# Vehicle Rental Optimization I and II

### Vehicle Rental Optimization I

Boost your modeling skills with this example, which will teach you how you can use mathematical optimization to figure out how many cars a car rental company should own and where they should be located every day to maximize weekly profits.

This model is example 25 from the fifth edition of Model Building in Mathematical Programming by H. Paul Williams on pages 284-286 and 340-342.

This example is at the intermediate level, where we assume that you know Python and the Gurobi Python API and that you have some knowledge of 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.

Vehicle Rental Optimization 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.

#### Vehicle Rental Optimization II

In this example, which is an extension of Vehicle Rental Optimization I, you’ll see how mathematical optimization can be used to figure out in which locations a car rental company should expand repair capacity. We’ll guide you through the process of creating a mixed integer linear programming model of this problem using the Gurobi Python API and then show you how you can find an optimal solution with the Gurobi Optimizer.

This model is example 26 from the fifth edition of Model Building in Mathematical Programming by H. Paul Williams on pages 287 and 342-343.

This example is at the intermediate level, where we assume that you know Python and the Gurobi Python API and that you have some knowledge of 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.

Vehicle Rental Optimization II