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arXiv 1409.7546math.OC
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用常数规模收益技术刻画DEA中的弱定义超平面(弱刻面)

On Characterizing weak defining hyperplanes (weak Facets) in DEA with Constant Returns to Scale Technology

Dariush Akbarian

摘要:

生产可能性集(PPS)是指输入能产生输出的系统的输入和输出的集合。数据包络分析(DEA)模型的生产可能性集包含两种定义超平面(面)的类型:强有效面和弱有效面。本文讨论了CCR技术中PPS的弱定义超平面的求法问题。我们陈述并证明了与我们的方法相关的一些性质。最后给出了数值算例,说明了该模型的适用性.我们的算法可以很容易地实现使用现有的软件包进行操作研究,如GAMS。

英文摘要:

The Production Possibility Set (PPS) is defined as a set of inputs and outputs of a system in which inputs can produce outputs. The Production Possibility Set of the Data Envelopment Analysis (DEA) model is contain of two types defining hyperplanes (facets); strong and weak efficient facets. In this paper, the problem of finding weak defining hyperplanes of the PPS of the CCR-technology is dealt with. We state and prove some properties relative to our method. To illustrate the applicability of the proposed model, some numerical examples are finally provided. Our algorithm can easily be implemented using existing packages for operation research, such as GAMS.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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