Location of a Library in Sunyani Municipality using The Planar K-Centra Single-Facility Euclidean Location Algorithm.

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The Planar k-Centra Single-Facility Euclidean Location Algorithm was used to strategically locate a library in the Sunyani Municipality which will be closer to the k-50 farthest towns and suburbs. One hundred rectangular co-ordinates were generated for 100 towns and suburbs in the Municipality as the inputs for the algorithm. Matlab codes were used to run the algorithm. The algorithm generated (406647.9km , 935589.2km) as the optimal point with 1811500km as its objective function value(The sum of the distances of 50 farthest locations away from the optimal location). Hence the proposed community for the library is Benu No. 2.
A thesis to be 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.