要素在有限范围变动的多目标DEA投影模型

A multiple objective DEA projection model for some factors varying in restricted ranges

针对已有的多目标数据包络分析(DEA)模型在投影时可能出现的某些不可行现象,提出了一种新的对输入输出有特定限制的多目标DEA模型,当部分投入或产出在有限范围内变动时,利用该模型对非有效决定单元做有现实意义的投影,并证明了投影后的决策单元(DMU)相对于原来的n个DMU是弱DEA有效的.最后通过一数值例子,将该模型与传统的DEA投影模型及已有的多目标DEA投影模型相比较而显示出该模型具有精确、全面和简单易行的优点.

Based on the infeasible phenomena existing in the previous model of multiple objective DEA, a new model which gives special restrictions to inputs and outputs is presented. By the model a realistic projection can be obtained when some of inputs or outputs change within limited ranges and the projection DMU is proved to be weakly DEA efficient relative to the original n DMUs. A comparison of this odel with the original models by a numerical example shows that this model has the advantages of being precise, complete and easy to handle.