## Methods of Optimization and Systems Analysis for Problems of Transcomputational ComplexityThis 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. |

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### Contents

Chapter 1 Science Was the Meaning of His Life | 1 |

Chapter 2 Optimization Methods and Their Efficient Use | 29 |

Chapter 3 Mathematical Modeling and Analysis of Complex Processes on Supercomputer Systems | 106 |

Chapter 4 Problems of Modeling and Analysis of Processes in Economic Cybernetics | 161 |

Chapter 5 Analyzing the Solution of Complicated Combinatorial Problems | 187 |

Afterword | 211 |

212 | |

223 | |

### Other editions - View all

Methods of Optimization and Systems Analysis for Problems of ... Ivan V. Sergienko No preview available - 2014 |

Methods of Optimization and Systems Analysis for Problems of ... Ivan V. Sergienko No preview available - 2012 |

### Common terms and phrases

academician Academy of Sciences algorithms allow analysis of variants analyzed applied problems approach approximate Bayesian Bayesian networks calculations classes combinatorial components considered constraints construction consumption convex convex functions corresponding created decision descent vector direction discrete optimization distribution dynamic economic economy of Ukraine efficient energy saving equations ES EVM estimates extremum fðxÞ field formulated genome global gradient IIASA implementation important informatics information technologies Institute of Cybernetics interaction Kyiv linear macroconveyor mathematical models minimization N. Z. Shor nodes nonlinear nonsmooth objective function obtained operation optimal control optimization methods optimization problems parallel computations parameters permutations possible procedure processes production programming projects proposed random reduced risk schemes scientific scientists sequence sequential analysis solution stochastic optimization structure studies subgradient subgradient methods subgraph supercomputers systems analysis theoretical theory tion transcomputational complexity USSR V. M. Glushkov V. S. Mikhalevich values variables various waveguides