Application and extension of the Moore and ReVelle Hierarchical Maximal Covering Model

In a paper published in Management Science in 1982, George Moore and Charles ReVelle proposed a location model for siting a hierarchical system of medical facilities. In this paper we apply the Moore and ReVelle Hierarchical Maximal Covering Model to the location of medical facilities in the Kohat district in Pakistan. Optimal solutions of the Moore and ReVelle model are compared against the actual location of medical facilities in this district. We then extend the Moore and ReVelle formulation to include fixed and variable costs for siting and operating the facilities. We compare the solutions of that formulation with the results of the original Moore and ReVelle model.