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AMPL A Modeling Language for Mathematical Programming 2nd Edition by Robert Fourer

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AMPL A Modeling Language for Mathematical Programming 2nd Edition by Robert Fourer, David M. Gay, Brian W. Kernighan 0534388094 978-0534388096

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Product details:

  • ISBN 10: 0534388094
  • ISBN 13: 978-0534388096
  • Author: Robert Fourer, David M. Gay, Brian W. Kernighan
AMPL is a language for large-scale optimization and mathematical programming problems in production, distribution, blending, scheduling, and many other applications. Combining familiar algebraic notation and a powerful interactive command environment, AMPL makes it easy to create models, use a wide variety of solvers, and examine solutions. Though flexible and convenient for rapid prototyping and development of models, AMPL also offers the speed and generality needed for repeated large-scale production runs. This book, written by the creators of AMPL, is a complete guide for modelers at all levels of experience. It begins with a tutorial on widely used linear programming models, and presents all of AMPL’s features for linear programming with extensive examples. Additional chapters cover network, nonlinear, piecewise-linear, and integer programming; database and spreadsheet interactions; and command scripts. Most chapters include exercises. Download free versions of AMPL and several solvers from www.ampl.com for experimentation, evaluation, and education. The Web site also lists vendors of the commercial version of AMPL and numerous solvers.

Table contents:

Chapter 1. Production Models: Maximizing Profits

Chapter 2. Diet and Other Input Models: Minimizing Costs

Chapter 3. Transportation and Assignment Models

Chapter 4. Building Larger Models

Chapter 5. Simple Sets and Indexing

Chapter 6. Compound Sets and Indexing

Chapter 7. Parameters and Expressions

Chapter 8. Linear Programs: Variables, Objectives and Constraints

Chapter 9. Specifying Data

Chapter 10. Database Access

Chapter 11. Modeling Commands

Chapter 12. Display Commands

Chapter 13. Command Scripts

Chapter 14. Interactions with Solvers

Chapter 15. Network Linear Programs

Chapter 16. Columnwise Formulations

Chapter 17. Piecewise-Linear Programs

Chapter 18. Nonlinear Programs

Chapter 19. Complementarity Problems

Chapter 20. Integer Linear Programs

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