Методичний підхід до побудови моделі системи реабілітації військовослужбовців на основі мережі масового обслуговування

One of the problematic issues that the Armed Forces of Ukraine faced during the Russian-Ukrainian war was to improve the efficiency of the rehabilitation system for military personnel of the Armed Forces of Ukraine. The system of rehabilitation of military personnel must meet scientifically sound requirements. Therefore, it became necessary to solve the problem of constructing an appropriate mathematical model. The purpose of the article is to develop a methodological approach to building a model of a rehabilitation system for the service members of the Armed Forces of Ukraine. Research methods: for the direct modeling of the system and processes of rehabilitation of service members, the mathematical apparatus of the theory of queuing, in particular, the apparatus of queuing systems and queuing networks, was used. Analysis of recent research and publications. The study of research and publications suggests that models related to rehabilitating service members of the Armed Forces of Ukraine receive much attention. Generally, these models contain indicators of fulfilling one of the tasks. Still, no models are directly designed to characterise the parameters of the personnel rehabilitation system and its productivity. Given the above, there is an urgent problematic issue in building a model of the rehabilitation system of service members, improving its indicators that would consider the productivity of medical care and the capabilities of rehabilitation of service members of the Armed Forces of Ukraine. Presenting the primary material. To model the system of service members' rehabilitation directly, the mathematical tools of queuing theory were used, particularly those of queuing systems and networks. The modelling was based on the current procedure, methods, and approaches to building a rehabilitation system for service members and the algorithms of its operation. Service members' modern system of rehabilitation (medical, physical, and psychological rehabilitation) can be represented as a mass service network with several features, for which some assumptions are made. In this research paper, the parameters of the rehabilitation system of service members, which operates in the Armed Forces of Ukraine today, were calculated using the above research methods. Elements of scientific novelty. Scientific novelty is a complex decision in forming a rehabilitation system, applying the model of the rehabilitation system created based on the approaches of the theory of mass service networks. Theoretical and practical significance of the article: creation of a model of a multi-level system that makes it possible to calculate the system as a whole and its fragments. Conclusion and the perspectives of future research: application of the proposed approach to determine the possibility of using an open queuing network in cases where the duration of servicing applications in all nodes is a random variable distributed not according to the exponential law, but according to other rules.