A NON-ARCHIMEDEAN DEA MODEL TO ASSESS GROUP COMPARISONS

ABSTRACT We consider the use of the non-Archimedean infinitesimal epsilon in DEA-CCR models. The application of interest is defined by the performance measure of the Brazilian Agricultural Research Corporation research centers. We characterize an assurance region for the non-Archimedean element and suggest a value for it. Types of DMUs are compared using fractional regression models and quasi maximum likelihood inference. We conclude that the research centers aimed at studying specific agricultural products are dominant. The classic DEA-CCR performance measures and the solution provided by non-Archimedean model have Spearman correlation over 90%.

摘要：本文探讨了非阿基米德无穷小量ε在DEA-CCR模型中的应用。本次研究的关注场景为巴西农业研究公司（Brazilian Agricultural Research Corporation）下属研究中心的绩效评价任务。我们为该非阿基米德元素界定了权重约束区域，并给出了其推荐取值。本文采用分数回归模型与拟极大似然推断方法，对不同类型的决策单元（Decision Making Unit, DMU）进行对比分析。研究结论表明，以特定农产品为研究方向的研究中心占据主导地位。经典DEA-CCR绩效评价结果与非阿基米德模型所得求解结果的斯皮尔曼相关系数超过90%。