2

en 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. Materials & 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.   ,Mathematics,Military Forces,Military Affairs,Defense 271 278 http://ijwph.daneshafarand.org/browse.php?a_code=A-10-1948-1&slc_lang=en&sid=3 O. Semenenko 1003194753284600378521 1003194753284600378521 Yes Research Department of Economic Analysis of Development Activities of the Armed Forces of Ukraine, Central Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine S. Kirsanov 1003194753284600378520 1003194753284600378520 No Research Center for Investigation of Armed Forces Command and Control Problems, Central Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine O. Mashkin 1003194753284600378519 1003194753284600378519 No Research Department for Modeling the Development of the Armed Forces, Central Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine O. Pravdyvets 1003194753284600378518 1003194753284600378518 No Directorate of Digital Transformation and Information Security Policy in the Sphere of Defense, Ministry of Defense of Ukraine, Kyiv, Ukraine V. Petrozhalko 1003194753284600378517 1003194753284600378517 No Research Center for Investigation of Armed Forces Command and Control Problems, Central Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine