This monograph is a concise explanation of recent advances, obtained by scientific workers of Eastern European countries, in the field of optimization and
its application to mathematical economy and control of economic systems. Light will be thrown on a variety of problems concerned with the construction and
analysis of optimization models: equilibrium models of mathematical economy, modern numerical optimization methods and software, methods of convex programming
optimal with respect to complexity, polynominal algorithms of linear programming, decomposition of optimization systems, modern apparatus of nonsmooth
optimization, models and methods of discrete programming. Special attentions is paid to extensions of the optimization approach - to the analysis and correction
of inconsistent mathematical programming problems, multiobjective problems, optimization in order scales, and to extremal problems in infinite-dimensional spaces. |
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