Performance evaluation of two-stage network structures with fixed-sum outputs: An application to the 2018winter Olympic Games

Performance evaluation of two-stage network structures with fixed-sum outputs: An application to the 2018winter Olympic Games
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固定和输出的两级网络结构的性能评估:2018 年冬季奥运会的应用

DOI:
10.1016/j.omega.2020.102342
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发表时间:
2020-09
影响因子:
6.9
通讯作者:
Feng Yang
Feng Yang
中科院分区:
管理学2区
文献类型:
--
作者:
Yongjun Li;Jin Liu;Sheng Ang;Feng Yang

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在基于数据包络分析(DEA)的性能评估的许多应用中,经常发现决策单元(DMU)具有两级网络结构,并且这些DMU的输出之和是固定的。例如,在奥运会上,每个参赛国都有运动员的准备和运动员的比赛两个阶段,并且单场比赛的金、银、铜牌总数(DMU产出)是固定的。这种评估场景在实践中很常见,但现有的方法都没有充分分析这种情况。本文针对这一场景,提出了一种具有固定总和最终输出的两阶段 DEA 方法。该方法有两个步骤:构建共同有效边界并根据该边界评估 DMU。为了说明所提出的方法,我们将其应用于 2018 年平昌冬季奥运会的真实数据集。我们的研究结果表明:(1)高纬度地区和经济发达的国家效率更高; (2)整个两阶段奥运会过程的效率与比赛阶段效率的相关性远高于与备战阶段效率的相关性; (3)很少有DMU在两个阶段的效率都优于平均水平。最后,提出了帮助低效率国家赢得更多奥运奖牌的政策建议。
In many applications of performance evaluation based on data envelopment analysis (DEA), it is often found that decision-making units (DMUs) have two-stage network structures, and the sum of these DMUs’ outputs is fixed. For example, in the Olympic Games, each participant country has two stages—the preparation of athletes and competition of athletes—and at a single game the total numbers of gold, silver, and bronze medals (the DMU outputs) are fixed. Such an evaluation scenario is very common in practice, but none of the existing approaches adequately analyze this kind of situation. This paper addresses this scenario and proposes a two-stage DEA approach with fixed-sum final outputs. The approach has two steps: constructing a common efficient frontier and evaluating the DMUs based on that frontier. To illustrate the proposed approach, we apply it to a real dataset for the 2018 PyeongChang Winter Olympic Games. Our results show that: (1) countries with high latitudes and a developed economy had much better efficiency; (2) the efficiency of the whole two-stage Olympic process is much more correlated with competition stage efficiency than with preparation stage efficiency; and (3) there are few DMUs whose efficiency in both stages is better than average. Finally, policy suggestions are made to help inefficient nations to win more Olympic medals.
DOI: 10.1016/j.omega.2018.11.018
发表时间: 2020-03
影响因子: 6.9
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