A two-stage structure with undesirable outputs: slacks-based and additive slacks-based measures DEA models

Asanimoghadam, Keyvan; Salahi, Maziar; Jamalian, Ali; Shakouri, Rita

doi:10.1051/ro/2022117

Cited by 5 publications

(2 citation statements)

References 34 publications

(49 reference statements)

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“…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%

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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Section: Authorsmentioning

confidence: 99%

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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“…) Data Envelopment Analysis ModelsThe data envelopment analysis model, referred to as the DEA model, includes two kinds, one is CCR model, which is based on the assumption of constant returns to scale, and the other is BCC model, which is based on the assumption of variable returns to scale[19][20]. Since agricultural insurance has not been operating in China for a long time, this paper chooses the latter and constructs the BCC model under input orientation as follows:…”

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confidence: 99%

Power Mechanism and Practical Path of Agricultural Insurance to Help Rural Revitalization

2023

Applied Mathematics and Nonlinear Sciences

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This paper firstly explores the power mechanism of agricultural insurance to help rural revitalization from three aspects of agriculture, farmers and rural three farmers, respectively, and constructs the rural revitalization development index system by combining the entropy power method. Then, the three-stage DEA model and the three-stage Malmquist index model are used to measure the efficiency of agricultural insurance boosting rural revitalization by combining the selected agricultural insurance boosting indicators. Finally, taking province A as an example, after descriptive statistical analysis, the method of this paper is combined with empirical analysis, and the practical path of agricultural insurance to help farmers is proposed from the three aspects of the insurance system, publicity as well and supply. The results show that after the optimization of agricultural insurance, the value of technical efficiency is distributed in [0.600, 0.738], the value of pure technical efficiency is distributed in [0.716, 0.826], and the value of scale efficiency is distributed in [0.738, 0.833] from 2010 to 2019. The mean value of the agricultural technical efficiency index in each city is 1.091, the mean value of the progress index is 1.033, and the mean value of total factor productivity is 1.029, which is an upward trending technology, and all of them have a growth rate of more than 5%. Based on this study, agricultural insurance can help improve the efficiency of rural revitalization.

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Fully fuzzy DEA: a novel additive slacks-based measure model

Gerami,

Mozaffari,

Wanke

et al. 2023

Soft Comput

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The subject of assessing the relative efficiency of Decision-Making Units (DMUs) has been explored extensively in the literature on Data Envelopment Analysis (DEA). While typical DEA models require exact and conclusive data, the observed values of the inputs and outputs in real-world problems may be inaccurate or ambiguous. This paper presents a novel fully fuzzy DEA (FFDEA) model based on the additive slacks-based measure (ASBM). FFDEA models imply that all inputs, outputs, and variables, are fuzzy. It is demonstrated how fuzzy ranking and fuzzy arithmetic approaches can be used to handle the trapezoidal fuzzy number assumptions. To solve the fuzzy ASBM model under variable returns-to-scale assumptions, we proposed two different methods, first method use of lexicographic method for solving multi-objective linear programming (MOLP) approach, which provides an efficiency measure and a fuzzy goal operating point for each DMU under assessment. In alternative method, we convert the fuzzy linear fractional programming problems to an equivalent MOLP problem. A case study is provided to illustrate the applicability of the proposed approach for selecting sustainable suppliers, we compare the results with other fuzzy DEA approaches, while shedding light on future research venues.

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A two-stage structure with undesirable outputs: slacks-based and additive slacks-based measures DEA models

Cited by 5 publications

References 34 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

Power Mechanism and Practical Path of Agricultural Insurance to Help Rural Revitalization

Fully fuzzy DEA: a novel additive slacks-based measure model

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