Suppose that we are in charge of generating power for the U.S. State of Georgia. Assume that we know the set of all available power plants and the demand for power for each hour of a day. Can we create a schedule to decide how much power each plant should generate, and when to switch the plants “on” and “off”? How can we do so while minimizing the overall costs?

In this notebook, we model this decision-making problem using mathematical optimization. In this power generation problem, the objective is to minimize the overall costs. The decision variables model the power generation schedule. The constraints capture basic requirements such as ensuring that the power supply meets the demand, as well as practical limitations such as the minimum and maximum production levels for each power plant. By finding the optimally cost-efficient schedule, this model helps power plant operators get the best output from their facilities while minimizing the overall costs.

This modeling tutorial is at the introductory level, where we assume that you know Python and that you have a background on a discipline that uses quantitative methods.

You may find it helpful to refer to the documentation of the Gurobi Python API.

#### Access the Jupyter Notebook Modeling Example

Click on the button below to access the example in Google Colab, which is a free, online Jupyter Notebook environment that allows you to write and execute Python code through your browser.

#### How to Run the Jupyter Notebook Modeling Example

• To run the example the first time, choose “Runtime” and then click “Run all”.
• All the cells in the Jupyter Notebook will be executed.
• The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models.
• You can also modify and re-run individual cells.
• For subsequent runs, choose “Runtime” and click “on “Restart and run all”.
• The Gurobi Optimizer will find the optimal solution of the modeling example.

Check out the Colab Getting Started Guide for full details on how to use Colab Notebooks as well as create your own.

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