Cross efficiency measurement and decomposition in two basic network systems
Cross efficiency measurement and decomposition in two basic network systems
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DOI：
10.1016/j.omega.2018.02.004
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发表时间：
2019-03-01
影响因子：
6.9
通讯作者：
Liu, Shiang-Tai
中科院分区：
文献类型：
--
作者：
Kao, Chiang;Liu, Shiang-Tai
数据包络分析(DEA)技术使用每个决策单元(DMU)的最有利权重来计算效率。因此，由此产生的效率分数是无与伦比的，很难区分。这一现象对于网络系统来说更为突出，除了系统之外，还涉及到组件部门的排名。本文应用交叉评价的思想，对网络系统的两种基本结构--串联和并行--的效率进行了度量。交叉评价已被证明是对作为一个整体的系统进行决策单元排序的一种有效方法。该模型能够将系统的交叉效率度量分解为串联结构的交叉效率度量和并行结构的加权平均的乘积。两个实际案例的结果表明，本文提出的交叉效率度量不仅提高了排序系统和分区的区分能力，而且识别了系统和分区效率之间的关系。从这一关系中可以看出，哪个部门对制度绩效的影响更大。(C)2018爱思唯尔有限公司。保留所有权利。
The data envelopment analysis (DEA) technique uses the most favorable weights for each decision making unit (DMU) to calculate efficiency. The resulting efficiency scores are thus incomparable and difficult to discriminate. This phenomenon is more prominent for network systems, which involves the ranking of the component divisions, in addition to the system. This paper applies the idea of cross evaluation, which has been demonstrated to be an effective approach in ranking DMUs for systems considered as a whole unit, to measure the efficiency of the two basic structures of network systems, series and parallel. The proposed model is able to decompose the cross efficiency measure of the system into the product of those of the divisions for the series structure and a weighted average for the parallel structure. The results from two real-world cases, one for the basic series structure and another for the parallel one, show that the cross efficiency measures proposed in this paper not only increase the discriminating power in ranking systems and divisions, but also identify the relationship between the system and division efficiencies. Which division has stronger effects on the performance of the system is reflected from this relationship. (C) 2018 Elsevier Ltd. All rights reserved.