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Mathematics | Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity

Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity

Sergienko, Ivan V.

2012, XIV, 226 p.

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  • Offers an interesting and rigorous presentation of modern optimization and adjacent disciplines
  • Presents research from a well-known school of optimization originating in Ukraine
  • Enables the students of informatics and cybernetics to refine their specialization
This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development of approaches to mathematical theories, methodologies, methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decision making, pattern recognition, self-adapting control of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discrete optimization, mathematical modeling, econometric modeling, solution of extremum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematical community and are now known as classic methods.

Content Level » Research

Keywords » development and applications of optimization methods - economical cybernetics - mathematical modeling of complicated processes - solution of complicated combinatorial problems - transcomputational problem

Related subjects » Image Processing - Mathematics - Theoretical Computer Science

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