Furthermore, see that in our above definition of the facility location problem that the objective function formula_76 is general. Specific choices of formula_76 yield different variants of the facility location problem, and hence different variants of the centroid-based clustering problem. For example, one might choose to minimize the sum of distances from each location to each of its assigned demand points (à la the Weber problem), or one might elect to minimize the maximum of all such distances (à la the 1-center problem).