Optimal Location of Additional Hospital Facility in Berekum Municipality

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September, 2013
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Locating a facility (resources) in order to minimize the cost of satisfying some set of demands (customers) with respect to some constraints has been under study for a long time. Several location problems have been solved using a number of mathematical models and methods. In this thesis, a determination of optimal location of additional hospital in Berekum municipality was under study. This thesis therefore considers the problem of locating a hospital facility as a – centre problem under the condition that there are some existing facilities already located in the Berekum Municipality in the Brong Ahafo Region. Berman and Drezner (2008) method was used on 19 – nodes network which had seven existing hospital facilities at Berekum, Akroforo, Namasua Abisaase, Koraso, Mpatasie, and Jininjini. An additional hospital facility using Berman and Drezner (2008) should be located at Nsapor with an objective function value of 5. The objective function value of 5 implies that the minimum distance travelled by the farthest patient to the new facility at Nsapor and any other health care centre is 5 kilometers.
A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi in partial fulfillment of the requirement for the degree of Master of Science Industrial Mathematics.