Sensitivity and Duality Analyses of an Optimal Water Treatment Cost Model for Ghana (Published)
In this paper, sensitivity and duality analyses have been performed on our earlier developed optimal water treatment cost model for Ghana. Linear Programming was used to formulate the model and tested with real data collected from Weija Water Headworks in Accra using Interior-Point Method to obtain solutions. The effects of variations of selected key parameters on the developed model have now been investigated. Marginal costs of water production in the selected water headworks have also been found. It is strongly recommended that all Water Headworks under Ghana Water Company Limited (GWCL) should employ at least one Operations Researcher to assist them in some of these post-optimality analyses.
Keywords: Duality Analysis, Interior-Point Method., Linear Programming, Optimal Water Treatment Cost Model, Sensitivity Analysis
MATHEMATICAL MODEL OF HIV/AIDS AT TECHIMAN MUNICIPALITY, GHANA (Published)
The study examined the prevalence of HIV/AIDS in the Techiman Municipality of Ghana. We used model with standard incidence to analyze, model and predict the prevalence of HIV/AIDS in the Techiman Municipality. The model has two equilibrium states: the disease-free equilibrium and the endemic equilibrium states respectively. The stability condition of each equilibrium point is discussed. The basic reproductive number ( ) of HIV/AIDS infection is estimated to be in the Techiman Municipality. Our work shows that the reproductive number of HIV/AIDS infection in the Techiman Municipality is less than 1( ) and therefore concluded that the disease is not epidemic in the municipality as described by the GAC in their study in 2005. We recommend that education on HIV/AIDS in the municipality should be intensified so as to decrease the rate of transmission of HIV in the municipality.
Keywords: Equilibrium points, Mathematical model, Model, Sensitivity Analysis, Stability analysis