On characterizing full dimensional weak facets in DEA with variable returns to scale technology

Davtalab-Olyaie, Mostafa; Roshdi, Israfil; Nia, Vahid Partovi; Asgharian, Masoud

doi:10.1080/02331934.2014.917305

Cited by 14 publications

(8 citation statements)

References 18 publications

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“…Jahanshahloo, Lotfi, and Akbarian () propose an algorithm that finds weakly efficient facets of the technology set. In the same vein, Davtalab‐Olyaie, Roshdi, Partovi Nia, and Asgharian () propose an algorithm to find weakly efficient facets. Although all of these papers present numerical examples, no detailed numerical studies are presented in any of them.…”

Section: Introductionmentioning

confidence: 99%

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A multiobjective optimization approach to compute the efficient frontier in data envelopment analysis

Ehrgott

Hasannasab

Raith

2019

Multi Criteria Decision Anal

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Data envelopment analysis is a linear programming‐based operations research technique for performance measurement of decision‐making units. In this paper, we investigate data envelopment analysis from a multiobjective point of view to compute both the efficient extreme points and the efficient facets of the technology set simultaneously. We introduce a dual multiobjective linear programming formulation of data envelopment analysis in terms of input and output prices and propose a procedure based on objective space algorithms for multiobjective linear programmes to compute the efficient frontier. We show that using our algorithm, the efficient extreme points and facets of the technology set can be computed without solving any optimization problems. We conduct computational experiments to demonstrate that the algorithm can compute the efficient frontier within seconds to a few minutes of computation time for real‐world data envelopment analysis instances. For large‐scale artificial data sets, our algorithm is faster than computing the efficiency scores of all decision‐making units via linear programming.

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Section: Introductionmentioning

confidence: 99%

“…Jahanshahloo, Lotfi, and Akbarian (2010) propose an algorithm that finds weakly efficient facets of the technology set. In the same vein, Davtalab-Olyaie, Roshdi, Partovi Nia, and Asgharian (2015) propose an algorithm to find weakly efficient facets.…”

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confidence: 99%

A multiobjective optimization approach to compute the efficient frontier in data envelopment analysis

Ehrgott

Hasannasab

Raith

2019

Multi Criteria Decision Anal

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Section: Introductionmentioning

confidence: 99%

“…One of the problems in DEA is to find the equations of these defining hyperplanes. There are many researches undertaken on the subject of finding strong defining hyperplanes (see for example Amirteimoori et al [1], Amirteimoori et al [2], M. Davtalab-Olyaie et al [7], Jahanshahloo et al [11], Jahanshahloo et al [10], Yu et al [16], Wei et al [15], Hosseinzadeh et al [9] and Olesen et al [14]). However, less attention has been paid about finding weak defining hyperplanes of the PPS of the CCR model (see Wei et al [15]).…”

Section: Introductionmentioning

confidence: 99%

On Characterizing weak defining hyperplanes (weak Facets) in DEA with Constant Returns to Scale Technology

Akbarian¹

2017

Data Envelopment Analysis and Decision Science

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The Production Possibility Set (PPS) is defined as a set of inputs and outputs of a system in which inputs can produce outputs. The Production Possibility Set of the Data Envelopment Analysis (DEA) model is contain of two types defining hyperplanes (facets); strong and weak efficient facets. In this paper, the problem of finding weak defining hyperplanes of the PPS of the CCR model is dealt with. However, the equation of strong defining hyperplanes of the PPS of the CCR model can be found in this paper. We state and prove some properties relative to our method. To illustrate the applicability of the proposed model, some numerical examples are finally provided. Our algorithm can easily be implemented using existing packages for operation research, such as GAMS.

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“…For more details about the facial structure of the CRS-and VRS-based technologies, see, Davtalab-Olyaie,Roshdi, Partovi Nia, and Asgharian (2014) andJahanshahloo, Roshdi, and Davtalab-Olyaie (2013).…”

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confidence: 99%

On the identification of the global reference set in data envelopment analysis

Mehdiloozad

Mirdehghan

Sahoo

et al. 2015

European Journal of Operational Research

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On characterizing full dimensional weak facets in DEA with variable returns to scale technology

Cited by 14 publications

References 18 publications

A multiobjective optimization approach to compute the efficient frontier in data envelopment analysis

A multiobjective optimization approach to compute the efficient frontier in data envelopment analysis

On Characterizing weak defining hyperplanes (weak Facets) in DEA with Constant Returns to Scale Technology

On the identification of the global reference set in data envelopment analysis

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