growth trend, indicating the significant improvement effect of system-oriented operations on combat effectiveness. In particular, the combat effectiveness index when ρ = 0 is only about 36% of that when ρ = 1, that is to say, the combat effectiveness when ρ = 1 is approximately equal to the total combat effectiveness when the equipment quantity is tripled when ρ = 0. This fully shows that in the modern high-tech war environment, the quantity factor is no longer the key to determining victory or defeat. On the premise that the equipment technology level remains unchanged, system-oriented operations, as a quality factor, play a decisive role in combat effectiveness. Even if the equipment quantity is at a disadvantage, due to the blessing of the combat system, the combat effectiveness can instead gain an advantage.

[0107] ρ value Capability level [0,0.1) Basically does not have the ability of system combat [0.1-0.3) Has preliminary system combat ability [0.3-0.6) Has general system combat ability [0.6-0.8) Has good system combat ability [0.8-1] Has excellent system combat ability

[0108] Table 1

[0109]

[0110] Table 2

[0111] The above are only the embodiments of the present application and are not used to limit the present application. For those skilled in the art, various changes and modifications can be made to the present application. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application shall be included within the scope of the claims of the present application.

Claims

1. A method for calculating the combat effectiveness index of troops for system - oriented operations, characterized in that, by calculating the fire - strike ability of main battle equipment and the completion probabilities of various sub - tasks, a non - linear mapping relationship between the system - oriented combat ability and the combat effectiveness of main battle equipment is established, and finally the combat effectiveness indexes of each main battle equipment are fused to obtain the combat effectiveness index of troops for system - oriented operations; This method includes the following steps: S1, calculate the firepower index of main battle equipment; S2, calculate the completion probability of sub - tasks of main battle equipment; S3, calculate the combat effectiveness index of main battle equipment; S4, calculate the combat effectiveness index of troops; The specific content of step S2 is as follows: S21, calculate the completion probability of the first type of subtasks; calculate the completion probability of the main combat equipment independently performing the first type of subtasks in the combat process without considering the system operation; the completion probability of the first type of subtasks is determined by the protection ability of the main combat equipment, and the protection ability provides the survival ability of the main combat equipment in the complex battlefield environment. The protection ability is determined by the electromagnetic protection ability, the camouflage protection ability, the strike protection ability and the nuclear and chemical protection ability; through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing the first type of subtasks 1 , and its calculation formula is: Among them, K 1 is the total number of executions of the first type of subtasks in the live drill or combat simulation, is the number of successful completions of the first type of subtasks, ε 1 is the prior completion probability of the first type of subtasks, σ 1 is the adjustment factor of the first type of subtasks.

2. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The described step S1 includes calculating the fire strike capability of the main battle equipment; the strength of the fire strike capability of the main battle equipment is measured by a firepower index; for any main battle equipment Ω, there are N (≥1) weapon platforms on it, and the maximum flight speed of the ammunition on the i-th weapon platform is v i , and the weight of the ammunition fired per second is b i , then the calculation formula for the firepower index D of the main battle equipment Ω is: where N is the number of weapon platforms included in the main battle equipment Ω.

3. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The specific content of step S2 is as follows: S22. Calculate the completion probability of the second type of subtask; calculate the completion probability of the main combat equipment independently performing the second type of subtask in the combat process without considering the system operation; the completion probability of the second type of subtask is determined by the information power of the main combat equipment. The information power is used to provide the precise and rapid response ability of the main combat equipment in a high-intensity combat environment, which is determined by the situation awareness ability, auxiliary decision-making ability, information transmission ability, and navigation and guidance ability; through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing the second type of subtask 2 , and its calculation formula is: Among them, K 2 is the total number of executions of the second type of subtasks in the actual combat drill or combat simulation, is the number of successful completions of the second type of subtasks, ε 2 is the prior completion probability of the second type of subtasks, σ 2 is the adjustment factor of the second type of subtasks.

4. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The specific content of step S2 is as follows: S23. Calculate the completion probability of the third type of subtask, that is, calculate the completion probability of the main combat equipment independently performing the third type of subtask in the combat process without considering the system operation. The completion probability of the third type of subtask is determined by the reconnaissance ability of the main combat equipment. The reconnaissance ability is used to provide the ability of the main combat equipment to accurately detect and locate targets, and is determined by the reconnaissance accuracy, distance, range and persistence. Through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing the third type of subtask 3 , and its calculation formula is: Among them, K 3 is the total number of executions of the third type of subtasks in the actual combat drill or combat simulation, is the number of successful completions of the third type of subtasks, ε 3 is the prior completion probability of the third type of subtasks, σ 3 is the adjustment factor of the third type of subtasks.

5. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The specific content of step S2 is as follows: S24. Calculate the completion probability of the fourth type of subtask, including calculating the completion probability of the main combat equipment independently performing the fourth type of subtask in the combat process without considering the system operation; the completion probability of the fourth type of subtask is determined by the mobility of the main combat equipment. Mobility provides the ability of the main combat equipment to enter the attack position in a timely and accurate manner, which is determined by the timeliness, accuracy, persistence, and flexibility of the mobility; through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing the fourth type of subtask 4 , and its calculation formula is: Among them, K 4 is the total number of executions of the fourth type of subtask in the actual combat drill or combat simulation, is the number of successful completions of the fourth type of subtask, ε 4 is the prior completion probability of the fourth type of subtask, σ 4 is the adjustment factor of the fourth type of subtask.

6. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The specific content of step S2 is as follows: S25. Calculate the completion probability of the fifth type of subtask, including calculating the completion probability of the main combat equipment independently performing the fifth type of subtask in the combat process without considering the system operation; the completion probability of the fifth type of subtask is determined by the supportability of the main combat equipment, and the supportability provides the high-efficiency, stable and sustainable working ability of the main combat equipment under high-intensity confrontation conditions, which is determined by the command and control support ability, communication support ability, material support ability and maintenance support ability; through actual equipment drills or combat simulation means, calculate the completion probability α of equipment Ω performing the fifth type of subtask 5 , and its calculation formula is: Among them, K 5 is the total number of executions of the fifth type of subtask in the actual combat drill or combat simulation, is the number of successful completions of the fifth type of subtask, ε 5 is the prior completion probability of the fifth type of subtask, σ 5 is the adjustment factor of the fifth type of subtask.

7. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, Step S3 includes calculating the combat effectiveness index of main battle equipment supported by the combat system; assuming the combat - system - oriented combat ability index of the troops is ρ, ρ ∈ [0, 1], and the combat effectiveness index F of the main battle equipment Ω supported by the combat system, its calculation formula is: Among them, α i is the completion probability of the i-th type of subtask.

8. The method for calculating the combat effectiveness index of troops for system - oriented operations according to claim 1, characterized in that, The step S4 described above includes calculating the combat effectiveness index of the troops facing system-based operations; the combat effectiveness index of the troops is the sum of the combat effectiveness indices of their affiliated main battle equipment under the support of the combat system; specifically, for any combat troops equipped with M types of main battle equipment, where M ≥ 1, then the combat effectiveness index F * of the troops facing system-based operations is calculated by the following formula: Among them, the number of the j-th type of main combat equipment is φ j , and the combat effectiveness index of this main combat equipment is F j .

Images