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研究生录取问题的双向选择策略
引用本文:操保华,陈焰周,郭兰英,高成修.研究生录取问题的双向选择策略[J].数学的实践与认识,2005,35(7):106-114.
作者姓名:操保华  陈焰周  郭兰英  高成修
作者单位:武汉大学软件工程国家重点实验室,土建学院,数学与统计学院,湖北,武汉,430072
摘    要:根据问题背景和题目要求研究了在各种不同条件下的研究生录取问题.在对笔试、面试成绩以及导师信息进行量化处理基础上设计了对应的研究生录取方案,通过构造选择矩阵和满意度矩阵建立了双向选择策略的0-1规划模型,借鉴“八皇后”算法思想,采用回溯法编程计算求解出了最优解,得到各问题的最优方案;同时采用降阶技巧和创建的定理,快速地求解出实用的较优解,得到对应较优方案.希望本文提出的解决方案对高等教育部门在高校研究生录取工作中起到一定参考作用.

关 键 词:研究生录取  双向选择策略  0-1规划模型

Two-way Selecting Strategy on Postgraduate Recruitment Problem
CAO gao-hua,CHEN Yan-zhou,GUO Lan-ying,GUO Cheng-xiu.Two-way Selecting Strategy on Postgraduate Recruitment Problem[J].Mathematics in Practice and Theory,2005,35(7):106-114.
Authors:CAO gao-hua  CHEN Yan-zhou  GUO Lan-ying  GUO Cheng-xiu
Abstract:The postgraduate recruitment problem under different conditions is analyzed in this paper according to the background and requirement of this question. Under different conditions, a two-way selecting 0-1 planning model has been put forward as well as the corresponding calculating application program on this problem. The optimum program gained from optimum solution is achieved through calculation of every question. This model has guidance to the practical math calculation and mathematical modeling of the university student.
Keywords:postgraduate recruitment problem  Two-way Selecting Strategy  0-1 planning model
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