An alternative transformation in ranking using l1-norm in data envelopment analysis
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.
The motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases the best operating unit is important to be sampled for the others in under evaluated time periods. However, in this special conce...متن کامل
the motivation of this paper is to propose such equitable method for ranking all decision making units (dmus) in dynamic data envelopment analysis (ddea) framework. as far as we are aware there is not more studies in dynamic dea literature. what's more, in such cases the best operating unit is important to be sampled for the others in under evaluated time periods. however, in this special conce...متن کامل
An Alternative Secondary Goal Approach to Modify Cross Efficiency Evaluation in Data Envelopment Analysis
The cross efficiency evaluation is used to performance measurement of decision making units in data envelopment analysis concept. One of the most important shortcoming of this method is existing alternative optimal solution and therefore, the efficiency scores are not unique. We are going to summarize the pervious models proposed by researchers and suggest an alternative secondary goal approach...متن کامل
Traditional data envelopment analysis models split decision making units into two basic groups, efficient and inefficient. They are based on solving linear optimization problems and currently they represent very popular tool for efficiency and performance evaluation. Efficiency scores of inefficient units allows their ranking but efficient units cannot be ranked directly because of their maximu...متن کامل
in this paper the inversion of gravity data using l1–norm stabilizer is considered. the inversion is an important step in the interpretation of data. in gravity data inversion, the goal is to estimate density and geometry of the unknown subsurface model from a set of known observation measured on the surface. commonly, rectangular prisms are used to model the subsurface under the survey area. t...متن کامل
Application of Data Envelopment Analysis (DEA) as a Multicriterion Decision Making (MCDM) methodology is tested for Sri Ram Sagar Project, Andhra Pradesh, India to select the suitable irrigation planning alternative. Three different criterion functions of DEA, namely minimizing deviation variable D j (Min D j ), minimizing maximum deviation (Minmax), and minimizing the sum of deviations ∑ D j (...متن کامل
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دوره 12 شماره 3
تاریخ انتشار 2016-09-01
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