資料包絡分析法權重設限之研究

A study of weight restrict in data envelopment analysis

劉春初(Chn-Chun Liu)

《中華管理學報》 5卷2期 (2004/07) Pp. 93-104

https://doi.org/10.30053/CHJM.200407.0006

摘要

資料包絡分析法(Data Envelopment Analysis, DEA)乃是利用數學規劃模式求取決策單位之相對效率，此一分析方法可得到一組投入要素與產出要素之最佳權數，Boussofiane，Dyson＆Thanassoulis(1991)認為DEA模式中經由運算得出之權數同時具有優點與缺點。優點是：權數的產生不受人為主觀因素的影響非常公正且公平。缺點是：如果權數的刻意選擇將可能造成該DMU為相對有效率，因此其效率未必來自本質效率(inherent efficiency)，而是來自於權數的選擇。是故如此的先天賦予權數所得之相對效率值是否合公平合理，而被接受呢？故本研究針對此一缺點整合主、客觀權重設限法，使得評估結果更為接近事實，最後以高雄市各區隊垃圾清運為例說明之。 關鍵詞：資料包絡分析法， 相對效率，權重設限

關鍵字

資料包絡分析法 ； 相對效率 ； 權重設限

並列摘要

Data Envelopment Analysis (DEA) is a mathematical programming approach to accessing relative efficiencies within a group of Decision Making Units (DMUs). An important outcome of such an analysis is a set of virtual multipliers or weights accorded to each (input or output) factor taken into account. This paper suggests a conceptual framework for the treatment of factor weights in DEA. First, the paper proposes general guidelines for setting bounds on factor weights in DEA. Then, this paper combined both Subjective weight restrict method and Objective weight restrict method to evaluate the twelve District Garbage Disposal Teams for the City of Kaohsiung. Key Words：Data Envelopment Analysis (DEA)， relative efficiency，weight restrict

並列關鍵字

Data Envelopment Analysis (DEA) ； relative efficiency ； weight restrict