Linear robust data envelopment analysis: CCR model with uncertain data

Sabouhi, Mahmood; Najafabadi, Mostafa Mardani

doi:10.1504/ijpqm.2017.10007224

Cited by 4 publications

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“…Then, the energy efficiency is determined by the ratio of inputs to outputs of this evaluation group. At present, the Charnes, Copper and Rhodes model (CCR), Banker, Charnes and Cooper model (BCC), and slack‐based model model (SBM) are widely used to evaluate the energy efficiency of the ISI. These models will be highlighted below.…”

Section: Evaluation Methods Of Energy Efficiency In the Isimentioning

confidence: 99%

“…The CCR model was proposed to evaluate the effectiveness of scale and technology for DMUs . For n of DMUs, the efficiency θ of each DMU with m of inputs X and s of outputs Y is calculated as follows:

\begin{matrix} true \\ min θ \\ \begin{matrix} s . t . \sum_{j = 1}^{n} λ_{j} X_{j} + S^{-} = θ X_{j 0} \\ \begin{matrix} \sum_{j = 1}^{n} λ_{j} Y_{j} - S^{+} = Y_{j 0} \\ \begin{matrix} λ_{j} \geq 0, j = 1, 2, \dots, n \\ S^{-} \geq 0, S^{+} \geq 0 \end{matrix} \end{matrix} \end{matrix} \end{matrix},

where X j = ( x 1 j , x 2 j , … , x ij , … , x mj ) T ; Y j = ( y 1 j , y 2 j , … , y rj , … , y sj ) T ; x ij is the input of raw material (fuel) i of DMU j ; y rj is the input of product r of DMU j ; λ j is the combined weight of DMU j ; X j 0 and Y j 0 are the inputs and outputs of DMU j 0 ; and S + and S − are the slack variables.…”

Section: Evaluation Methods Of Energy Efficiency In the Isimentioning

confidence: 99%

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Review of evaluation methodologies and influencing factors for energy efficiency of the iron and steel industry

Sun

et al. 2019

Int J Energy Res

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Summary To promote the sustainable development of the iron and steel industry (ISI), evaluation methods and influencing factors of energy efficiency have been studied in the past decades. A systematic review of these methodologies and influencing factors is presented in this paper. Initially, this paper states the development, current situation, and energy consumption of the world's ISI. Then, the definition of energy efficiency is described. After that, the evaluation methods are categorized as single‐factor methods (including these indicators of thermodynamic, thermos‐physical, thermo‐economic, and economic) and multifactor methods (including parametric and nonparametric methods). Furthermore, typical evaluation methods are highlighted. Thermal analysis method and exergy analysis method are routinely combined to optimize the energy utilization. Data envelopment analysis (DEA) and stochastic frontier analysis (SFA) are widely concerned and well developed to gain a better economic benefit. Malmquist index method is often associated with DEA to analyze the technical process and return to scale. Some emerging methods are proposed, for example, the three‐stage DEA method together with DEA and SFA. Finally, the influencing factors of energy efficiency in the ISI are discussed, including industrial structure, technological level, energy consumption structure, price, and so on. It is suggested that optimizing energy structure and improving technology level are effective measures to improve the energy efficiency in the ISI.

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Section: Evaluation Methods Of Energy Efficiency In the Isimentioning

confidence: 99%

\begin{matrix} true \\ min θ \\ \begin{matrix} s . t . \sum_{j = 1}^{n} λ_{j} X_{j} + S^{-} = θ X_{j 0} \\ \begin{matrix} \sum_{j = 1}^{n} λ_{j} Y_{j} - S^{+} = Y_{j 0} \\ \begin{matrix} λ_{j} \geq 0, j = 1, 2, \dots, n \\ S^{-} \geq 0, S^{+} \geq 0 \end{matrix} \end{matrix} \end{matrix} \end{matrix},

Section: Evaluation Methods Of Energy Efficiency In the Isimentioning

confidence: 99%

Review of evaluation methodologies and influencing factors for energy efficiency of the iron and steel industry

