基于合作博弈的招生计划分配优化模型研究

魏针,李登峰

系统科学与数学 ›› 2018, Vol. 38 ›› Issue (10) : 1160-1171.

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PDF(617 KB)
系统科学与数学 ›› 2018, Vol. 38 ›› Issue (10) : 1160-1171. DOI: 10.12341/jssms13464
论文

基于合作博弈的招生计划分配优化模型研究

    魏针1,2,李登峰1
作者信息 +

A Study on Optimization Model of Enrollment Plan Allocation Based on Cooperative Game

    WEI Zhen 1,2 , LI Dengfeng1
Author information +
文章历史 +

摘要

招生计划编制是落实高等教育改革和调整人才结构的重要手段. 针对招生计划编制过程 中招生计划分配的合理性和有效性难题, 提出一种招生计划分配的优化模型.首先, 建立招生计划分配的高校综合评价指标体系, 并采用相对比值法评价该体系, 得到的相对比值反映高校综 合办学水平.其次, 将相对比值这个评价结果作为招生计划分配规则的影响因子, 将招生计划分配归结为带影响因子的破产问题, 采用有限制等损规则分配招生计划. 实例分析说明, 文章的优化模 型具有良好的优越性和可操作性. 研究结果可为省级教育行政部门的招生计划编制工作提供指导依据.

Abstract

The enrollment plan allocation plays an important role in implementing the reform of higher education and adjusting the structure of qualified personnel in society. An optimization model is proposed in order to improve the rationality and validity in the enrollment plan allocation. Firstly, a comprehensive evaluation system, consisting of ten indexes, is established in enrollment plan allocation. Then the compromise ratio method is used to evaluate this system by transforming the ten indexes into compromise ratio values, which reflect the comprehensive level of colleges. Secondly, the provincial college enrollment plan allocation is regarded as the bankruptcy problem with compromise ratio values. A bankruptcy model is proposed by using the weighted constrained equal awards rule. The case analysis shows that the results of recruitment allocation deduced from allocation model employed in this study are in consistent with the actual allocation results, which shows the superiority and operability of this method. This study provides references for the provincial education administrative departments in college enrollment plan allocation process.

关键词

招生计划 /   / 合作博弈 /   / 破产问题 /   / 相对比值法.

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魏针 , 李登峰. 基于合作博弈的招生计划分配优化模型研究. 系统科学与数学, 2018, 38(10): 1160-1171. https://doi.org/10.12341/jssms13464
WEI Zhen , LI Dengfeng. A Study on Optimization Model of Enrollment Plan Allocation Based on Cooperative Game. Journal of Systems Science and Mathematical Sciences, 2018, 38(10): 1160-1171 https://doi.org/10.12341/jssms13464
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