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研究生录取问题的数学建模
引用本文:王红霞,朱喜林,赵丽平.研究生录取问题的数学建模[J].太原理工大学学报,2007,38(5):467-470.
作者姓名:王红霞  朱喜林  赵丽平
作者单位:1. 太原理工大学,计算机与软件学院,太原,030002;山西水利职业技术学院,山西,太原,030027
2. 山西省气象信息中心,山西,太原,030006
3. 山西省气象科学研究所,山西,太原,030002
摘    要:用层次分析法、最优匹配法和悲观-乐观型决策方法建立数学模型,解决了研究生录取中如何科学地择优录取以及使导师与学生双向选择达到最大满意度的问题。将问题中的数据表表示为矩阵形式,将每个表格作为一个矩阵或几个矩阵的和。根据使双向选择达到最大满意度的目标,用层次分析思想和Matlab软件求出模型在不同的问题中的满意度矩阵,用最优匹配法和Lingo软件通过综合考虑使理想的双向选择得以实现。

关 键 词:层次分析法  最优匹配法  悲观-乐观型决策
文章编号:1007-9432(2007)05-0467-04
修稿时间:2006-03-09

Mathematical Modeling of Recruit Graduate Students
WANG Hong-xia,ZHU Xi-lin,ZHAO Li-ping.Mathematical Modeling of Recruit Graduate Students[J].Journal of Taiyuan University of Technology,2007,38(5):467-470.
Authors:WANG Hong-xia  ZHU Xi-lin  ZHAO Li-ping
Institution:1. Computer and Software Department of TUT, Taiyuan 030024, China; 2. Shanxi Water Resources Vocational and Technical School, Taiyuan 030027, China; 3, Shanxi Province Meteorological Information Center, Taiyuan 030002, China ; 4, Shanxi Province Meteorological Institute, Taiyuan 030002, China
Abstract:Based on level analytical method,best matching method and pessimism-optimism decision-making method,this paper gives the answer of choose the best graduate student from candidates and makes a reasonable matching between tutors and graduate students.The data is expressed as matrix and matrixes are expressed as tables.In order to getting the max satisfaction goal of choosing and matching,this paper uses the method of level analytical and the software of Matlab to get the satisfaction matrix in different problems,and uses the method of best matching and the software of Lingo to achieve the goal of the reasonable matching.
Keywords:level analytical method  best matching method  pessimism-optimism decision-making method  
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