基于公共權(quán)重改進(jìn)的情景依賴型DEA模型及應(yīng)用研究
發(fā)布時(shí)間:2018-04-27 00:05
本文選題:數(shù)據(jù)包絡(luò)分析 + 情景依賴; 參考:《南京郵電大學(xué)》2017年碩士論文
【摘要】:隨著全球競爭的不斷加劇,各行各業(yè)相繼面臨著同質(zhì)化的問題,質(zhì)量和價(jià)格水平日趨接近。運(yùn)用傳統(tǒng)的的數(shù)據(jù)包絡(luò)分析(Data Envelopment Analysis,DEA)模型只能從效率值的角度對決策單元(Decision Making Units,DMUs)進(jìn)行對比,并且只能區(qū)分DMUs是CCR有效還是非有效,不能對CCR有效的DMUs進(jìn)一步的區(qū)分。為了對CCR有效的DMUs進(jìn)行進(jìn)一步的分級和排序,Seiford和Zhu構(gòu)建了情景依賴的DEA模型。傳統(tǒng)的情景依賴型DEA(Context-dependent Data Envelopment Analysis,CD-DEA)模型通過計(jì)算被評價(jià)決策單元與第三方評價(jià)單元群體之間的徑向距離的方法,來評價(jià)決策單元之間的相對吸引力和拓展空間。實(shí)際上,這一距離,最終表現(xiàn)為被評價(jià)決策單元距離第三方評價(jià)單元群體中的某個(gè)特定單元的距離,忽略了第三方評價(jià)單元群體的綜合評價(jià);诖,Lim提出改進(jìn)的基于交叉效率的情景依賴型DEA模型,但基于交叉效率改進(jìn)的情景依賴型DEA模型的交叉吸引力和交叉拓展空間的評價(jià)標(biāo)準(zhǔn)是由決策者主觀確定的,并且每個(gè)DMU對于輸出指標(biāo)的權(quán)重都有自己的偏好;诖,本文在傳統(tǒng)情景依賴型DEA模型和基于交叉效率改進(jìn)的情景依賴型DEA的基礎(chǔ)上,提出引入第三方?jīng)Q策單元群體的公共權(quán)重,并以此為依據(jù)進(jìn)行被評價(jià)單元的吸引力和拓展空間的測度。通過對基于多目標(biāo)優(yōu)化的公共權(quán)重的DEA模型和基于Dinkelbach算法的公共權(quán)重模型的對比分析,最終選擇基于Dinkelbach算法的公共權(quán)重模型,這一改進(jìn)保證了第三方評價(jià)單元群體決策的一致性。并通過具體的算例對三種模型的計(jì)算結(jié)果進(jìn)行了對比分析,表明改進(jìn)的模型的有效性。
[Abstract]:With the aggravation of global competition, various industries are faced with the problem of homogeneity one after another, and the quality and price level are approaching day by day. The traditional data Envelopment Analysis (DEAA) model can only compare Decision Making units with DMUs from the point of view of efficiency, and can only distinguish whether DMUs is CCR effective or not, and can not be further distinguished from CCR effective DMUs. In order to further classify and sort the effective DMUs of CCR, Seiford and Zhu constructed the DEA model of situational dependency. The traditional situational dependent DEA(Context-dependent Data Envelopment Analysis (CD-DEA) model evaluates the relative attractiveness and expands the space of decision making units by calculating the radial distance between the evaluated decision units and the third party evaluation units. In fact, this distance is the distance between the decision unit under evaluation and a specific unit in the third party evaluation unit group, and the comprehensive evaluation of the third party evaluation unit group is ignored. Based on this, Lim proposes an improved scenario dependent DEA model based on cross efficiency, but the evaluation criteria of cross-attractiveness and cross-expansion space of scenario dependent DEA model based on cross-efficiency improvement are determined by decision makers subjectively. And each DMU has its own preference for the weight of output indicators. Based on the traditional situational dependent DEA model and the scenario dependent DEA based on cross-efficiency improvement, this paper proposes the common weight of the third-party decision unit group. On the basis of this, the attraction of the evaluated unit and the measure of the expansion space are carried out. Through the comparative analysis of the DEA model based on multi-objective optimization and the common weight model based on Dinkelbach algorithm, the common weight model based on Dinkelbach algorithm is selected. This improvement ensures the consistency of the group decision of the third party evaluation unit. The results of the three models are compared and analyzed by a concrete example, which shows the effectiveness of the improved model.
【學(xué)位授予單位】:南京郵電大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:F224;F416.61
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