Building and Solving Mathematical Programming Models in Engineering and Science

Description

Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes: * Discussion and implementation of the GAMS programming system * Unique coverage of compatibility * Illustrative examples that showcase the connection between model and reality * Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises * Real-world applications to probability and statistics, electrical engineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.Content: Chapter 1 Linear Programming (pages 1–23): Chapter 2 Mixed?Integer Linear Programming (pages 25–46): Chapter 3 Nonlinear Programming (pages 47–70): Chapter 4 An Introduction to Linear Programming (pages 71–96): Chapter 5 Understanding the Set of All Feasible Solutions (pages 97–116): Chapter 6 Solving the Linear Programming Problem (pages 117–159): Chapter 7 Mixed?Integer Linear Programming (pages 161–182): Chapter 8 Optimality and Duality in Nonlinear Programming (pages 183–233): Chapter 9 Computational Methods for Nonlinear Programming (pages 235–282): Chapter 10 The GAMS Package (pages 283–310): Chapter 11 Some Examples Using GAMS (pages 311–368): Chapter 12 Applications (pages 369–449): Chapter 13 Some Useful Modeling Tricks (pages 451–476):