Towards greener petrochemical production: Two-stage network data envelopment analysis in a fully fuzzy environment in the presence of undesirable outputs

Mozaffari, Mohammad Reza; Mohammadi, Samira; Corrêa, Henrique Luiz

doi:10.1016/j.eswa.2020.113903

Cited by 26 publications

(11 citation statements)

References 57 publications

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“…Proof. Since the feasible set of model ( 14) is the subset of the feasible set of model (9); thus, the result follows.…”

Section: Lemmamentioning

confidence: 81%

“…DEA model Environmental factor Applications scope Lozano [18] SBM Output Coal-fired power plant Chen and Zhu [19] CCR Output Industrial systems Li and Xiao [20] SBM Output Pulp and paper industry Michali et al [21] CCR Output Railway transport Asanimoghadam et al [22] ASBM Output Airport Salahi et al [23] ASBM Output Industry Wang and Feng [24] CCR Output Industrial eco-efficiency Mozaffari et al [9] CCR/Fuzzy Output Petrochemical sector Wu et al [25] BCC/output Output Provincial environmental Vaezi et al [26] CCR Output Factory Let 3) becomes the following linear model:…”

Section: Authorsmentioning

confidence: 99%

“…e two-stage process is efficient if and only if e 1s j � e 2s j � 1. It is noted that, if there is uncertainty in data set, models (4), (6), or (9) might be infeasible at optimal solution of nominal problem. us, it is essential to choose alternative models such that small variation in data cannot change the rankings.…”

Section: Definitionmentioning

confidence: 99%

“…in which Ω is the expected optimal objective value of model (9). From inequality (16), we further can obtain…”

Section: □ Theoremmentioning

confidence: 99%

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Stochastic P-Robust Approach to a Centralized Two-Stage DEA System with Resource Waste

Shakouri

Salahi

2022

Advances in Operations Research

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Uncertain data and undesirable outputs are two challenging issues in traditional data envelopment analysis (DEA) models while dealing with the environmental efficiency estimation of decision-making units (DMUs). This study considers Stackelberg and the centralized game theory approach in a two-stage DEA model for evaluating DMUs in the presence of uncertainty and undesirable outputs simultaneously. To tackle the uncertainty, we apply the p-robust technique and assume that undesirable outputs are weakly disposable. The proposed fractional models are linearized using the Charnes and Cooper transformation. We utilize the new models for a real dataset drawn from 11 oil generation ports in the Persian Gulf region consisting of two stages: an oil production stage and a wastewater treatment stage. The results revealed that the managers should take different strategies in environmental efficiency evaluation including undesirable impacts and also efficiency improvement in increasing oil generation. Further, the empirical results showed that the stochastic p-robust approach for controlling the conservatism level leads to a more conservative solution, and policymakers could recognize the significant steps that should be followed to improve each oil generation unit’s environmental performance. Also, to show the reliability and accuracy of the results and the effect of the decision-maker’s preference, a detailed sensitivity analysis is performed.

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“…Proof. Since the feasible set of model ( 14) is the subset of the feasible set of model (9); thus, the result follows.…”

Section: Lemmamentioning

confidence: 81%

Section: Authorsmentioning

confidence: 99%

Section: Definitionmentioning

confidence: 99%

“…in which Ω is the expected optimal objective value of model (9). From inequality (16), we further can obtain…”

Section: □ Theoremmentioning

confidence: 99%

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Stochastic P-Robust Approach to a Centralized Two-Stage DEA System with Resource Waste

Shakouri

Salahi

2022

Advances in Operations Research

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“…Moreover, they discussed how the efficiency of the internal processes of a supply chain can affect the performance of the entire system. Mozaffari et al [50] proposed a fuzzy linear programming model for solving fuzzy two-stage DEA model in the presence of undesirable outputs. Tavassoli et al [63] developed a double frontier fuzzy FNDEA model for assessing the sustainable supply chains based on alpha-cut approach.…”

Section: Literature Reviewmentioning

confidence: 99%

Fuzzy efficiency evaluation in relational network data envelopment analysis: application in gas refineries

Tabatabaei

Mozaffari

Rostamy-Malkhalifeh

et al. 2022

Complex Intell. Syst.

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In contrast to classical data envelopment analysis (DEA), network DEA has attention to the internal structure of a production system and reveals the relationship between the efficiency of system and efficiencies of the processes. However, the flexibility of weights and the need for crisp input and output data in the evaluation process are two major shortcomings of classical network DEA models. This paper presents a common weights approach for a relational network DEA model in a fuzzy environment to measure the efficiencies of the system and the component processes. The proposed approach first finds upper bounds on input and output weights for a given cut level and then it determines a common set of weights (CSW) for all decision-making units (DMUs). Hence, the fuzzy efficiencies of all processes and systems for all DMUs are obtained based on the resulting CSW. The developed fuzzy relational network DEA and the proposed common weights approach are illustrated with a numerical example. The obtained results confirm that the fuzzy data affects over the efficiency scores and complete ranking of DMUs. The applicability of the proposed network model is illustrated by performance evaluation of gas refineries in Iran.

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Energy Generation and Economic Efficiencies of Renewable Energy Technologies in EU-27

Gökgöz

Başbilen

2022

Springer Proceedings in Energy

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Towards greener petrochemical production: Two-stage network data envelopment analysis in a fully fuzzy environment in the presence of undesirable outputs

Cited by 26 publications

References 57 publications

Stochastic P-Robust Approach to a Centralized Two-Stage DEA System with Resource Waste

Stochastic P-Robust Approach to a Centralized Two-Stage DEA System with Resource Waste

Fuzzy efficiency evaluation in relational network data envelopment analysis: application in gas refineries

Energy Generation and Economic Efficiencies of Renewable Energy Technologies in EU-27

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