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Design of optimal irrigation networks
Author(s) -
Theocharis Menelaos E.,
Tzimopoulos Christos D.,
Yannopoulos Stavros I.,
SakellariouMakrantonaki Maria A.
Publication year - 2006
Publication title -
irrigation and drainage
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 38
eISSN - 1531-0361
pISSN - 1531-0353
DOI - 10.1002/ird.214
Subject(s) - nonlinear programming , nonlinear system , mathematical optimization , computer science , mathematics , linear programming , algorithm , physics , quantum mechanics
The problem of selecting the best pattern of pipe diameters of an irrigation network has long been given considerable attention by engineers when designing hydraulic works. The classical optimization techniques, which have been proposed until now, are the following: (1) the linear programming method; (2) the nonlinear programming method; (3) the dynamic programming method; and (4) Labye's method. Mathematical research of the problem, using the previous methods, is very complex, and for this reason the numerical solution calls for a lot of calculations, especially in the case of a network with many branches. In this study, the formulation of a new simplified nonlinear programming method is presented, which can replace the existing ones with the best results. A comparative evaluation between the proposed simplified method and the general nonlinear programming method in a particular irrigation network is also developed. The results of the proposed simplified method are fully identical with the results of the nonlinear programming method. Consequently, this method can be equally used for the classical methods. Copyright © 2006 John Wiley & Sons, Ltd.