Jahanshahloo et al. (Appl Math Comput 153:215–224, 2004) propose a method for ranking extremely efficient decision making units (DMUs) in data envelopment analysis (DEA) using super-efficiency technique and l1-norm and they show that the presented method is able to eliminate the existing difficulties in some methods. This paper suggests an alternative transformation to convert the nonlinear model proposed by Jahanshahloo et al. (Appl Math Comput 153:215–224, 2004) into a linear programming form. The present paper shows that model with this transformation is equivalent to the above-mentioned nonlinear model. The motivation of this work is to linearize the proposed nonlinear model by Jahanshahloo et al. (Appl Math Comput 153:215–224, 2004) which has the higher order of complexity.
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机译:Jahanshahloo等。 (Appl Math Comput 153:215–224,2004)提出了一种使用超高效技术和l1-norm对数据包络分析(DEA)中的非常有效的决策单元(DMU)进行排名的方法,这些方法表明,该方法能够消除某些方法中存在的困难。本文提出了一种替代变换来转换Jahanshahloo等人提出的非线性模型。 (Appl Math Comput 153:215–224,2004)转换为线性编程形式。本文表明,经过这种变换的模型等效于上述非线性模型。这项工作的目的是使Jahanshahloo等人提出的非线性模型线性化。 (Appl Math Comput 153:215–224,2004),其复杂度较高。
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