Prediction of efficient outputs based on GM (1, N) model and weak DEA efficiency

Abstract：This paper expresses the efficient outputs of decisionmaking unit (DMU) as the sum of “average outputs” forecasted by a GM (1,N) model and “increased outputs” which reflect the difficulty to realize efficient outputs.The increased outputs are solved by linear programming using data envelopment analysis efficiency theories,wherein a new sample is introduced whose inputs are equal to the budget in the issue No.n + 1 and outputs are forecasted by the GM (1,N) model.The shortcoming in the existing methods that the forecasted efficient outputs may be less than the possible actual outputs according to developing trends of input-output rate in the periods of pre-n is overcome.The new prediction method provides decision-makers with more decisionmaking information,and the initial conditions are easy to be given. 作者： Author： Jiefang Wang[1]  Sifeng Liu[2] 作者單位： College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;College of Management and Economics, North China University of Water Resources and Electric Power,Zhengzhou 450000, P. R. ChinaCollege of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China 期 刊： 系統工程與電子技術（英文版）   EISCI Journal： Journal of Systems Engineering and Electronics 年，卷(期)： 2011, 22(6) 分類號： N941.5 O221.1 Keywords： efficient outputs    GM (1,N) model    data envelopment analysis (DEA)    weak DEA efficiency    prediction    機標分類號： S7 O22 機標關鍵詞： based    DEA    data envelopment analysis    linear programming    initial conditions    prediction method    information    model    theories    new    paper    DMU 基金項目： the Research Start Funds for Introducing High-level Talents of North China University of Water Resources and Electric Power Prediction of efficient outputs based on GM (1, N) model and weak DEA efficiency[期刊論文]  系統工程與電子技術（英文版） --2011, 22(6)This paper expresses the efficient outputs of decisionmaking unit (DMU) as the sum of “average outputs” forecasted by a GM (1,N) model and “increased outputs” which reflect the difficulty to realize ef...

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