Sun

et al. 2019

Int J Energy Res

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“…Currently, one of the most widely used methods of evaluating efficiency in agricultural production is data envelopment analysis (DEA), which is known as a non-parametric approach. The main advantage of this method is the ability to use multiple inputs and outputs to measure the relative efficiency of a set of homogeneous decision-making units or DMUs (Sabouhi & Mardani, 2017). On the other hand, one of the topics that have been the focus of researchers in the field of efficiency evaluation with regard to environmental issues is the Material Balance Principle (MBP).…”

Section: Review Of Literaturementioning

confidence: 99%

Material balance principle to estimate eco-efficiency of saffron-producers aiming reduction in greenhouse gas emissions in Iran

Mardani Najafabadi,

Rastegaripour,

Yavari

et al. 2023

Front. Environ. Sci.

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Introduction: During the last decades, environmental pollution has been considered one of the challenges of the agricultural sector, which has affected the relationship between the ecological and economic performance of agricultural products.Methods: In this study, the DEA-MBP approach based on the SBM model has been used to investigate the eco-efficiency of saffron farms in Iran. The main purpose of this approach is to decrease GHG emissions by mitigating the use of highly polluting production inputs.Results: The results showed that the average eco-efficiency is estimated at 74% and is 12% lower than technical efficiency without considering environmental issues. Therefore, saffron producers are 26% far from full efficiency, and they must change their consumption of inputs and production of inputs according to environmental issues in order to achieve it. Excessive use of diesel fuel and fungicides is cause of GHG emissions in these farms.Discussion: The use of sustainable and ecological cultivation methods in farms in order to reduce the consumption of chemical fertilizers and fungicides should be considered. Replacing old machinery and repairing them can also considerably reduce fuel consumption and GHG emissions.

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“…In the mid-1990s, the issue of creating conservatism in mathematical programming models was introduced by limiting uncertain parameters (Ben-Tal & Nemirovski, 2000). The benefits of using robust optimization are reporting point-based optimal solution (confronting the optimal interval solutions in interval programming) (M. Sabouhi & Mardani, 2017) and lack of awareness of the data distribution (the challenge of coping with the need to be aware of the data distribution in the stochastic programming) (Mardani Najafabadi & Taki, 2020).…”

Section: Introductionmentioning

confidence: 99%

Mathematical programming approaches for modeling a sustainable cropping pattern under uncertainty: a case study in Southern Iran

Najafabadi¹,

Ashktorab²

2022

Environ Dev Sustain

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In recent years, the excessive and unreasonable use of chemicals, the occasional use of water, and the use of improper irrigation methods have created a worrying and unstable situation in developing countries' agricultural activities. In the present study, the robust multi-objective fractional linear programming model (RMOLFP) was introduced to determine the sustainable optimal cropping pattern.This model was presented in the Gotvand irrigation and drainage network located in Khuzestan province, southern Iran, under two scenarios with and without considering the uncertainty to evaluate the ability of the model. The results showed that in the first scenario, the consumption of critical disruptive inputs of sustainable agriculture such as fertilizers and chemical pesticides decreased by 5.9% and 8.19%, respectively. On the other hand, the model's uncertainty condition was applied in the second scenario in which the increase in gross margin was reduced. There is a trade-off between protecting the optimization model against system uncertainty and gross margin. Finally, the ability of the proposed model to apply uncertainty conditions was verified by the Monte Carlo simulation method. The results of this simulation confirmed the use of the RMOLFP method in determining the sustainable optimal cropping pattern for the study area.

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Linear robust data envelopment analysis: CCR model with uncertain data

Cited by 4 publications

References 0 publications

Review of evaluation methodologies and influencing factors for energy efficiency of the iron and steel industry

Review of evaluation methodologies and influencing factors for energy efficiency of the iron and steel industry

Material balance principle to estimate eco-efficiency of saffron-producers aiming reduction in greenhouse gas emissions in Iran

Mathematical programming approaches for modeling a sustainable cropping pattern under uncertainty: a case study in Southern Iran

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