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.

New feature

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 algebraic-oriented modeling languages. The GAMS technology is introduced in Chapter 2, mainly as a system for formulating and solving a large variety of general optimization models. The bulk of the 82 nonlinear optimization applications is given in Chapter 3.

This book  is primarily intended to serve as a reference for graduate students and for scientists working in various disciplines of industry/mathematical programming that use optimization methods to model and solve problems.  It is also well suited as supplementary material for seminars in optimization, operations research, and decision making, to name a few.

Mathematical Modeling Using Algebraically Oriented Languages Introduction to GAMS Technology Some Mathematical Algorithms and Problems in GAMS Technology Nonlinear Systems of Equations Applications of Mechanical Engineering Applications in Electrical Engineering Applications in Chemical Engineering Heat Transfer and Fluid Dynamics Economic Development Water Management in River Systems Robust Stability Analysis Optimal Control Conclusions