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arXiv 1407.2599math.OC
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数据挖掘分析中的超效率概念分析:一种方向距离函数方法

Analyzing the concept of super-efficiency in data envelopment analysis: A directional distance function approach

Mahmood Mehdiloozad, Israfil Roshdi

摘要:

基于方向距离函数的框架,我们对超效率的测量进行了系统的分析,以实现两个主要目标。我们的主要目的是开发两个广义的方向性措施的超效率,彻底解决关键的不可行性问题,通常出现在传统的超效率措施。第二个目标是证明我们的定向超效率模型包括传统的特殊情况。所提出的措施是有利的,因为它们规避了由于输入和输出松弛的超效率估计的偏差。它们是一般的,并满足几个理想的性质,如总是可行性,单调性,单位独立性和平移不变性。

英文摘要:

Based on the framework of the directional distance function, we conduct a systematic analysis on the measurement of super-efficiency in order to achieve two main objectives. Our primary purpose is developing two generalized directional measures of super-efficiency that completely resolve the crucial infeasibility issue, commonly arisen in the traditional super-efficiency measures. The secondary goal is to demonstrate that our directional super-efficiency models encompass the conventional ones as special cases. The proposed measures are advantageous because they circumvent biases in super-efficiency estimation due to input and output slacks. They are general, and satisfy several desirable properties, such as always feasibility, monotonicity, unit independence, and translation invariance.

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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