基于非线性拟合投影寻踪模型和加速遗传算法通过Logistic回归分析一个地区供水能力
A Regional Water Supply Capacity Based on the Nonlinear Fitting of Projection Pursuit Model and Accelerating Genetic Algorithm by Logistic Regression Analysis
摘要: 本文围绕“水资源短缺及地区供水能力”问题,运用主成分分析法选取指标。建立一次线性函数规划模型和投影寻踪模型,计算得到供水能力,并用二级模糊综合评价模型Delphi法评定权重。利用logistic模型得到了地区的水状况,并且描述了这种状况对该地区公民生活的影响。本文以研究水资源供需指标体系为主线,通过对模型的精确求解,得出研究地区提供洁净水能力的等级水平、还研究了是否缺水,提出了解决缺水问题的具体措施。最后,将这个数学模型推广应用到全球,为解决全球缺水做出贡献。
Abstract: This paper studies the problem of the sustainable development of regional water resources, the evaluation of the regional water supply ability; we used principal component analysis (PCA) to affect the physical and economic indicators of water filter, using a function model of calculating water supply capacity and projection pursuit model, the secondary fuzzy comprehensive evaluation model to assess the weights. This paper uses the logistic model to obtain water conditions in the region, and describes the impact that this situation has on the civic life in the region. This paper studies the index system of supply and demand of water resources as the main line, through the precise solution of the model; the region's ability of providing clean water levels was concluded, it also studied the water shortage, put forward the specific intervention plans to solve the problem of water shortage.
文章引用:吴健宇, 苗帅, 张荣荣, 张卓. 基于非线性拟合投影寻踪模型和加速遗传算法通过Logistic回归分析一个地区供水能力[J]. 应用数学进展, 2017, 6(4): 599-610. https://doi.org/10.12677/AAM.2017.64070

参考文献

[1] Hashimoto, T., Stedinger, J.R. and Loueks, D.P. (1982) Reliability, Resiliency and Vulnerability Criteria for Water Resources System per formance Evaluation. Water Resources Research, 18, 14-20. [Google Scholar] [CrossRef
[2] 李建明, 谌黔鸣. n维空间中可连续变化的标准正交基的构造与投影追踪[J]. 贵州工学院学报, 1996(6): 24-28.
[3] 裴丽萍. 水资源市场配置法律制度研究——一个以水资源利用为中心的水权制度构想[M]//环境资源法论丛第一卷, 北京: 法律出版社, 2001: 131.
[4] Bagel, M.S., Das Gupta, A. and Nayak, D.K. (2005) Amodelfor Optimal Allocati on of Water to Competing Demands. Water Resources Management, 19.
[5] National Agricultural Commission. Technical Specification for Land Use Survey. Publishing House of Surveying and Mapping, Beijing, 1984.