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Information × Registration Number 0217U004251, 0116U002529 , R & D reports Title Development of new mathematical methods of system analysis and optimal solutions theory and ther applications popup.stage_title Head Nakonechnyi Oleksandr Grygorovych, Registration Date 27-01-2017 Organization Taras Shevchenko Kiev University popup.description2 Object of research: systems of equations of different types, stochastic equations, boundary problems, transport problems, pseudoinverse by Mour-Penrouse, uncertainty, service networks, random processes, groups. Optimal control problems under uncertain conditions and minimal energy were solved for parabolic equation with nonlocal boundary conditions. Methods of Wiener and generalized Wiener process modeling where developed for finding solutions of stochastic equations numerically. New mathematical methods of clustering, classification and pattern recognition where developed based on a theory of pseudoinverse by Mour-Penrouse. Modified decomposition method was proposed for partial combinatorics optimization problems. New methods of solving transport problems with fuzzy vendors, consumers and transmission lines sets were developed. Methods of splitting groups on large parts where developed. Conditions of weak convergence in Skorohod space were found. Methods of Ito-Skorohod differential equations reliability research in Hilbert spaces where developed. Conditions of existence and recurrent representations of steady state probabilities where found for systems with que and retrial calls. Algorithms of calculating stationary distribution of LDQBD-processes where developed. Product Description popup.authors Іксанов О.М. Григор'єва Н.М. Донченко В.С. Доценко С.І. Зінько Т.П. Капустян О.А. Коробко Т.В. Кучеренко О.В. Лебєдєв Є.О. Лосєва М.В. Лукович О.В. Нікітін А.В. Назарага І.М. Пашко А.О. Подлипенко Ю.К. Пономарьов В.Д. Протасов І.В. Протасова К.Д. Самойленко І.В. Усар І.Я. popup.nrat_date 2020-04-02 Close