A Mathematical Model of Project Selection under Multi-Period Capital Rationing: Case Study of Offinso Municipal Assembly Projects in Ghana

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Project selection is the process of choosing a project or set of projects to be implemented by an organization. Since projects in general require a substantial investment in terms of money and resources, both of which are limited, it is of vital importance that the projects that an organization selects provide good returns on the resources and capital invested. This requirement must be balanced with the need for an organization to move forward and develop. This research work is concerned with the use of Mathematical models, specifically, Integer Programming (IP)and Linear Programming (LP) formulations, for the purpose of selecting feasible projects and maximizing the returns from the batch of projects of some District Assemblies (DAs) and Municipal Assemblies (MAs) in Ghana. The research work was a case study of Offinso Municipal Assembly‟s projects in Ghana. In these models, we maximize the Net Present Value(NPV) and maintain the net discount cash inflow for each project in each period. Sensitivity analysis on the project parameters were also carried out to test the extent to which project selection is sensitive to the changes in the parameters of the models. These facts are supposed to give the Offinso Municipal Assembly (OMA) management some guidance in their considerations of various alternatives with regards to the limited investment capital.
A thesis Submitted to the Institute of Distance Learning, Kwame Nkrumah University of Science and Technology in Partial Fulfillment of the Requirements for the Award of the Master of Science Degree in Industrial Mathematics.