中文摘要：

针对大量生产过程中存在非期望产出的现象及效率评价中数据包含随机性误差的事实,建立非期望产出的随机DEA模型.该模型通过引入风险的概念定义决策单元的占优,并应用统计学中的“相关性”概念刻画非期望产出的弱可处置性,在最优化理论的框架下,将两者结合起来,构建了可以同时考察两者的评价模型.在实证分析中,考察了该模型在不同随机误差水平下,在考虑与不考虑弱可处置性的情况下,模型评价结果的异同.结论表明：该模型可以同时解决非期望产出存在和数据包含随机误差的问题,有着广泛的适用性,模型的分析能力优于既有的模型.

英文摘要：

Considering that there are undesired outputs in many production processes and the fact that the data for the efficiency evaluation contain random errors,a random DEA model was built for the above two problems.The model defined the priority of the decision-making units through introducing the concept of risk and depicted the weak disposability of the undesired outputs by applying the ＂correlation＂ concept from statistics.This paper combined the randomness and the weak disposability in the framework of optimization theory to build the evaluation model that could investigate both.The empirical analysis investigated the similarities and differences of the model＇ s evaluation results under different levels of random errors and under the consideration of weak disposability or not.The results showed that the model can solve the problem of undesirable outputs and random errors in the data.In conclusion,the model,with broad applicability,is superior to the existing models.