Minimum connection of pipe layout system and optimal location of maintenance unit: a case study of Abuakwa Township

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Network design phase is done before laying the infrastructure. As the water supply indus-try matures, there is vital interest in good pipe network designs.The study sought to assess the causes of the numerous water supply problems faced by the Abuakwa community.To nd the optimal solution to the pipe network system for the supply path at e cient sup-ply,a solution-oriented modelling approach can help to devise e cient automatic planning and optimization schemes for Atwima Nwabiagya District.This thesis discusses how good mathematical models can be obtain for real-world problems using prim's algorithm, which model structures to minimize pipe network systems.The prim's algorithm can also help in easy and less expensive water supply especially Abuakwa in Kumasi from Owabi Dam.The prim's algorithm employed to nd the optimal solution was able to reduce the total pipe network from the original network.
A thesis submitted to the Institute of Distance Learning to the Department of Mathematics of Kwame Nkrumah University of Science and Technology in partial fulfillment of the award of Master of Science (MSc.) Industrial Mathematics