M. : MAX Press, 2008. - 323 s. 978-5-317-02318-8 . The monograph deals with the optimization of the process of computer-aided design of complex technical objects. The task of optimizing the global criterion is presented in the form of a sequence of simpler design decision-making tasks using the aggregation of design parameters. A similar decomposition in the form of a hierarchy of computational models of varying complexity is also developed for the tasks of finding the technical characteristics of an object. The basics of decision theory in the presence of a vector criterion and binary relations. are presented. For a number of specific technical objects (robot-manipulator, electric circuit, aircraft), the problem of synthesis of the technical characteristics vector is solved .. Methods of solving some optimization problems arising in the design of subsystems of aircraft. Mathematical modeling in design is compared with modeling in other applied fields. For specialists in computational mathematics, mathematical modeling, as well as for engineers interested in the use of mathematical methods in design The book will be useful to students specializing in the design of technical systems.