FDH生产技术中的最大增量（最小减量）比和单侧RTS
Maximum incremental (minimum decremental) ratio and one-sided RTS in FDH production technologies
摘要：
近年来，规模弹性作为规模收益的一个定量表征，一直是凸DEA模型研究的热点。然而，我们发现，现有的规模弹性（SE）措施不正常工作下非凸FDH技术。因此，我们在FDH模型中定义了SE对应物。为此，引入了两个新的量，称为最大增量和最小减量比;并开发了一个多项式时间程序来计算它们。本文的第二部分是专门介绍和调查左手和右手RTS的概念FDH模型。建立了判别决策单元单侧RTS状态的若干充要条件，并给出了判别决策单元单侧RTS状态的多项式时间检验方法。最后，建立了单边RTS、全局RTS（GRS）和新定义的比率之间的关系。
英文摘要：
In very recent decades, Scale Elasticity (SE), as a quantitative characterization of Returns to Scale (RTS), has been an attractive research issue in convex DEA models. However, we show that the existing Scale Elasticity (SE) measure does not work properly under nonconvex FDH technologies. Due to this, we define an SE counterpart in FDH models. To this end, two new quantities, called maximum incremental and minimum decremental ratios are introduced; and a polynomial-time procedure is developed to calculate them. The second part of the paper is devoted to introducing and investigating left- and right-hand RTS notions in FDH models. Some necessary and sufficient conditions are established, leading to a polynomial-time test for identification of the one-sided RTS status of DMUs. Finally, the relationships between one-sided RTS, Global RTS (GRS), and the newly-defined ratios are established.
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