中文摘要：

本文研究了一类典型并行系统的效率评价问题：（1）决策单元由两个并行的子单元组成;（2）在整个系统中,某一子单元居于主导地位,另一子单元居于从属地位;（3）两个子单元之间存在部分共享的投入资源,且无法明显区别该资源在不同子单元之间的分配比例。在分析决策单元整体效率及内部子单元效率的基础上,基于主从博弈思想,提出一种能同时确定系统整体效率及内部子单元效率的评价方法,该方法能够在评价系统效率的同时,实现共享资源的有效分配。最后,采用一个实例分析说明了所提方法的合理性和有效性。

英文摘要：

There exists a typical kind of efficiency evaluation problem for parallel systems, which has the following characteristics. Firstly, decision making unit （DMU） has two parallel components. Secondly, in any DMU, a component is in a dominant position, and another component living in a subordinate position. Lastly, some input resources are shared between two components and cannot be proportionally differentia- ted with each other. To address this kind of efficiency evaluation problem, a DEA approach is proposed to determine the efficiency of the overall system and interi~al components by analyzing the overall efficiency of the DMU and individual efficiency of each component, based on Stackelberg game theory. The proposed approach can not only evaluate the efficiencies of the whole system and its components, but also provide the allocation mechanism of the shared resources. A case of bank branches is presented to demonstrate the rationality and validity of the proposed approach.