Currently, the decisive factor in the development of the theory of military art in the sea is the fact of transition to the creation and use of precision-guided long-range munition by an enemy - anti-ship cruise missiles (ASCM), so that to destroy ships from remote lines without entering the zone of the fighter aircraft action and reach of the antiaircraft missile system. A promising direction in the organization of the building and effective combat use of such complex systems as the anti-aircraft defense contour of a single surface ship, and the anti-aircraft defense system of a group of surface ships in the threat of attack and repelling attacks of anti-ship cruise missiles, is the improvement of the algorithms for information processing and control of weapons systems in combination with their automation. Modern information technologies based on the use of computer technology and mathematical modeling allow improving the decision-making process in the tasks of building complex systems, processes of planning and organizing their activities. The methods of “artificial intelligence”, automation of the process of forces and means control in combat significantly increase the efficiency of decision-making. The fleeting nature and rapid change of the situation in anti-aircraft combat require solving the problem of repelling attacks by anti-ship cruise missiles in real time, that is impossible without full automation of the process of controlling the forces and means of anti-aircraft defense, in case of that human participation in anti-aircraft combat should be minimized, and completely excluded if possible. One of the complex systems that require full automation and real-time operation is the anti-aircraft fire covering system for surface ships formation. Determination of the optimal (expedient) combat readiness mode of the anti-aircraft fire weapons included in its composition is a prerequisite for the effective functioning of the anti-aircraft fire covering system in anti-aircraft combat. The article proposes a problem solution of the control optimization of the combat readiness mode of the anti-aircraft fire weapons in the anti-aircraft fire covering system of the surface ships formation in the case of the attacking threat of the anti-ship cruise missiles. The obtained results will substantiation of an optimal (expedient) mode of combat readiness and also creation of recommendations for setting the duty schedule of the anti-aircraft fire weapons in the interests of anti-aircraft defense. The presented mathematical model and the developed on its basis algorithm and program can be recommended for inclusion in both automated combat control systems and respectively combat information and control systems of connections of surface ships and single ships.
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