DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

Seyyed Hossein Razavi Hajiagha; Shide Sadat Hashemi; Hannan Amoozad Mahdiraji

DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

Seyyed Hossein Razavi Hajiagha
, Shide Sadat Hashemi
, Hannan Amoozad Mahdiraji

Research output: Contribution to journal › Article › peer-review

64 Downloads (Pure)

Abstract

Data envelopment analysis operates as a tool to appraise the relative
efficiency of a set of homogenous decision making units. DEA allows each DMU to take its optimal weight in comparison toother DMUs while a similar condition is considered for other units. This feature threats the comparability of different units because different weighting schemes are used for different DMUs. In this paper, a model is presented to determine a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA's results as ideal solution an
d seeks a set of common weights to evaluate DMUs and increases the model's discrimination power. A numerical example is solved and the proposed method's results are compared to some previous methods. This Comparison has shown the proposed method's advantages in ranking DMUs

Original language	English
Pages (from-to)	207-214
Number of pages	8
Journal	International Journal of Industrial Engineering & Production Research (IJIEPR)
Volume	25
Issue number	3
Publication status	Published - 1 Sept 2014
Externally published	Yes

Bibliographical note

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Access to Document

PublishedFinal published version, 966 KBLicence: CC BY-NC

http://ijiepr.iust.ac.ir/article-1-535-en.pdfLicence: CC BY-NC

Cite this

@article{50455a1a4a044903bb9954b498dd8db6,

title = "DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem",

abstract = "Data envelopment analysis operates as a tool to appraise the relative efficiency of a set of homogenous decision making units. DEA allows each DMU to take its optimal weight in comparison toother DMUs while a similar condition is considered for other units. This feature threats the comparability of different units because different weighting schemes are used for different DMUs. In this paper, a model is presented to determine a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA's results as ideal solution an d seeks a set of common weights to evaluate DMUs and increases the model's discrimination power. A numerical example is solved and the proposed method's results are compared to some previous methods. This Comparison has shown the proposed method's advantages in ranking DMUs",

author = "Hajiagha, \{Seyyed Hossein Razavi\} and Hashemi, \{Shide Sadat\} and \{Amoozad Mahdiraji\}, Hannan",

note = "This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.",

year = "2014",

month = sep,

day = "1",

language = "English",

volume = "25",

pages = "207--214",

journal = "International Journal of Industrial Engineering \& Production Research (IJIEPR)",

issn = "2008-4889",

publisher = "Iran University of Science and Technology",

number = "3",

}

TY - JOUR

T1 - DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

AU - Hajiagha, Seyyed Hossein Razavi

AU - Hashemi, Shide Sadat

AU - Amoozad Mahdiraji, Hannan

N1 - This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

PY - 2014/9/1

Y1 - 2014/9/1

N2 - Data envelopment analysis operates as a tool to appraise the relative efficiency of a set of homogenous decision making units. DEA allows each DMU to take its optimal weight in comparison toother DMUs while a similar condition is considered for other units. This feature threats the comparability of different units because different weighting schemes are used for different DMUs. In this paper, a model is presented to determine a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA's results as ideal solution an d seeks a set of common weights to evaluate DMUs and increases the model's discrimination power. A numerical example is solved and the proposed method's results are compared to some previous methods. This Comparison has shown the proposed method's advantages in ranking DMUs

AB - Data envelopment analysis operates as a tool to appraise the relative efficiency of a set of homogenous decision making units. DEA allows each DMU to take its optimal weight in comparison toother DMUs while a similar condition is considered for other units. This feature threats the comparability of different units because different weighting schemes are used for different DMUs. In this paper, a model is presented to determine a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA's results as ideal solution an d seeks a set of common weights to evaluate DMUs and increases the model's discrimination power. A numerical example is solved and the proposed method's results are compared to some previous methods. This Comparison has shown the proposed method's advantages in ranking DMUs

M3 - Article

SN - 2008-4889

VL - 25

SP - 207

EP - 214

JO - International Journal of Industrial Engineering & Production Research (IJIEPR)

JF - International Journal of Industrial Engineering & Production Research (IJIEPR)

IS - 3

ER -

DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this