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A Tutorial of AMPL for Linear Programming

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A Tutorial of AMPL for Linear Programming Hongwei Jin May, 2014. Contents 1 Introduction 1. AMPL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1. Solvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. Install and Run . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. 2 AMPL Syntax 5. Model Declaration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. Data Assignment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9. Solve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10. Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10. Advanced AMPL Feature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12. 3 Example: Capacity Expansion Problem 13. Problem Definition.

AMPL is a comprehensive and powerful algebraic modeling language for linear and nonlinear op-timization problems, in discrete or continuous variables. Developed at Bell Laboratories, AMPL lets you use common notation and familiar concepts to formulate optimization models and exam-

  Programming, Linear, Lamp, Tutorials, Optimization, Tutorial of ampl for linear programming, Optimiza tion, Timization

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