Nonlinear Optimization Applications Using the GAMS Technology [Paperback]

Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.This book focuses on the nonlinear behavior of thin-wall shells (single- and multilayered with delamination areas) under various uniform and non-uniform loadings, using a numerical approach to analyze branching points and to build bifurcation paths.Preface.- List of Figures.- List of Applications.- 1. Mathematical Modeling Using Algebraic Oriented Languages.- 2. Introduction to GAMS Technology.- 3. Nonlinear Optimization Applications in GAMS Technology.- References.- Subject Index.- Author Index.The book presents the applications in the general form, and focuses on the local optima of the continuous optimization problems. & 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. (Marcin Anholcer, zbMATH 1401.90001, 2019)

Nonlinear Optimization Applications Using the GAMS Technology develops a wide spectrum of nonlinear optimization applications expressed in the GAMS (General Algebraic Modeling System) language. The book is highly self-contained and is designed to present applications in a general form that can be easily understood and quickly updated or modified to represent situations from the real world.  The book emphasizes the local solutions of the large-scale, complex, continuous nonlinear optimization applications, and the abundant  examples in GAMS are highlighted by those involving ODEs, PDEs, and optimal control. The collection of these examples will be useful for software developers and testers.

Chapter one presents aspects concerning the mathematical modeling process in the context of mathematical modeling technologies based on algebraicl#