APPLICATION OF MATHEMATICAL TOOLS OF SEMI-MARKOVIAN PROCESS AND JACKSON’S NETWORK APPROACH IN THE SIMULATION OF AIR DEFENCE-MISSILE DEFENCE (AD-MD) OF ALL-ARMS FORCES
The usage of up-to-date integratabilities of control, communications, intelligence, and attack weapon systems, and of the enhancement of their interaction level by means of the implementation of principles of the new “network-centric” concepts specifies the necessity to conduct thorough investigations, including ones in the field of mathematical modeling. The article presents an issue regarding a timely character of over-the-horizon acquisition of air targets and transmission of target designation from external systems to networks of space-distributed all-arms forces and means. This article provides a mathematical model that represents the mode of control of Fleet all-arms forces, integrated in the unified system by means of the complex control systems network architecture and controlled forces, when a group of ships executes an AD-MD mission using space-based reconnaissance systems, satellite communications and shore-based intelligence information centers. The index system that enables to estimate the effectiveness of all-arms forces operations with regard to the evaluation of timing data of random processes execution in the control network is elaborated. The mathematical simulation is executed to the benefit of development of military-oriented computer-aided control systems.