Abstract
The article deals with the problem of determining the number of antiaircraft missile systems of various types in grouping of Air Defense troops for the purpose of providing the required effectiveness of repelling the enemy air strikes on the objects and troops. The methodology of justification of ratio of different types of antiaircraft missile systems in the grouping of Air Defense troops using Lagrange’s method of undetermined multipliers has been developed. This technique allows justifying a set of types of antiaircraft missile systems which will provide maximum effectiveness of the employment of grouping of Air Defense troops. This approach can also be used to justify the composition of mixed military formations of Air Defense.
Highlights
Antiaircraft missile systems (AAMs) of different types which differ in tactical and technical characteristics [1-3] are usually used to form a grouping of Air Defense (AD) troops
It is well known that the effectiveness of the employment of the grouping of AD troops to repel air strikes on the objects and troops, as well as any system designed to engage the objects, nonlinearly depends on the number and types of antiaircraft missile systems in it
It can be assumed that there is such a ratio of different types of AAMs that can provide the maximum effectiveness of employment of the grouping of AD troops
Summary
Antiaircraft missile systems (AAMs) of different types which differ in tactical and technical characteristics [1-3] are usually used to form a grouping of Air Defense (AD) troops. It is well known that the effectiveness of the employment of the grouping of AD troops to repel air strikes on the objects and troops, as well as any system designed to engage the objects (targets), nonlinearly depends on the number and types of antiaircraft missile systems in it. It differs in different types of AAMs [2]. It can be assumed that there is such a ratio of different types of AAMs that can provide the maximum effectiveness of employment of the grouping of AD troops.
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