OPTIMAL DESIGN OF IRRIGATION NETWORKS USING MIXED INTEGER LINEAR PROGRAMMING
B. Shahi Nejad, H.M.V. Samani, H. Mosavi Jahromi and M. Shafaei Bajestan
Abstract
The problem of selecting the best arrangement for the pipe diameters and the optimal pumping head so as
the minimal total cost to be produced, has received considerable attention many years ago by the engineers
who study hydraulic works. In this study, a mixed integer linear programming (MILP) model is presented
for optimization of pressurized branched irrigation networks. The objective function of the MILP consists
of the equivalent annual fixed cost of pipe network of the irrigation system and its annual operating energy
cost.The hydraulic constraints in the optimization problem consist of the energy conservation, nodal pressure
head and pipe flow velocity constraints. The input data are the system layout, frictional head loss,
costs of pipes in all the commercially available sizes, cost of pressure generating facilities such as pumps
and the hydraulic upper and lower bounds constraints. The output data are: optimum diameters of the
pipes, operating pressure heads, and equivalent total annual cost of the pipeline in the network. Performance
of the developed mix integer linear programming model is assessed with different design problems
of pressurized irrigation system already solved by other researchers. Solutions generated by the proposed
model in comparison with the analytical methods, linear programming and other numerical solutions
show a good performance.The proposed model has also been used for design of main and submain pipes
in a real case study. Detailed analysis of the results is reported and compared with those generated based
on trial-and-error method. The proposed method results in a reduction of 12.5% in costs.
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