Evaluating projection pursuit model of irrigation district based on ant colony optimization algorithm for continuous domains
Fei Liangjun1, Sun Jie1,2, Ren Changjiang1, Xie Fang1
1. Institute of Water Resources and Hydro-electric Engineering, Xi′an University of Technology, Xi′an, Shaanxi 710048, China; 2.Xi′an Research Institute, China Coal Technology and Engineering Group, Xi′an, Shaanxi 710077, China
There exist two limitations in ant colony optimization algorithm for continuous domains, namely the model parameters must be in the range of 0 to 1 and the algorithm fails to search a potential optimal function value between nodes. Therefore two updates are proposed to remove the limitations,(1)modify the decoding formula to expand the parameter domain into the whole real number domain,(2)use a 3D table-T(m×d+m+1,10)to search an optimum function, and 10×m-10 node ci-ties are reduced compared with the original 2D table-T(m,d+2,10). In the improved algorithm, the number of nodes has been reduced and invalid search paths have been removed, causing greatly shortened computational time and improved accuracy. In addition, the improved algorithm is introduced into the projection pursuit model and the weight coefficients of various indices are obtained based on Jiaokou Irrigation District of River Wei in Guanzhong Plan of Shanxi Province. It was turned out that the comprehensive projections are 1.353 1(1999), 2.074 7(2005), 2.502 2(2008)and 2.403 9(2011), and the operation situation of the district falls into fair, fair, good and good category, respectively in those years. Except 2011, the district performed better and better as time went on. These evaluating results match the actual situation quite well.
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