Location of an additional police station in Afigya Kwabre District using the conditional p-median approach
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Date
2015-11-18
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Abstract
This study focuses mainly on conditional facility location problems on a network.
This thesis discuss the conditional p–median problem on a network. Demand
nodes are served by the closest facility whether existing or new. The thesis
considers the problem of locating a police station facility (non–obnoxious facility)
as a conditional p – median problem, thus some existing facilities are already
located in the district. This thesis uses a new formulation algorithm for the
conditional p- median problem on a network which was developed by Oded
Berman and Zvi Drezner (2008) to locate an additional police station in Afigya
Kwabre district. A 26 node network which had five existing police facilities
was used. The result indicated that additional police station should be located
at Nanso (node 21) with an optimal objective function value of 62292. The
additional facility at Nanso will largely help reduce the pressure on the existing
police stations and improved the security of the residents in the district.
Description
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 in Industrial Mathematics.