Optimal Location of a Hospital Facility (Case study: Amansie West District)

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The problem of locating a facility on a network to optimize certain objective criteria has been object in the past few years of growing interest for its relevance in the context of minimizing maximum travel distance between demand nodes. This thesis considers the problem of locating a semi-obnoxious facility (hospital) as a p-center problem under the condition that some existing facilities are already located in the Amansie –West District. The Berman and Drezner (2008) method was used on a 12-node network which had four existing facilities. A new facility location was added. Three sites, namely Manso Atwere, Antoakrom and Moseaso were determined by the method. Factor rating analysis was used to select Antoakrom and the distance of the farthest patient to the hospital at the new location (Antoakrom) was determined to be 8km.
A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the degree of MASTER OF SCIENCE