Author | Pintรฉr, Jรกnos D. author |
---|---|
Title | Global Optimization in Action [electronic resource] : Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications / by Jรกnos D. Pintรฉr |
Imprint | Boston, MA : Springer US : Imprint: Springer, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2502-5 |
Descript | XXVIII, 480 p. online resource |
One Global Optimization: A Brief Review -- 1.1 General Problem Statement and Special Model Forms -- 1.2 Solution Approaches -- 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 Methods on General Convex and Star Sets -- 2.7 Partition Strategies in General Lipschitz Optimization -- Three Implementation Aspects, Algorithm Modifications and Stochastic Extensions -- 3.1 Diagonally Extended Univariate Algorithms for Multidimensional Global Optimization -- 3.2 Estimation 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 -- Four Applications -- 4.1 Nonlinear Approximation: 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 -- Afterword -- Some Further Research Perspectives -- References