地方高校绩效评估中的数学模型  

Mathematical model of performance evaluation of local colleges and universities

作　　者：赵高长[1] 高运芳[2] 覃飞[3] 王欣[1] 周彬[1] 

机构地区：[1]西安科技大学理学院,陕西西安710054 [2]西安工业大学思政部,陕西西安710021 [3]西安科技大学教务处,陕西西安710054

出　　处：《西安科技大学学报》2015年第2期264-271,共8页Journal of Xi’an University of Science and Technology

基　　金：国家自然科学基金资助(41271518)

摘　　要：地方高校教学质量的准确评估,有助于高校之间取长补短,提高高校资源利用,引进良性竞争机制,最终实现学校整体教学水平的提高。通过对陕西省十多所地方高校广泛调研,对采集数据归类、合并,并作归一化处理,结合PCA,FCM,DEA及BMK算法提出了一种地方高校绩效评估中的数学新模型,给出了该模型的详细求解过程及算法流程,将该模型与传统模型进行了分析比较,基于FCM的优化选择算法将算法复杂度从O(2n-1)降到了O(n3),引进PCA的DEA模型与DEA-WEI模型复杂度相当。文中将网络上大学某知名排行榜的部分数据和搜集到的一些地方高校发展数据融合,经过优化整理,得到了备选标杆集的指标数据,然后利用论文所给模型借助MATLAB数学软件包在保守标杆集及积极标杆集两种情况下对这些高校作出评估,结果表明,方法简单实用、结论客观有效。论文将数据挖掘等数学方法有机融入到标杆分析中,用于地方高校绩效评估,探索出一条利用标杆分析提高高校教学管理的新思路,丰富了地方高校教学管理的理论和方法。Accurate assessment of teaching quality of local universities can contribute to the complementarity among universities,the improvement of resource utilization,the introduction of healthy competition mechanism,and the enhancement of overall teaching level of universities. Through extensive research of dozens of colleges and universities in Shaanxi province,we classify,consolidate and normalize collected data,as well as combine PCA,FCM,DEA with BMK algorithm,in order to advance a mathematical model of performance evaluation of local colleges and universities,and to provide detailed solution procedure and algorithm flow of this model. Compared with traditional model,this new algorithm based on FCM reduces algorithm complexity from O（ 2n- 1） to O（ n3）. The complexity of DEA model with PCA is equal to the complexity of DEA-WEI model. In this paper,we obtain the index data of the alternative benchmark after optimization of processing the combination of partial data from one well-known university ranking and collected data about development of local colleges. Then we utilize this model to assess universities with the help of MATLAB math package in two cases： conservative and positive benchmark sets,and the results are objective and effective. This paper organically integrates data mining and other mathematical methods into benchmarking analysis,which is applied to evaluate the performance of local colleges and universities,and explore a new idea to improve the teaching management of universities using benchmarking analysis,and to enrich the theory and method of local universities＇ teaching management.

关 键 词：主成分分析 模糊C-均值算法 数据包络分析 标杆分析法 绩效评估 

分 类 号：G47[文化科学—教育学]