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| Application of particle swarm with linearly decreasing weight optimized projection pursuit model |
| DONG Lili1, YU Miao2, XU Shuqin3 |
| 1.Harbin Institute of Water Resources Co., Ltd., Harbin, Heilongjiang 150000, China; 2.Shandong L黬ing Soil and Water Conservation Engineering Design & Consulting Co., Ltd, Jinan, Shandong 250101, China; 3.College of Water Conservancy and Civil Enginee-ring, Northeast Agricultural University, Harbin, Heilongjiang 150030, China |
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Abstract To overcome the lower local search ability and the problem of premature convergence in particle swarm optimization, and efficiently control the global and local search of particle swarm optimization, particle swarm optimization with linearly decreasing weight was proposed. It started from random solutions, which followed the current search for the optimal value to find the global optimum, increased the local search ability of the algorithm. By optimizing the algorithm with the projection pursuit model, particle swarm with linearly decreasing weight optimized projection pursuit model was established. The model was applied to optimize evaluation of dam slope protection, 9 indicators reselected as evaluation factors;as a result, an area-suitable optimization model of dam slope protection was proposed. The results show that using particle swarm with linearly decreasing weight optimized projection pursuit model can effectively find the best projection direction, and calculate projection values. According to the size of the projection index value the program can be optimized. It is feasible for comprehensive evaluation of dam slope protection mode. The advantage of this algorithm is its ease of implementation, high accuracy, fast convergence, and its superiority is demonstrated in solving practical problems, therefore it can be widely used in the field of engineering optimization.
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Received: 19 May 2015
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| [1]聂欣岩. 干砌石护坡与混凝土护坡在堤防加固中的应用比较[J].中国水利,2006(16):38-39. NIE Xinyan. Comparison of dry stone pitching and masonry revetment in dyke reinforcement [J].China water resources, 2006(16):38-39.(in Chinese)[2]黄奕龙.日本河流生态护岸技术及其对深圳的启示[J].中国农村水利水电,2009(10):106-108. HUANG Yilong. Ecological embankment in Japan and its application in Shenzhen [J].China rural water and hydropower, 2009(10):106-108.(in Chinese)[3]KENNEDY J, EBERHART R C. A discrete binary version of the particle swarm algorithm[C]//Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 1997,5:4104-4108.[4]SHI Yuhui, EBERHART R. A modified particle swarm optimizer [C]//Proceeding of the IEEE International Conference on Evolutionary Programming Piscataway, NJ: IEEE Press, 1998:69-73.[5]ANGELINE P J. Using selection to improve particles swarm optimization [C]//Proc of the IEEE International Conference on Evolutionary Computation Piscataway, NJ:IEEE Service Center,1998:84-89.[6]KENNEDY J, EBERHART R C. Particle swarm optimization [C]//Proceedings of IEEE International Conference on Neural Networks.USA: IEEE Press, 1995, 4:1942-1948.[7]EBERHART R C, KENNEDY J.A new optimizer using particle swarm theory [C]//Proceedings of the Sixth International Symposium on Micro Machine and Human Science. Nagoya, Japan: IEEE Press, 1995:39-43.[8]EBERHART R C, SIMPSON P K, DOBBINS R W. Computational intelligence PC tools [M].Boston, MA: Academic Press Professional,1996.[9]DUAN Yuhong, GAO Yuelin, LI Jimin. A new adaptive particle swarm optimization algorithm with dynamically changing inertia weight [J]. Intelligent information management systems and technologies, 2006, 2(2):245-255.[10]代军,李国,徐晨,等.一种新的粒子群优化算法[J].计算机工程,2010,36(9):192-194. DAI Jun, LI Guo, XU Chen, et al. New particle swarm optimization algorithm [J].Computer engineering, 2010, 36(9):192-194.(in Chinese)[11]王俊伟,汪定伟.粒子群算法中惯性权重的实验与分析[J].系统工程学报,2005,20(2):194-198. WANG Junwei, WANG Dingwei. Experiments and ana-lysis on inertia weight in particle swarm optimization[J].Journal of systems engineering, 2005,20(2):194-198.(in Chinese)[12]张龙,王华奎.粒子群优化算法中惯性权重的研究[J].机械管理开发,2008,23(6):6-7. ZHANG Long, WANG Huakui. Research on inertia weight in particle swarm optimization[J].Mechanical management and development,2008,23(6):6-7.(in Chinese)[13]付强,赵小勇.投影寻踪模型原理及其应用[M].北京:科学出版社,2006.[14]张玉清,宓永宁,王铁良,等.综合评分法在护坡方案优选中的作用[J].中国水土保持,2008(8):8-10. ZHANG Yuqing, MI Yongning,WANG Tieliang,et al. Application of comprehensive scoring method in slope protection scheme optimization [J].Soil and water conservation in China, 2008(8):8-10.(in Chinese)[15]胡兴,陈璋,李成俊,等.植物护坡工程质量的等级评价研究[J].水土保持通报,2013,33(3):180-185. HU Xing, CHEN Zhang, LI Chengjun, et al. Grade evaluation on quality of slope protection engineering by vegetation[J].Bulletin of soil and water conservation, 2013,33(3):180-185.(in Chinese) |
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