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Mathematical Optimization with GAMS and Pyomo (Python)

Description

This introductory course to optimization in GAMS and Pyomo (Python) accommodates 4 modules, specifically,

  • Linear programming

  • Nonlinear programming

  • Combined Integer Linear Programming, and

  • Combined-Integer Nonlinear Programming

In every module, we purpose to show you the fundamentals of every kind of optimization via 3 totally different illustrative examples and 1 assingment from totally different areas of science, engineering, and administration. Utilizing these examples, we purpose to softly introduce you to coding in two environments generally used for optimization, GAMS and Pyomo. GAMS is a licensed software program, for which we use a demo license on this course. Pyomo is an open-source bundle in Python, which we use Google Colaboratory to run. As we proceed via the totally different examples in every module, we additionally introduce totally different functionalities in GAMS and Python, together with information import and export.

On the finish of this course, it is possible for you to to,

  1. Learn an issue assertion and construct an optimization mannequin

    1. Be capable of determine the target operate, resolution variables, constraints, and parameters

  2. Code an optimization mannequin in GAMS

    1. Outline units, variables, parameters, scalars, equations

    2. Use totally different solvers in GAMS

    3. Leverage the NEOS server for optimization

    4. Import information from textual content, gdx, and spreadsheet recordsdata

    5. Export information to textual content, gdx, and spreadsheet recordsdata

    6. Impose totally different variable ranges, and bounds

  3. Code an optimization mannequin in Pyomo

    1. Outline fashions, units, variables, parameters, constraints, and goal operate

    2. Use totally different solvers in Pyomo

    3. Leverage the NEOS server for optimization

    4. Import information from textual content, gdx, and spreadsheet recordsdata

    5. Export information to textual content, gdx, and spreadsheet recordsdata

    6. Impose totally different variable ranges, and bounds



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