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Nonlinear optimization applications using the GAMS technology. (English) Zbl 1401.90001

Springer Optimization and Its Applications 81. New York, NY: Springer (ISBN 978-1-4614-6796-0/hbk; 978-1-4614-6797-7/ebook). xxii, 340 p. (2013).
The authors present a wide spectrum of applications of the mathematical programming using the GAMS (General Algebraic Modelling System) language. The book presents the applications in the general form, and focuses on the local optima of the continuous optimization problems. First two chapters of the book introduce the basics of mathematical modeling and GAMS technology. In chapter 3 chosen algorithms and problems are presented. Next chapters focus on specific areas of applications, in particular mechanical engineering, electrical engineering, chemical engineering, fluid and gas dynamics, economic growth, water management and optimal control. The book is self-contained and will be a valuable reference for graduate and PhD. students, as well as the researchers in the area of mathematical programming.

MSC:

90-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
90C30 Nonlinear programming
90C90 Applications of mathematical programming
49J15 Existence theories for optimal control problems involving ordinary differential equations
49J20 Existence theories for optimal control problems involving partial differential equations
65H10 Numerical computation of solutions to systems of equations
90C25 Convex programming
90C26 Nonconvex programming, global optimization
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