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随着社会的发展教育越来越重要,学生的数量也越来越多,学生的生活成为了社会比较关注的问题,学生宿舍问题事关学生在校学习期间的生活质量,直接间接影响到学生的生活、学习以及健康成长。第一部分,利用数学建模的方法对学生宿舍设计方案进行综合的量化和评价,使用层次分析法进行数学建模,运用层次分析法定性与定量的特点,分别对经济性、舒适性、安全性三方面的子因素进行了层次分析,根据问题所提供的图表和一些学生宿舍设计方案的实际情况,建立了相关的矩阵,进行了成对比较,用了MATLAB软件进行计算,得出了在经济性方面方案一较优,在舒适性方面方案二较优,在安全性方面同样也是方案二较优。最终在综合方面方案四最优。第二部分,因考虑到层次分析法的主观性比较大,为了更客观的对四个学生宿舍设计方案进行综合量化与比较,再使用主成分分析法进行分析。
With the development of society, education is more and more important, the number of students is also increasing, and students’ lives have become the issues of concern to the society. The problem of student hostels relates to the quality of life of students during their studies in school and directly affects students directly Life, learning and healthy growth. In the first part, the method of mathematical modeling is used to quantify and evaluate the dormitory design scheme. The method of AHP is used for mathematical modeling. By using the analytic hierarchy process (AHP) qualitative and quantitative characteristics, the paper analyzes the economic, comfort, safety Three levels of sub-factors were analyzed in level, according to the chart provided by the problem and some student dormitory design, the actual situation of the establishment of the relevant matrix, a pair of comparisons, using MATLAB software to calculate, come to the economy One of the better sexual aspects of the program, in the comfort of two programs better, in terms of security is also the second best program. Finally, in the comprehensive program four optimal. The second part, in view of the subjectivity of AHP, in order to more objectively quantify and compare the design of four dormitory design, and then use the principal component analysis method to analyze.