SUGGESTION ON THE CHOICE OF COMBINATIONS OF ENEMY’S GROUND OBJECTS BEING STRUCK AT PLANNING OF FIRE STRIKES TAKING INTO ACCOUNT CURRENT STATUS OF THESE OBJECTS
Authors: Zviglyanich S. , Orlov S. , Balabukha O. , Kolomiitsev O. , Openko P. 
Published: May 2022

The article discusses suggestion to solving the problem of choosing a target combination when planning fire strikes against enemy targets. As a rule, such objects are important elements of C2 system for all services and branches of troops, as well as key infrastructure facilities of the state. It is reasonable to consider the objects selected for destruction as a system in which their functioning can be characterized by the level and completeness of interaction with each other. Representation of targets as a system allows you to highlight the existing connections and the nature of the relationship between these objects. In general, all connections can be reduced to control, functional and informational. It is proposed, depending on the purpose of each object in the system as a whole, on the basis of an expert assessment, to take into account the value of a particular relationship by the coefficient of importance. Note that the type of connection also determines the relationship of objects to each other. The state of links can change over time, thereby changing the position (significance) of an object in the system. Let us assume that some means of control establish the probability of the presence of connections of all objects in the system. Such connections (their presence or absence) determine the possible state of the objects under consideration. Then, making the assumption that the process of transition of objects from state to state is stationary, on the basis of the Kolmogorov equations, the probabilities of finding objects in the states under consideration are calculated. The absence (restoration) of any given connection is a random event and introduces some uncertainty in the knowledge of the true state of the object under consideration. Let us estimate this uncertainty in terms of the object's entropy. The maximum value of entropy is achieved when the probability of finding an object in a working (initial) state is equal to 0.5. Any other value of entropy corresponds to two probabilities characterizing, respectively, two states of the object. In order to distinguish them, we introduce a characteristic variable. The value of the introduced variable increases with an increase in the probability of finding an object in good condition and, accordingly, decreases with a decrease in this probability. The potential of an object to perform its functions in the system is also significantly influenced by the number of connections connecting it with other objects in the system. It is proposed to introduce the indicator "potential of the object". This indicator combines both the uncertainty of the state of an object through the introduced characteristic variable and the number of connections with other objects in the system. In other words, it determines the ability of the object to fulfill its purpose at this stage of the system's functioning. The ranking of objects in the system according to this indicator makes it possible to single out the affected combination, which leads to a maximum decrease in the quality of the functioning of the system as a whole. Determining the combination to be hit can also be based on a ranged number of objects by the time to restore their readiness, while setting the requirement to maximize the required time to restore the readiness of the functioning of the system as a whole. If the number of objects included in the system is significant, and the number of combat units allocated for their destruction is limited, then the solution to the problem of choosing the combination to be hit becomes not trivial. In this case, it is proposed to reduce the problem of determining the target combination to the problem of resource allocation, which is solved by the method of dynamic programming. The number of stages considered is reduced to the number of objects. Combat units act as a resource. The damage function is expressed through the entered indicator - “object potential”. In this case, we are talking about the choice of the affected combination, which leads to the maximum damage to the system of objects in terms of its functioning as a whole. If we imagine the function of damage after the recovery time after the strike, then the selected combination to be hit corresponds to the target of the fire strike, leading to the incapacitation of the system for the maximum time. The presented approaches to the determination of the target combination can be used in the development of automation tools for the decision support system when planning fire strikes against enemy target.