AN INEQUALITY APPROACH FOR EVALUATING PRODUCTIVE EFFICIENCY

作者：Meng, Xiao-Li^*; Shi, Fu-Gui

来源：Journal of Nonlinear and Convex Analysis, 2018, 19(1): 41-51.

• Inequality evaluation approach
• Pareto efficiency
• partially ordered set
• minimal element
• production possibility set

Data envelopment analysis (DEA), which evaluates the relative efficiency of decision making units (DMUs), is a mathematical programming model. In this paper, an inequality evaluation approach is proposed. Firstly, inequalities consist of expressions of the production possibility set and the line segment joining the origin to the evaluated DMU. The production possibility set is spanned by all the DMUs without the evaluated DMU. Secondly, productive efficiency of the evaluated DMU is dependent upon the number of solutions of the inequalities, the minimal element and maximal element of partially ordered set are introduced in the approach to distinguish the weak efficiency and efficiency. Furthermore, the equivalence between productive efficiency and the number of solutions of the proposed approach is rigorously proved. Finally, the use of the proposed approach is illustrated by means of an example.

• 出版日期2018
• 单位北京理工大学