Result

Below is the results obtained based on the Lingo software where the mathematical model was embodied in a whole programming model, for get the objective value of our function.

The best cost found for the function of this problem is 265,283 USD.

Based on the best solution found in the model, the distribution of centers and the Distribution of the points is as follows.

The cities that will be destined are:

• Y1-Brossard

• Y2-Grandby

• Y9-Valleyfield

The connection they will have between her will be as follows.

• X13- The city of Brossard will attend to Brossard and Saint-Julie

• X23- The city of Grandby will attend Grandby and Sherbrooke

• X96- The City of Valleyfield will serve Valleyfield and Verdum.