Optimization via Relaxation and Decomposition
Applications to Large-Scale Engineering Problems
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Beschreibung
This book offers an up-to-date description of relaxation/approximation and decomposition techniques, demonstrating how their combined use efficiently solves large-scale optimization problems relevant to engineering, particularly in electrical, and industrial engineering, with a focus on energy. Specifically, it presents linear and nonlinear relaxations and approximations that are relevant to optimization problems, introduces complicating constraints and complicating variables decomposition techniques that can take advantage of relaxations and approximations, and examines their applications in the engineering field.
Written in an accessible engineering language and filled with numerous illustrative examples and end-of-chapter exercises for all chapters, this book is a valuable resource for advanced undergraduate and graduate students, researchers, and practitioners in power engineering and industrial engineering. Moreover, business students with a keen interest in decision-making problems will also benefit greatly from its practical insights.
This book offers an up-to-date description of relaxation/approximation and decomposition techniques, demonstrating how their combined use efficiently solves large-scale optimization problems relevant to engineering, particularly in electrical, and industrial engineering, with a focus on energy. Specifically, it presents linear and nonlinear relaxations and approximations that are relevant to optimization problems, introduces complicating constraints and complicating variables decomposition techniques that can take advantage of relaxations and approximations, and examines their applications in the engineering field.
Written in an accessible engineering language and filled with numerous illustrative examples and end-of-chapter exercises for all chapters, this book is a valuable resource for advanced undergraduate and graduate students, researchers, and practitioners in power engineering and industrial engineering. Moreover, business students with a keen interest in decision-making problems will also benefit greatly from its practical insights.
Includes end-of-chapter exercises and code in Python-based Pyomo and/or GAMS for selected examples Written in an accessible engineering language to facilitate understanding Combines relaxation/approximation and decomposition techniques for solving large-scale optimization problems
Autor*in
Gonzalo E. Constante-Flores
Themen in »Optimization via Relaxation and Decomposition«
Linear and nonlinear relaxations and approximations Nonlinear optimization Linear optimization Complicating constraints Complicating variables decomposition techniques Engineering applications Large-scale optimization problems Reformulation Approximating optimization problems Linearization Convexification Solution initialization Constraint simplification Variable reduction Machine learning for optimization