Using the 2010 MI data.grt file (for the 2010 census data for the 83 counties in Michigan)
(a) Find the optimal 5-median solution using SITATION. Where do you locate facilities? What is the demand-weighted total distance? What is the demand-weighted average distance?
(b) Use SITATION to find the site whose removal would result in the largest increase in the total demand-weighted distance. Plot a pareto chart showing the counties on the X-axis and the percentage increase in the demand-weighted total distance on the Y-axis. Which is the most critical county?
(c) Use SITATION to plot a map of the populations of the 83 counties. Does the result of part (b) make sense in light of the county populations?
(d) Find the cost (the demand-weighted total distance) if an interdictor can destroy two of the five sites, for each of the 10 combinations of two out of five sites being destroyed.
(e) Use the results of part (d) to find the optimal site to defend, if the interdictor can destroy two sites. What will the new demand-weighted total cost be after the destruction of two of the remaining four sites?
(f) Use the results of part (d) to find the optimal two sites to defend, if the interdictor can destroy two sites. What will the new demandweighted total cost be after the destruction of two of the remaining three sites?