A study on DEA Models

DEA模型研究

• 批准号: 06680391
• 负责人: TONE Kaoru
• 金额: $ 0.26万
• 依托单位: Saitama University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06680391/
• 关键词: DEA; Cone-Ratio Method; Unit Invariance; Translation Invariance; Efficiency Measure; Returns to Scale; Translation Invariance; Efficiency Measure; Cone-Ratio Method; Admissible Direction; Algorithms for DEA

1.I studied solution procedures of various DEA models extensively and proposed a parametric method for obtaining a strongly complementary solution for efficient DMUs.2.With regard to Cone-Ratio Model, I proposed several strategies for deciding potential virtual multiplier directions. Also, uses of the vertex enumeration algorithm and interior point linear programming method were discussed.3.I found a new method for deciding returns to scale characteristics of BCC inefficient DMUs. The method is much simpler than previous ones.4.I surveyed recent developments in DEA with W.W.Cooper.5.I studied matching issues of various DEA models with data characteristics and proposed a new efficiency measure for Additive Model.

1.我广泛研究了各种DEA模型的求解过程，并提出了一种参数化方法，以获得高效DMU的强互补解。2.关于锥比模型，我提出了几种确定潜在虚拟乘数方向的策略。同时还讨论了顶点枚举算法和内点线性规划方法的使用。3.找到了一种确定BCC低效DMU规模收益特性的新方法。该方法比以前的方法简单得多。4.我与W.W.Cooper一起调查了DEA的最新进展。5.我研究了各种DEA模型与数据特征的匹配问题，并提出了一种新的加法模型效率度量。

项目成果

刀根薫: "DEAのモデルをめぐって-再論-" オペレーションズ・リサーチ. 40. 681-685 (1995)

音薰：《DEA 模型的重新审视》运筹学 40. 681-685 (1995)。

W. W. Cooper K. Tone: "A Surney of Some Recent Develpment in DEA, in 14th Europeam Conterence on OR, Seni-Plenary Papors, edited by R. Slowinske, 149-168" Inetitute of Computing Science, Poznan Univesity of Technology, Poland, 273 (1995)

W. W. Cooper K. Tone：“DEA 最近发展的综述，第 14 届欧洲 OR 会议，Seni-Plenary Papors，由 R. Slowinske 编辑，149-168”波兰波兹南理工大学计算科学研究所，

K.Tone: "On DEA Models-revisited-(in Japanese)" Operations Research. 40. 681-685 (1995)

K.Tone：“论 DEA 模型——重温——（日语）”运筹学。

W.W.Cooper and K.Tone: "A Survey of Some Recent Development in DEA" in 14th European Conference on OR,Semi-Plenary Papers, edited by R.Slowinski, Institute of Computing Science, Poznan University of Technology, Poland. 149-168 (1995)

W.W.Cooper 和 K.Tone：第 14 届欧洲 OR 会议半全体会议论文中的“DEA 近期发展概况”，由波兰波兹南理工大学计算科学研究所 R.Slowinski 编辑。

刀根 薫: "DEAのモデルをめぐって-再論-" オペレーションズ・リサーチ. 40. 681-685 (1995)

音薰：《DEA 模型的重新审视》运筹学 40. 681-685 (1995)。