Leseprobe
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Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology
Neculai Andrei
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Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Sonstiges
Beschreibung
This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications.
Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraicrepresentation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.
Kundenbewertungen
Filter methods, Linearly Constrained Augmented Lagrangian, GAMS technology, Large-Scale Constrained Optimization, Sequential Linear Quadratic Programming, Penalty-Barrier Algorithm, MINOS, SPENBAR, nonlinear optimization modeling, computational sciences, Quadratic programming, Sequential quadratic programming, Mathematical modeling, alkylation process, continuous nonlinear optimization, Interior Point Filter Line Search, Lagrangian methods, SQP