Measuring Olympics achievements based on a parallel DEA approach
Measuring Olympics achievements based on a parallel DEA approach
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基于并行 DEA 方法衡量奥运会成就
DOI：
10.1007/s10479-014-1708-1
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发表时间：
2015-03-01
影响因子：
4.8
通讯作者：
Liang, Liang
中科院分区：
文献类型：
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作者：
Lei, Xiyang;Li, Yongjun;Liang, Liang
评价奥运会参赛国家的表现是数据包络分析（DEA）的一个重要应用。以前的文献只考虑参加国家在夏季奥运会上的表现。这可能对一些在冬季奥运会上表现出色，但在夏季奥运会上表现不佳的国家不公平。因此，我们认为，在衡量参赛者的表现时，最好将两届奥运会放在一起考虑。本文将两届奥运会视为一个并行系统，每个子系统对应一届夏季奥运会或一届冬季奥运会，并扩展了一种并行DEA方法来评估每个参与者的效率。提出了一种有效性分解方法，得到了奥运会各子系统的有效性区间。最后，我们将所提出的方法应用到2012年夏季奥运会和2010年冬季奥运会的最新真实的数据集。
Measuring the performance of participating nations in the Olympic Games is an important application of data envelopment analysis (DEA). Prior literature only considers participating nations' performance in the Summer Olympic Games. It may be unfair to some nations who are good at the Winter Olympics, but poor at the Summer Olympics. Therefore, we believe it is better to consider the two Olympics together when measuring performance of participants. This paper treats the two Olympics as a parallel system in which each subsystem corresponds to a Summer Olympics or a Winter Olympics, and extends a parallel DEA approach to evaluate the efficiency of each participant. An efficiency decomposition procedure is proposed to obtain the efficiency rang of each Olympic subsystem. Finally, we apply the proposed approach to the latest real data set of the 2012 Summer Olympics and 2010 Winter Olympics.