Nonconvex Optimization and Its Applications

List of figures. List of tables. Preface. Part One: Global optimization: a brief review. 1.1. General problem statement and special model forms. 1.2. Solution approaches. Part Two: Partition strategies in global optimization: the continuous and the Lipschitzian case. 2.1. An introduction to partition algorithms. 2.2. Convergence properties of adaptive partition algorithms. 2.3. Partition algorithms on intervals. 2.4. Partition algorithms on multidimensional intervals. 2.5. Simplex partition strategies. 2.6. Partition models on general convex and star sets. 2.7. Partition strategies in general Lipschitz optimization. Part Three: Implementation aspects, algorithm modifications and stochastic extensions. 3.1. Diagonally extended univariate algorithms for multidimensional global optimization. 3.2. Estimations of Lipschitzian problem characteristics in global optimization. 3.3. General Lipschitz optimization applying penalty multipliers. 3.4. An implementation of a Lipschitzian global optimization procedure. 3.5. Decision making under uncertainty: stochastic model forms. 3.6. Adaptive stochastic optimization procedures. 3.7. Estimation of noise-perturbed function values. Part Four: Applications. Introductory notes. 4.1. Nonlinear approximations: systems of equations and inequalities. 4.2. Data classification (clustering) and related problems. 4.3. Aggregation of negotiated expert opinions. 4.4. Product (mixture) design. 4.5. Globally optimized calibration of complex system models. 4.6. Calibration model versions, illustrated by examples. 4.7. Dynamic modelling of phosphorus release from sediments. 4.8. Aquifer model calibration. 4.9. Industrial wastewater management. 4.10. Multiple source river pollution management. 4.11. Lake eutrophication management. 4.12. Risk management of accidental water pollution. Some further research perspectives. References. Index.