Nonlinear Optimization Applications Using the GAMS Technology

1. Front Matter

   Pages i-xxii

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2. Mathematical Modeling Using Algebraically Oriented Languages

   • Neculai Andrei

   Pages 1-8

3. Introduction to GAMS Technology

   • Neculai Andrei

   Pages 9-23

4. Some Mathematical Algorithms and Problems in GAMS Technology

   • Neculai Andrei

   Pages 25-47

5. Nonlinear Systems of Equations

   • Neculai Andrei

   Pages 49-66

6. Applications of Mechanical Engineering

   • Neculai Andrei

   Pages 67-136

7. Applications in Electrical Engineering

   • Neculai Andrei

   Pages 137-159

8. Applications in Chemical Engineering

   • Neculai Andrei

   Pages 161-222

9. Heat Transfer and Fluid Dynamics

   • Neculai Andrei

   Pages 223-245

10. Economic Development

    • Neculai Andrei

    Pages 247-258

11. Water Management in River Systems

    • Neculai Andrei

    Pages 259-271

12. Robust Stability Analysis

    • Neculai Andrei

    Pages 273-286

13. Optimal Control

    • Neculai Andrei

    Pages 287-322

14. Conclusions

    • Neculai Andrei

    Pages 323-324

15. Back Matter

    Pages 325-340

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The purpose of this book is to develop a wide collection of nonlinear optimization applications from the real-world expressed in the GAMS (General Algebraic Modeling System) language. The book is designed to present these applications in a very general form in such a way so that they could be very easily and quickly understood, updated, or modified to represent real situations from the real-world and is suitable for scientists working in various disciplines that use optimization methods to model and solve problems as well as mathematical programming researchers, operations research practitioners, and management consultants. This book is well suited as additional material for courses in optimization, operations research, decision making, and more. Modeling language in mathematical optimization supports symbols and nonlinear or differential expressions used in descriptions of optimization problems including the concepts of parameters, variables, constraints, and objective functions. Therefore, algebraic oriented modeling languages are the ones used in mathematical optimization systems.​

• GAMS technology
• algebraic oriented language
• mathematical programming
• modeling software
• optimization software

“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)

• , Center for Advanced Modeling & Optimizat, Research Institute for Informatics, Bucharest, Romania

  Neculai Andrei

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