Assignment 2

You should receive a copy of the newhaven.gms file containing a model for this case. Use this model to perform the following.

1. Run the model for all combinations of the following parameter values: ETOL = 5%, 10%, 20%, and 30%; ITOL = 10%, 20%, 30%, and %.
2. Create a table of the following form for each value of ITOL:  

   

3. Use the data from 2 to create a graph as follows: the horizontal axis is the value of ITOL, the vertical axis is the total busing distance, and there is a separate line for each value of ETOL.
4. Modify the model to create a multi-objective representation, as follows.
   • Include one or more deviation variables from the enrollment targets for each school
   • Define one or more variables representing deviations from the minority percentage targets at each school
   • Redefine the objective function to be of the form: Minimize (total distance traveled) + (total enrollment deviation) + (total integration deviation)
5. Solve the new model using various weight combinations, including minimizing each objective separately and create a table of the form: