Mathematic Model of the Troop Management Cycle based on a Continuous Markov Chain for an Automated Control System

Aims: The purpose of the article is to develop a mathematical model of the army management cycle based on a continuous Markov chain to justify the requirements for the efficiency of the control bodies (CB) of a promising automated control system. Material & Methods: The basis of this methodological apparatus is the following methods: expert assessment, analogies, empirical methods used during testing of individual software and technical solutions of automated control systems, which are created in the Armed Forces of Ukraine. Findings: Authors developed a mathematical model of the troop management cycle based on a continuous Markov chain to justify the requirements for the efficiency of the operation of a promising automated control system. A special feature of this model, which determines its novelty, is the use of the theory of Markov Processes with discrete states and continuous time for mathematical modeling of the CB operation cycle in a control system of any level of subordination of troops. This made it possible, unlike other methods, to establish a relationship between the amount of information that circulates in the troop management cycle during the operation of the CB, and the time that is spent on this at each of its stages. Conclusion: The obtained scientific results made it possible to justify the time (to put forward a requirement for the efficiency of the CB) that is needed to perform certain measures of the CB of a promising automated control system to achieve the goal of the operation.