中国科学技术大学学报 ›› 2016, Vol. 46 ›› Issue (11): 939-945.DOI: 10.3969/j.issn.0253-2778.2016.11.009

• 论著 • 上一篇    

基于DEA的并联生产系统效率评价与资源分配

柴磊,赵定涛   

  1. 中国科学技术大学管理学院,安徽合肥 230026
  • 收稿日期:2015-10-25 修回日期:2016-04-10 接受日期:2016-04-10 出版日期:2016-04-10 发布日期:2016-04-10
  • 通讯作者: 赵定涛
  • 作者简介:柴磊,男,1991年生,硕士. 研究方向:金融工程. E-mail: cl2009gy@mail.ustc.edu.cn
  • 基金资助:
    国家自然科学基金(71522013)资助.

Efficiency evaluation and methods of resource allocation of parallel production system based on DEA

CHAI Lei, ZHAO Dingtao   

  1. School of Management, University of Science and Technology of China, Hefei 230026, China
  • Received:2015-10-25 Revised:2016-04-10 Accepted:2016-04-10 Online:2016-04-10 Published:2016-04-10

摘要: 为研究并联生产系统的效率评价与资源分配问题,基于DEA模型测算了银行的服务部门和销售部门的效率,并探索了传统的含有共享资源的DEA并联生产系统中分配系数的分配原理,满足总体效率最大化的机制,这是一种DEA方法对共享资源在并行生产系统间分配方式的透析与解释.结果表明:一、当最大化总体效率时,总体的效率值是最优分配系数下两个子单元效率值的凸组合;二、当最大化总体的效率时,效率得分与最大化的总体效率得分相等的那个子单元,它的效率恰好达到了自身的最大化效率.此时DEA有效率的子单元分得了共享资源的全部,DEA无效率的子单元一无所有.

关键词: 数据包络分析(DEA), 并联生产系统, 效率, 共享资源, 资源分配系数(RAP), 线性化

Abstract: To study the efficiency evaluation and resource allocation of parallel production system, the efficiency of service departments was calculated and the principle of allocation about shared resources in DEA parallel system, or the mechanism satisfying the maximization of overall efficiency, was explored. This is an indepth analysis and explanation of how to allocate shared resources in parallel production system with the methods of DEA. The results indicate that: firstly, when maximizing overall efficiency, the overall efficiency score is a convex combination of efficiency scores of two sub units under the optimal allocation coefficient; secondly, when maximizing overall efficiency, the sub unit whose efficiency score is equal to the overall efficiency reaches its own maximum efficiency. At this time, the efficient sub unit by DEA is allocated all of the shared resources, while the inefficient one gets nothing.

Key words: data envelopment analysis (DEA), parallel production system, efficiency, shared resource, resource allocation parameters (RAP), linearize

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