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Information × Registration Number 0222U002638, 0119U100305 , R & D reports Title Development of algorithms and software for optimization of modern communication systems and inventory management systems. popup.stage_title Head Lebedev Yevhen O., Доктор фізико-математичних наук Registration Date 15-02-2022 Organization Taras Shevchenko National University of Kyiv popup.description2  Object of research: service networks, telecommunication systems, multi-product models of inventory management, evolutionary and conflict models in a random environment, impulse transition function, models of input processes. Purpose: setting multi-criteria optimization problems of multidimensional stochastic systems with controlled parameters, building effective algorithms for solving optimization problems, studying the living conditions and building an algorithm for finding the optimal strategy in the inventory management model for different types of total cost functions. Research methods: optimization of stochastic and deterministic systems; modern methods of discrete optimization; analysis of multidimensional Markov chains with continuous time. During the reporting period, the conditions for the existence of a fixed mode were found and formulas for calculating the stationary probabilities of classical systems with repeated calls and systems with a limited number of repeated attempts, provided that the intensity of the input flow depends on the length of the queue. For the system [M | M | m | m + n] the conditions for the existence of a stationary regime are clarified and explicit vector-matrix formulas of stationary probabilities are found. The multicriteria task of optimizing the total profit from the operation of the system, under the control of the threshold strategy. For the inventory management task, under which there are two modes for production, the period of operation in each mode was determined in order to optimally satisfy some selected quality criterion. A complex epidemiological model was built, the nature of which is determined by such parameters as the rate of infection, recovery rates, mortality, transition between groups and others. Estimates of pulse transient functions based on observations of input signals and system response to these signals are constructed. T Product Description popup.authors Grygor'eva Nataliya M. Knopov Ihor S. Lukovych Olga V. Ponomariov Vadym D. Rozora Iryna V Samoylenko Ihor V. Semenova Nataliia V Usar Iryna Ya. popup.nrat_date 2022-03-09 Close