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非独立并联生产系统的DEA效率评价研究

ISSN号：1007-9807
期刊名称：管理科学学报
时间：2012
页码：20-25
分类：N945.16[自然科学总论—系统科学]
作者机构：[1]中国科学技术大学管理学院,合肥230026, [2]合肥工业大学人文经济学院,合肥230009
相关基金：基金项目：国家自然科学基金创新群体资助项目（70821001）;国家自然科学基金资助项目（70801056）;国家自然科学基金资助项目（71090400,71090401）.
相关项目：网络环境下服务运作优化与协调研究

关键词：数据包络分析, 并联, 非独立, 效率评价, data envelopment analysis（ DEA）, parallel, non-independent, effiviency evaluation

中文摘要：

对复杂生产系统进行效率评价，是改善其生产效率的基础．针对非独立并联结构生产系统的效率评价问题开展研究．首先，将两阶段非独立并联生产系统等价为先并联后串联结构的混联生产系统；其次，将混联生产系统的整体效率定义为各串联子系统效率的乘积，而各个串联子系统的效率则定义为内部各并联子系统效率的加权和，并给出了对应的DEA效率评价模型；最后，有关定理和算例分析证实了该模型能更合理地评价此类生产系统的技术效率，能够更大程度地挖掘系统整体性能改善的潜力．

英文摘要：

DEA efficiency evaluation of complex production systems is an important tool to help to improve the operational efficiency. The current paper focuses on the efficiency evaluation problem for non-independent par- allel production systems. Firstly, the two-stage non-independent parallel production system is equivalent to be treated as an integrated system which consists of first-level serial subsystems and second-level parallel subsys- tems. Secondly, the efficiency score of the integrated of the first-level serial subsystems, and the efficiency system is defined as the product of the efficiency scores score of the first-level serial subsystem is defined as the weighted sum of the efficiency scores of the second-level parallel subsystems. The corresponding DEA efficien- cy evaluating model is also proposed. Finally, the related theorems and a numerical example illustrate that the proposed model can rate the technique efficiencies more reasonably and can find out the potential for system improvement more greatly.