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Online Optimization of Large Scale Systems

By: M. Grotschel, S. O. Krumke, J. Rambau

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Hardcover | 11 September 2001

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820 Pages

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24.77 x 17.15 x 3.81

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In its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.

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Published: 18th December 2010

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Optimal Control for Ordinary Differential Equations
Sensitivity Analysis and Real-Time Optimization of Parametric Nonlinear Programming Problems	p. 3
Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems Using Boundary Value Methods	p. 17
Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems Using Nonlinear Programming Methods	p. 57
Sensitivity Analysis and Real-Time Control of a Container Crane under State Constraints	p. 69
Real-Time Control of an Industrial Robot under Control and State Constraints	p. 83
Real-Time Optimal Control of Shape Memory Alloy Actuators in Smart Structures	p. 93
Real-Time Solutions for Perturbed Optimal Control Problems by a Mixed Open- and Closed-Loop Strategy	p. 105
Real-Time Optimization of DAE Systems	p. 117
Real-Time Solutions of Bang-Bang and Singular Optimal Control Problems	p. 129
Conflict Avoidance During Landing Approach Using Parallel Feedback Control	p. 143
Optimal Control for Partial Differential Equations
Optimal Control Problems with a First Order PDE System - Necessary and Sufficient Optimality Conditions	p. 159
Optimal Control Problems for the Nonlinear Heat Equation	p. 173
Fast Optimization Methods in the Selective Cooling of Steel	p. 185
Real-Time Optimization and Stabilization of Distributed Parameter Systems with Piezoelectric Elements	p. 205
Instantaneous Control of Vibrating String Networks	p. 229
Modelling, Stabilization, and Control of Flow in Networks of Open Channels	p. 251
Optimal Control of Distributed Systems with Break Points	p. 271
Moving Horizon Methods in Chemical Engineering
Introduction to Model Based Optimization of Chemical Processes on Moving Horizons	p. 295
Multiscale Concepts for Moving Horizon Optimization	p. 341
Real-Time Optimization for Large Scale Processes: Nonlinear Model Predictive Control of a High Purity Distillation Column	p. 363
Towards Nonlinear Model-Based Predictive Optimal Control of Large-Scale Process Models with Application to Air Separation Plants	p. 385
Delay Differential Equations in Medical Decision Support Systems
Differential Equations with State-Dependent Delays	p. 413
Biomathematical Models with State-Dependent Delays for Granulocytopoiesis	p. 433
Stochastic Optimization in Chemical Engineering
Stochastic Optimization for Operating Chemical Processes under Uncertainty	p. 457
A Multistage Stochastic Programming Approach in Real-Time Process Control	p. 479
Optimal Control of a Continuous Distillation Process under Probabilistic Constraints	p. 499
Stochastic Trajectory Planning in Robot Control
Adaptive Optimal Stochastic Trajectory Planning	p. 521
Stochastic Optimization Methods in Robust Adaptive Control of Robots	p. 545
Integer Stochastic Programming
Multistage Stochastic Integer Programs: An Introduction	p. 581
Decomposition Methods for Two-Stage Stochastic Integer Programs	p. 601
Modeling of Uncertainty for the Real-Time Management of Power Systems	p. 623
Online Scheduling of Multiproduct Batch Plants under Uncertainty	p. 649
Combinatorial Online Planning in Transportation
Combinatorial Online Optimization in Real Time	p. 679
Online Optimization of Complex Transportation Systems	p. 705
Stowage and Transport Optimization in Ship Planning	p. 731
Real-Time Annealing in Image Segmentation
Basic Principles of Annealing for Large Scale Non-Linear Optimization	p. 749
Multiscale Annealing and Robustness: Fast Heuristics for Large Scale Nonlinear Optimization	p. 779
Author Index	p. 803
Table of Contents provided by Blackwell. All Rights Reserved.

Online Optimization of Large Scale Systems

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