Model of a drip irrigation network based on graphs and its application to the irrigation distribution through an optimizating algorithm
Keywords:
Hydraulic network graph, fertigation distribution, Cuckoo searchAbstract
The model for a hydraulic system of a crop with drip irrigation based on directed acyclic graphs and its application on an optimization algorithm in order to find the distribution of an irrigation-fertigation program is proposed. This was done as follows. A crop and its hydraulic network were characterized and represented on a graph. The adjacency matrix was obtained and was transformed into a node and time matrix to be posed as the network model. A program with two functions that used the model found in conjunction with the cuckoo search algorithm was elaborated in order to find a distribution and its corresponding mistake in an irrigation and fertigation sheet. The found distribution was compared with another empirically made distribution. As a result, an efficient model which allows exemplifying the parameters of the hydraulic network, an optimal distribution and a solution to the problem of the irrigation and fertigation programming distribution was obtained.
Article Metrics
Abstract: 721 PDF (Español (España)): 354References
Euler, L. Solutio Problematis ad Geometriam Situs Pertinentis. Comment. Acad. Sci. I. Petrop 8, 128-40, 1741 (Reimpreso en Opera Omnia Series Prima, Vol. 7. pp. 1-10, 1766).
Portugal, D., y Rocha, R. Msp. Algorithm: Multirobot
Patrolling Based on Territory Allocation Using Balanced Graph Partitioning. Proceedings of the ACM Symposium on Applied Computing.1271-1276, 2010.
Yang, X. S., y Deb, S. Engineering Optimisation by Cuckoo Search. International Journal of Mathematica Modelling and Numerical Optimisation, 1(4), 330-34, 2010.
Deuerlein, J. W. Decomposition Model of a General Water Supply Network Graph. J. Hydraul. Eng., 134(6), 822-832, 2008.
Johnsonbaugh, R. Matemáticas discretas. Pearson Educación, México, 2005.
Preparata, F.P. y Shamos, M. Computaional Geometry. An Introduction. Springer-Verlag, New York, 1985.
Gómez, E. Algunos Aspectos en el Diseño Hidráulico y Económico de Redes en Sistemas de Riego por Goteo., 8 (39), 1984. Rev. Ingeniería e Investigación
Cuckoo Search (CS) Algorithm by Xin-She Yang and Suash Deb. Disponible en: http://www.mathworks.com/matlabcentral/fileexchan
ge/29809-cuckoo-search--cs--algorithm/content//cuckoo_search_new.m [consultado el 11 de mayo de 2015].
_
