An effective transformation in ranking using l1-norm in data envelopment analysis

Jie Wu; Hong Yan

doi:10.1016/j.amc.2010.10.016

An effective transformation in ranking using l1-norm in data envelopment analysis

Jie Wu, Hong Yan

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

Jahanshahloo et al. [G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavyan, Ranking using l1-norm in data envelopment analysis, Applied Mathematics and Computation, 153 (2004) 215-224] present a method for ranking extremely efficient decision making units (DMUs) in data envelopment analysis (DEA) by exploiting the leave-one-out idea and l1-norm. It is shown that the proposed method is able to remove the existing difficulties in some methods. This paper suggests an effective procedure to transfer the proposed model from the nonlinear programming form into a linear programming form. We show that the model with this transformation is equivalent to the nonlinear model, while it is much easier to solve than the treatment in [1].

Original language	English
Pages (from-to)	4061-4064
Number of pages	4
Journal	Applied Mathematics and Computation
Volume	217
Issue number	8
DOIs	https://doi.org/10.1016/j.amc.2010.10.016
Publication status	Published - 15 Dec 2010

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10.1016/j.amc.2010.10.016

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title = "An effective transformation in ranking using l1-norm in data envelopment analysis",

abstract = "Jahanshahloo et al. [G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavyan, Ranking using l1-norm in data envelopment analysis, Applied Mathematics and Computation, 153 (2004) 215-224] present a method for ranking extremely efficient decision making units (DMUs) in data envelopment analysis (DEA) by exploiting the leave-one-out idea and l1-norm. It is shown that the proposed method is able to remove the existing difficulties in some methods. This paper suggests an effective procedure to transfer the proposed model from the nonlinear programming form into a linear programming form. We show that the model with this transformation is equivalent to the nonlinear model, while it is much easier to solve than the treatment in [1].",

keywords = "Chinese cities, Data envelopment analysis (DEA), Efficiency, Ranking",

author = "Jie Wu and Hong Yan",

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AU - Yan, Hong

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AB - Jahanshahloo et al. [G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavyan, Ranking using l1-norm in data envelopment analysis, Applied Mathematics and Computation, 153 (2004) 215-224] present a method for ranking extremely efficient decision making units (DMUs) in data envelopment analysis (DEA) by exploiting the leave-one-out idea and l1-norm. It is shown that the proposed method is able to remove the existing difficulties in some methods. This paper suggests an effective procedure to transfer the proposed model from the nonlinear programming form into a linear programming form. We show that the model with this transformation is equivalent to the nonlinear model, while it is much easier to solve than the treatment in [1].

KW - Chinese cities

KW - Data envelopment analysis (DEA)

KW - Efficiency

KW - Ranking

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DO - 10.1016/j.amc.2010.10.016

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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An effective transformation in ranking using l1-norm in data envelopment analysis

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