Mathematical Model for Solving Problem of Target Allocation of Antiaircraft Fire Weapons in AD Contour of Surface Ship (in AD System of Group of Ships) in Case of Attack Threat and Repelling Attacks of Anti-Ship Cruise Missiles

Abstract

The improvement of the algorithms of processing information and controlling of weapons systems in combination with their automation, which can significantly reduce time from the moment of detection of air targets to their destruction, is a promising direction in organizing of building and effective combat use of such complex systems as the contour of antiaircraft defense (AD) of a single surface ship and the AD system of a group of the surface ships. The transition to the creation and use of the precision-guided long-range munition, e.g. anti-ship missiles (AShM), allows to destroy ships from remote lines without entering the zone of the fighter aircraft action and reach of the antiaircraft missile system. When repelling attacks of anti-ship cruise missiles, a poor-quality solution of the problem of the target allocation of the antiaircraft fire weapons of a ship (group of ships) does not allow to realize the combat capabilities of the AD contour (system) as a whole, which leads to a loss of combat capability of the ship (ships). The main difference between the proposed mathematical model for solving the target allocation problem and those implemented in the combat information and controlling systems of the surface ships is the fact that it provides the possibility of evaluating own antiaircraft fire weapons and enemy’s AShM when developing an optimal target allocation plan based on a detailed account of the AShM detection range, coordination of the destruction zones, sectors of fire, lines of the implementation of the AShM tasks, mutual security measures, electromagnetic compatibility of the electronic means, i.e. taking into account the existing zones of the destruction of the antiaircraft fire weapons, as well as solving the problem of the target allocation in time. The solution of the task is carried out both directly during the antiaircraft combat, and in the case of the attack threat of the AShM. In its turn, the last one makes it possible to optimize building of the antiaircraft fire covering system and the AD system of both a single surface ship and the group of the surface ships as a whole, and to optimize the solution of the target allocation problem, in particular. The presented mathematical model and the algorithm and program developed on its basis can be recommended after appropriate modification for inclusion in both automated combat control systems and respectively combat information and control systems of connections of surface ships and single ships, that allows to solve the problem of the target allocation on a time scale close to real.