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求DEA有效最速方向的一般方法
引用本文:王新宇,王洪欣.求DEA有效最速方向的一般方法[J].运筹与管理,2000,9(2):12-17.
作者姓名:王新宇  王洪欣
作者单位:[1]中国矿业大学工商管理学院,江苏徐州221008 [2]中国矿业大学机电学院,江苏徐州221008
摘    要:提出经验生产可能集的支撑超平面表示形式,在献3]的基础上,对生产可能集内任意非DEA有效的决策单元,给出在生产可能集内,求解其DEA有效最速方向,使其最速达到DEA有效的一般方向,同时指出献4]、7]中的两处错误。

关 键 词:DEA相对有效面  DEA有效最速方向  生产可能集

A General Algorithm to Calculate the Gradient of DEA Efficiency for Inefficient DMUs
WANG Xin yu ,WANG Hong xin.A General Algorithm to Calculate the Gradient of DEA Efficiency for Inefficient DMUs[J].Operations Research and Management Science,2000,9(2):12-17.
Authors:WANG Xin yu  WANG Hong xin
Institution:WANG Xin yu 1,WANG Hong xin 2
Abstract:In this paper we suggest a new approach to representing the empirical production possibility set with its facet hyperplanes. Extending the work of reference 3, this paper also indicates a general algorithm to calculate the gradient of DEA efficiency for inefficient DMUs within the empirical production set, in which all inputs and outputs of the inefficient DMUs are simultaneously changed to make them efficient DMUs. Two wrong conclusions existing in references 4 and 7 respectively are discovered.
Keywords:DEA efficient frontier  gradient of DEA efficiency  empirical production possibility set
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