IDEA模型及其在纺织业效率评估中的应用

Interval DEA and its application in efficient evaluation of textile industry

在用DEA进行效率评价时,由于信息不充分或测量误差等原因,决策单元(DMU)的投入产出数据可能为区间数,所以产生了区间DEA(简称IDEA)模型.研究了IDEA的求解方法,指出直接将IDEA当作一般的区间线性规划来求解的错误所在,结合IDEA的实际经济意义,通过将DMU的区间投入产出数据进行特定投影,建立了求解各DMU的区间效率值的模型,并按区间效率值对所有决策单元进行了分类.

During efficient evaluating by DEA, the inputs and outputs of DMUs may be intervals because of insufficient information or measure error. For this reason, interval DEA is proposed. To solve IDEA, the error of regarding IDEA as general interval linear programming is pointed out. On the basis of analyzing the practical economic meaning of IDEA, by projecting the interval data of each DMU on special points, the model of solving each DMU′s interval efficient score is built. Based on this, all the DMUs are classified. Finally, this method is applied to evaluating and forecasting efficient on the industries of the local textile industry.