Food Manufacturing Problem

Food Manufacturing Problem

Food Manufacturing I

If you’re hungry for a mathematical optimization challenge, then try this food manufacturing problem. You’ll learn how to create an optimal multi-period production plan for a product that requires a number of ingredients – each of which has different costs, restrictions, and features.

More information on this type of model can be found in example #1 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 253 – 254 and 296 – 298.

This modeling example is at the intermediate level, where we assume that you know Python and are familiar with the Gurobi Python API. In addition, you should have some knowledge about building mathematical optimization models.

 

Access the Jupyter Notebook Modeling Example

Click on the link 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.

 

Food Manufacturing I

 

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.


 

Food Manufacturing II

In this example, you’ll have to tackle the same problem that you did in “Food Manufacturing I,” but with additional constraints that change the problem type from a linear program (LP) problem to a mixed-integer program (MIP) problem, making it harder to solve.

More information on this type of model can be found in example #2 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 255 and 299 – 300.

This modeling example is at the intermediate level, where we assume that you know Python and are familiar with the Gurobi Python API. In addition, you should have some knowledge about building mathematical optimization models.

 

Access the Jupyter Notebook Modeling Example

Click on the link 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.

 

Food Manufacturing II

 


 

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