规模效率分析是传统DEA领域的重要问题之一,但现有成果未曾对规模收益的影响因素及其影响力进行研究。本文引人可变权重DEA模型,将要素权重用分段线性函数表示,揭示了要素折扣是企业产生规模效率的一种原因,并测量了要素折扣对于规模效率的贡献。实例研究显示,不同企业及不同折扣率对于规模效率的贡献存在差异性。部分企业的规模效率随着折扣率增加而增加,而部分企业的规模效率则随着折扣率的增加而减少。
Scale efficiency analysis is an important problem in traditional DEA research. However, the existing literatures have not studied the influencing factors and degrees to scale efficiency. This paper uses the weight-variable DEA model in which the input weight is defined by a piecewise linear function, discovers that the factor discount is one source of scale efficiency, and measures the contribution of factor discount to scale efficiency. A numerical example is given to illustrate that there are differences on the contribution of factor discount to scale efficiency for different enterprises and different discount ratios. For some enterprises the scale efficiency increases with increasing discount ratio, but for some else the scale efficiency decreases.