Finding the Reference Set of a Decision Making Unit

Jahanshahloo, G. R.; Shirzadi, Ahmad; Mirdehghan, S. M.

doi:10.1142/s0217595908001869

Cited by 9 publications

(6 citation statements)

References 4 publications

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“…To avoid nonlinearity, the present paper only discussed the two-phase NR approach under the assumption that the weights be known a priori. Seventh, it should be noted that finding the reference set and the benchmarks of DMUs is one of the most important issues in the standard DEA which some researchers (such as Jahanshahloo, Shirzadi and Mirdehghan (2008); Krivonozhko, Førsund and Lychev (2012); Mehdiloozad, Mirdehghan, Sahoo and Roshdi (2015)) have focused on.…”

Section: Discussionmentioning

confidence: 99%

Pareto–Koopmans efficiency and network DEA

Mirdehghan

Fukuyama

2016

Omega

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Section: Discussionmentioning

confidence: 99%

Pareto–Koopmans efficiency and network DEA

Mirdehghan

Fukuyama

2016

Omega

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“…The result presents the reference set, which is a set of the most efficient units that can be regarded as benchmarks for inefficient units [44]. The numerical value of an inefficient DMU's input variable multiplied by lambda represents the possibility of improvement.…”

Section: Carbon Efficiency and Improvement Potentialmentioning

confidence: 99%

An Analysis of the Effects of Climate Change Policy, Stakeholder Pressure, and Corporate Carbon Management on Carbon Efficiency on the Korean Petrochemical Industry

Lee

2018

Sustainability

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Climate change is a challenging issue for government and society as well as in business circles; it has the potential to transform the competitive business environment entirely. This study analyzed the carbon efficiency of petrochemical companies subject to the Target Management System, a Korean carbon policy. The results of data envelopment analysis of 20 Korean petrochemical companies over three years yield some interesting findings. First, companies showed a wide range of carbon efficiency ranging from 0.05 (the least efficient) to 1.00 (the most efficient). Second, because this gap is so wide, the effect of the TMS carbon policy was not apparent. Third, pressure from media and financial investors facilitates carbon efficiency. Fourth, firms’ efforts toward low-carbon product/technology development also improve carbon efficiency. This study provides some implications for managers and policy-makers who wish to foster firms’ competitiveness and reduce greenhouse gas emissions at the same time.

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“…Wei et al (2007) and Davtalab-Olyaie et al(2014 proposed some approaches to identify all full dimensional efficient and weak efficient facets of the PPS. Also, Jahanshahloo et al (2008) and Mehdiloozad et al (2015) proposed methods to find the reference sets of DMUs which can identify some characterisations of the PPS.…”

Section: Introductionmentioning

confidence: 99%

Characterisations of the production possibility set in data envelopment analysis: an MOLP approach

Mirdehghan

Heydari

2018

IJMOR

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The production possibility set in data envelopment analysis is a polyhedron and it is defined by the intersection of a finite number of half spaces which are constructed by their corresponding defining hyperplanes. Because of the importance of the characterisations of the production possibility sets in data envelopment analysis, we suggest two multi objective linear programming problems and then we identify some characterisations of the production possibility set by investigation of the relations among the suggested multi objective linear programming models and the input oriented envelopment and multiplier BCC models. In this paper, we use weighted sum and epsilon-constraint scalarisation methods to present some mathematical properties for finding some relations among the efficient solutions of the proposed multi objective linear programming models and the characteristics of the production possibility set and data envelopment analysis models.

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Finding the Reference Set of a Decision Making Unit

Cited by 9 publications

References 4 publications

Pareto–Koopmans efficiency and network DEA

Pareto–Koopmans efficiency and network DEA

An Analysis of the Effects of Climate Change Policy, Stakeholder Pressure, and Corporate Carbon Management on Carbon Efficiency on the Korean Petrochemical Industry

Characterisations of the production possibility set in data envelopment analysis: an MOLP approach

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