Benchmarking with nonconvex production possibility set through data envelopment analysis: An application to China's transportation system
Benchmarking with nonconvex production possibility set through data envelopment analysis: An application to China's transportation system
复制标题
通过数据包络分析设置非凸生产可能性的基准测试：在中国交通系统中的应用
DOI：
10.1016/j.eswa.2022.116872
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发表时间：
2022-03-15
影响因子：
8.5
通讯作者：
Goh, Mark
中科院分区：
文献类型：
--
作者：
Tao, Xiangyang;An, Qingxian;Goh, Mark
凸生产可能集（PPS）是以往基准研究中的一个隐含假设。一些学者指出，隐含假设虽然有利于操作分析，但与经典经济理论不一致。因此，本研究开发了一种新的基准测试方法的基础上的技术，假设凸性的消费对应关系，而不是强加凸性的PPS，其中最接近的基准与最少的努力被确定。首先，两个经典的基准技术（凸PPS和自由处置船体技术），和两个非凸PPS（生产对应和消费对应）之间的相关性，被确定。其次，确定了极端有效的决策单元，以描述帕累托有效点的消费对应的边界。然后，最接近的基准是通过选择一个帕累托有效点，最小化之间的距离被评估的单位和消费对应的有效边界。此外，本研究采用曼哈顿距离作为基准，所提出的方法是灵活的，以适应其他距离，以得出不同的经济解释。此外，该方法引入了一个新的非径向效率的措施和概念化的基准指数，通过放松凸性假设PPS。最后，所提出的方法被应用到选择基准和衡量中国的交通系统的性能。该方法放宽了DEA对PPS的凸性假设，为提高我国交通运输系统的绩效提供了有力的管理工具。
Convex production possibility set (PPS) is an implicit assumption in previous benchmarking studies. Some scholars point out that the implicit assumption is inconsistent with the classical economic theory although it facilitates operational analysis. Hence, the present study develops a new benchmarking approach on the basis of technology that assumes convexity on consumption correspondence instead of imposing convexity on PPS, in which the closest benchmark with the least effort is identified. First, the correlation between two classical technologies in benchmarking (convex PPS and free disposal hull technology), and two nonconvex PPS (production correspondence and consumption correspondence), are identified. Next, the extreme efficient DMUs are identified to describe Pareto-efficient points on the frontier of the consumption correspondence. Then, the closest benchmark is determined by selecting a Pareto-efficient point that minimizes the distance between the evaluated unit and the efficient frontier of consumption correspondence. In addition, this study employs the Manhattan distance for benchmarking, and the proposed approach is flexible to accommodate other distances to derive different economic interpretations. Besides, the proposed approach introduces a new non-radial efficiency measure and conceptualizes a benchmark index by relaxing the convexity assumption on PPS. Finally, the proposed approach is applied to select benchmarks and measure performance for China's transportation system. The proposed approach contributes to relaxing convexity assumption on PPS in benchmarking using DEA and provides a powerful managerial instrument to improve the performance of China's transportation system.