Design of a successful and efficient surface irrigation system involve
s land grading as its first step. Land grading is also an effective me
thod for efficient surface drainage. In this research, a nonlinear opt
imization model based on genetic algorithms is developed for land grad
ing design of irregular fields. The model can be used to obtain plane
as well as curved surfaces. In contrast to the available models, the p
roposed optimization model employs an objective function in which the
total volume of earth in cut is minimized. The proposed formulation el
iminates the need for parallel shifting of an optimal graded surface b
y trial and error to adjust the cut-to-fill ratio to a desired value.
This is achieved by imposing a constraint on the cut-to-fill ratio. By
eliminating the need for such parallel shifting, the optimality of th
e graded surface is kept undisturbed. Constraints may also be imposed
on the shape of the graded surface, slopes of the surface in either di
rection, elevation of the surface at turnout, and at any other points.
The developed optimization model is applied for grading an irregular
field, which appeared in several previous publications concerning land
grading design. The results indicate efficiency and robustness of the
developed model.