A Dissertation Submitted in Partial Fulfillment of the Requirements for the Degree of Master’s in Mathematical and Computer Science and Engineering of the Nelson Mandela African Institution of Science and Technology
In this study, a model has been developed to find the minimum cost in distributing clean
water. Linear Programming (LP) technique was used to formulate the model for Dodoma
city. The developed model consists of both hydraulic and water treatment parameters. The
model was then tested with real data collected from Ihumwa water network of Dodoma city
and other treatment cost data from the literature to test the workability of the model.
Hydraulic parameters such as head loss of the pipes, flow velocity and pipe pressure are
calculated using water flow software. The resulted model was solved using lingo software by
testing different intermediate values of pressure and velocity to obtain the minimum cost of
distributing clean water. As a result, the values 650 N/m
2
and 700 N/m
2
as a maximum and
minimum pressure and 0.5m/s and 2m/s as minimum and maximum velocity give the
minimum cost of distributing clean water. Consequently, the objective value of resulted
optimization model shows that the original cost of distributing clean water was reduced by
3.48%.