Ovechko K. Mathematical models and methods of complex technical system structure optimization under uncertainty

Object of research is a discrete structure complex technical systems functioning under risk and uncertainty conditions. The purpose of the thesis is further development of mathematical models and discrete optimization methods for complex technical system discrete structure optimization with consideration of uncertain environmental impacts. The thesis results are based on the methods of graph theory, optimization theory, methods of software development. Results of the work are implemented into a software program "Optimal System Structure Search" (an inventor's certificate has been acquired). Scientific results of the dissertation research include developed assets for mathematical and computer modeling: mathematical models, methods, algorithms and the software program. Scientific novelty of the obtained results is further development of discrete optimization theory and its methods, which can be used for search of the optimal discrete structure for the complex technical system, which functions under uncertainty of environmental influence.Primary results of the work have been included into educational process of Kharkіv State Technical University of Construction and Architecture and have been implemented in practice to design a technical system, such as complex information protection system.