Factory Planning Problem I and II

In this factory planning problem, also known as a production planning problem, we create an optimal production plan to maximize profit.

Factory Planning I

This model is an example of a production planning problem. In such problems, the goal is to create an optimal production plan to maximize profit.

More information on this type of model can be found in example # 3 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 255 – 256 and 300 – 302.

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.

 

Request a Gurobi Evaluation License or Free Academic License

Modeling examples are coded using the Gurobi Python API in Jupyter Notebook. In order to use the Jupyter Notebooks, you must have a Gurobi License. If you do not have a license, you can request an Evaluation License as a Commercial User or download a free license as an Academic User.

 

Commercial Users: Free Evaluation Version Academic Users: Free Academic Version

Access the Jupyter Notebook Modeling Example

Click on the button below to be directed to GitHub where you can download the repository for the Factory Planning I Jupyter Notebook modeling example.

 

Factory Planning I

 


 

Factory Planning II

This model extends the Factory Planning I example above to add complexity whereby the month where each machine is down will, instead of being fixed, be determined as a part of the optimized plan.

More information on this type of model can be found in example # 4 of the fifth edition of Modeling Building in Mathematical Programming by H. P. Williams on pages 256 and 302 – 303.

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 button below to be directed to GitHub where you can download the repository for the Factory Planning II Jupyter Notebook modeling example.

 

Factory Planning II

 


 

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