Murin M. Mathematical model and optimization methods for solving problems of placement of rectangular geometric objects with variable metric characteristics

In the dissertation thesis, it has been developed a mathematical model and optimization methods for solving the problems of locating rectangular geometric objects with variable metric characteristics in an isotropic field, it has been proposed a method of linear approximation of separable nonlinear constraints ensuring accuracy, which is an exogenous parameter, it has been proposed modifications of the precise methods of local and global optimization, as well as a modification of the approximate method of a solution, built on the optimization of groups of variables, it has been built a conceptual model of information-analytical system as a program environment to support decision making and realized its software implementation.