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基于非负矩阵分解的水量分配方案后评价
作者姓名:胡铁松  张兵堂  程晓峰  熊威
作者单位:武汉大学 水资源与水电工程科学国家重点实验室,武汉,430072
基金项目:湖北省水利重点科研项目(HBSLKY201612)
摘    要:提出了水量分配方案后评价指标体系,建立了基于非负矩阵分解的水量分配方案后评价模型,并以1983年国务院批复的引滦水量分配方案为研究对象进行了水量分配方案诊断式后评价。该方法利用非负矩阵分解算法将指标矩阵最大程度分解为基向量和权向量,根据权向量元素的数值对水量分配方案进行评级,根据基向量元素的数值判断评价指标的实施状况。通过对引滦水量分配方案质量、实施过程、实施效果和可持续性的调查分析,得出方案综合后评价结果为优,但在来用水可持续性、对水环境影响及水质目标保证率等方面需加以改进。评价结果表明,基于非负矩阵分解原理的后评价方法评价效果较好,可为水量分配方案等项目的后评价提供科学依据。

关 键 词:水量分配  后评价  指标体系  非负矩阵分解  引滦水量分配

Post-evaluation of water allocation based on non-negative matrix factorization
Authors:HU Tie-song  ZHANG Bing-tang  CHENG Xiao-feng  XIONG Wei
Affiliation:State Key Laboratory of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China
Abstract:Based on establishing an evaluation index system, this paper developed a new post-evaluation model based on non-negative matrix factorization (NMF) for diagnostic evaluation. The model uses NMF to decompose the data matrix in to the base vector and the weight vector to the largest approximation degree. Then the base vector is taken as an assessment basis of the evaluation index, and the weight vector is used for grading the evaluation scheme. This model is applied to evaluate the water allocation scheme for Luanhe River from perspectives of scheme quality, implementation process, implementation effect and sustainability. The overall evaluation grade of the scheme is excellent, but there is still room for improvement regarding water sustainability, impact on the water environment, guarantee rate of water quality targets and so on. Results show that the post-evaluation model based on NMF can produce satisfactory outcomes of the post-evaluation considering the system as a whole.
Keywords:water allocation  post-evaluation  index system  non-negative matrix factorization  Luanhe River water diversion
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