A Study on the Issues of the Super-Efficiency for the Slacks-Based Measure in Dea

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Project title

Code/計畫編號

MOST105-2410-H019-009

Translated Name/計畫中文名

以差額為基礎之DEA超級效率相關議題研析

Project Coordinator/計畫主持人

Hsuan-Shih Lee

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Shipping and Transportation Management

Website

https://www.grb.gov.tw/search/planDetail?id=11899557

Year

2016

Start date/計畫起

01-08-2016

Expected Completion/計畫迄

31-07-2017

Bugetid/研究經費

751千元

ResearchField/研究領域

工業工程

"做為一非輻射狀度量(non-radial measure), Tone[14]於2002 提出了一個以差額為基礎之度量(SBM)的超級效率模型，簡稱Super-SBM。Du 等人於2010 年在EJOR 上將Super-SBM 模型擴展成加法型DEA 型。這個模型有兩個缺點，一是為了得到每一個DMU 的超級效率，我們必須先利用加法模型將有效率的DMU 過濾出來，再將這些有效率的DMU 運用加法型超級效率模型計算其超級效率，換言之必需交替運用兩個模型。在實際的運用上，資料量大時會導致大量運算，造成模型運用上的困擾。另一缺點是，超級效率所參照的投影(projection)可能不是強有效率(strongly efficient)。為了克服這兩項缺點，本研究計畫擬提出一個整合型模型，無論DMU 有無效率皆可以此模型計算其效率或其超級效率，同時可確保投影(projection)是強有效率(strongly efficient)。""As a non-radial approach, Tone [14], based on SBM, proposed a super-efficiency model to rank efficient DMUs. Du et al. [7] extends the Super SBM model to the additive (slacks-based) DEA model. To obtain the super-efficiencies of the DMUs, one needs to identify the efficient DMUs first and then employ the additive super-efficiency model to those efficient DMUs. In this project, we propose an integrated model so that the efficiencies of the inefficient DMUs and the super-efficiencies of the efficient DMUs can be obtained in a single stage. The efficiency scores obtained by our integrated model are the same as those obtained by Du et al. [7] and the additive DEA model."

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A Study on the Issues of the Super-Efficiency for the Slacks-Based Measure in Dea

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