A Study on Overall Efficiency Measure in Data Envelopment Analysis

数据包络分析中总体效率测度研究

• 批准号: 09680415
• 负责人: TONE Kaoru
• 金额: $ 1.15万
• 依托单位: National Graduate Institute for Policy Studies Grant-in-Aid for Scientific Research (C) (2)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09680415/
• 关键词: DEA; slackes; Mix efficiency; ミックス効率; スラックス; 効率値

In this study, I proposed a slacks-based measure of efficiency (SBM) in Data Envelopment Analysis (DEA). This measure takes account of input excesses and output shortfalls that are not involved in the radial measures of efficiency e.g. the CCR and the BCC measures. This measure (SBM) is defined as a ratio of two terms, one concerning with the output shortfalls, and the other with the input excesses, It was proved that SBM is not greater than the COR measure. SBM can be modified to cope with input-orientation as well as output-orientation. These modifications make easy the comparisons of SBM with the traditional measures of efficiencies. I then observed the dual side of SBM and found that it maximizes a virtual profit. As a consequence, SBM can be interpreted in terms of economics. Hence, price information on inputs and outputs can be incorporated in a similar way as the assurance region method and the cone-ratio model. Furthermore, I studied on the subjects such as decomposition of inefficiency into mix, technical and pure technical inefficiencies. These results will expand the application areas of DEA.

在这项研究中，我在数据包络分析（DEA）中提出了基于松弛的效率度量（SBM）。该措施考虑了未参与效率的径向测量（例如CCR和BCC测量。该度量（SBM）定义为两个术语的比率，一个与输出短缺有关，另一个与输入过量相关的比率，证明SBM不大于COR度量。可以修改SBM以应对输入方向和输出方向。这些修改使SBM与传统的效率度量的比较变得容易。然后，我观察到SBM的双侧，发现它最大化了虚拟利润。结果，可以根据经济学来解释SBM。因此，有关输入和输出的价格信息可以与Assurance区域方法和Cone-Ratio模型相似。此外，我研究了诸如将无效分解为混合，技术和纯技术低效率的主题。这些结果将扩大DEA的应用领域。

项目成果

K.Tone: "Computational Approaches to Economic Problems(eds Amman他)" Kluwer Academic Publishers, Dordrecht, 91-109 (1997)

K.Tone：“经济问题的计算方法（Amman 等人编）”Kluwer 学术出版社，多德雷赫特，91-109 (1997)

K.Tone: "OR for Evaluation using Mathematical Programming-In Case of DEA- (in Japanese)" Communications of the Operations Research Sociely of Japan. 43. 76-80 (1998)

K.Tone：“使用数学规划进行评估的 OR - 以 DEA 为例 -（日语）” 日本运筹学会通讯。

Cooper and Tone: "Measures of Inefficiency in DEA and Stochastic Frontier Estimation" European'Journal of Operational Research. 99. 72-88 (1997)

Cooper 和 Tone：“DEA 低效率测量和随机前沿估计”欧洲运筹学杂志。

Cooper and Tone: "Measures of Inefficiency in DEA and Stochastic Frontier Estimation" European Journal of Operational Research. 99. 72-88 (1997)

Cooper 和 Tone：“DEA 和随机前沿估计中的低效率测量”《欧洲运筹学杂志》。

刀根薫: "評価のORと数理計画-DEAを中心として-" オペレーションズ・リサーチ. 43・2. 76-80 (1998)

音薰：“评估 OR 和数学规划 - 以 DEA 为中心”运筹学 43・2（1998）。