Recognizing the efficiency, weak efficiency and inefficiency of DMUs with an epsilon independent linear program

Alirezaee, Mohammad Reza; Khalili, Masoud

doi:10.1016/j.amc.2006.05.176

Cited by 11 publications

(6 citation statements)

References 8 publications

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“…Also, in order to ensure the convergence of computing, specific value of ε is set as large as possible. In this paper, in order to separate efficient and weakly efficient DMUs, we set ε ¼10 À 6 (Alirezaee, 2005;MirHassani and Alirezaee, 2005;Alirezaee and Khalili, 2006;, s À t ands þ t are the slack variables,…”

Section: Dea With Linear Programming Methodsmentioning

confidence: 99%

Energy efficiency analysis based on DEA integrated ISM: A case study for Chinese ethylene industries

Han

Geng

et al. 2015

Engineering Applications of Artificial Intelligence

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Section: Dea With Linear Programming Methodsmentioning

confidence: 99%

Energy efficiency analysis based on DEA integrated ISM: A case study for Chinese ethylene industries

Han

Geng

et al. 2015

Engineering Applications of Artificial Intelligence

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“…Several researchers have attempted to determine the exact or an interval value for the non-Archimedean e (e.g., Ali & Seiford, 1993;Alirezaee, 2005;Alirezaee & Khalili, 2006;Amin & Toloo, 2004Jahanshahloo & Khodabakhshi, 2004;Mehrabian, Jahanshahloo, Alirezaee, & Amin, 2000;Mirhassani & Alirezaee, 2005;Shang & Sueyoshi, 1995;Tone, 1993). Amin and Toloo (2004) have presented an algorithm for computing the Archimedian infinitesimal e in DEA models.…”

Section: The Dea Model With Precise and Interval Datamentioning

confidence: 99%

A robust optimization approach for imprecise data envelopment analysis

Shokouhi

Hatami-Marbini

Tavana

et al. 2010

Computers & Industrial Engineering

101

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“…Also, in order to ensure the convergence of computing, the specific value of ε is set as large as possible. In this paper, to separate efficient and weakly efficient DMUs, we set ε = 10 –6 . − s t – and s t + are introduced as slack variables. s t – = ( s t 1– , s t 2– , ..., s t m – ) T , s t + = ( s t 1+ , s t 2+ , s t r + ) T denote the redundant amount of m input items and the insufficient amount of s output items, respectively.…”

Section: The Static Efficiency Analysis Of China Ethylene Plants Base...mentioning

confidence: 99%

Performance Analysis of China Ethylene Plants by Measuring Malmquist Production Efficiency Based on an Improved Data Envelopment Analysis Cross-Model

Han

Geng

et al. 2014

Ind. Eng. Chem. Res.

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Data envelopment analysis (DEA) has been widely used for efficiency evaluation of industrial plants. A conventional DEA model may easily lead to the situation where more than one-third of efficiency values are set to 1, so it is hard to analyze the pros and cons of the multi-decision-making units. The DEA cross-model can distinguish the pros and cons of the effective decision-making units, but it is unable to indicate the improvement direction of the ineffective decision-making units. This paper proposes an efficiency analysis method based on an improved DEA cross-model, which can get higher efficiency discrimination in identifying the efficiency state of the decision-making units compared with the conventional DEA model. The improved DEA cross-model avoids the impacts of unreasonable weight allocation of input and output indices. Meanwhile, selfevaluation of the improved DEA cross-model with the slack variables can find the improvement direction of the ineffective decision-making units. Also, the Malmquist productivity index (MPI) based on the improved DEA cross-model can comprehensively consider various input−output factors and obtain dynamic consistent analysis performance of industrial plants.To get relative effectiveness of ethylene plants under different technologies and different scales, the performance analysis of 19 ethylene plants in China were executed by proposed MPI. According to the results, various indices of MPI are evaluated over time by the improved DEA cross-model to obtain the root causes and direction of performance improvement of ethylene plants. As a result, the method proposed in this paper is effective and practical.

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Recognizing the efficiency, weak efficiency and inefficiency of DMUs with an epsilon independent linear program

Cited by 11 publications

References 8 publications

Energy efficiency analysis based on DEA integrated ISM: A case study for Chinese ethylene industries

Energy efficiency analysis based on DEA integrated ISM: A case study for Chinese ethylene industries

A robust optimization approach for imprecise data envelopment analysis

Performance Analysis of China Ethylene Plants by Measuring Malmquist Production Efficiency Based on an Improved Data Envelopment Analysis Cross-Model

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