A new method for measuring congestion in data envelopment analysis

Noura, A. A.; Lotfı, Farhad Hosseinzadeh; Jahanshahloo, G. R.; Rashidi, Sara Fanati; Parker, Barnett R.

doi:10.1016/j.seps.2010.06.003

Cited by 39 publications

(34 citation statements)

References 9 publications

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“…In "Numerical example" section, we propose a congestion hyperplane based on a linear method by using efficient units, which can separate congestion units from other DMUs. This hyperplane improves the model developed by Nora et al [10], and the results are similar to those derived from the model of Cooper et al [3]. Different numerical examples are selected out of two articles [3,10] and then solved with the proposed method.…”

Section: Introductionsupporting

confidence: 64%

“…In his article [13] such congestion is investigated with constant returns to scale output-oriented models. Nora et al [10] presented a new method for calculating the amount of congestion.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we first introduce the methods of Cooper et al [3] and Nora et al [10] in "Background" section. The existence of the congestion hyperplane is ascertained by some theorems in "Proposed method" section.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid generalized contractions

Ali¹,

Kamran²

2013

Mathematical Sciences

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In this paper, we will present some fixed point results for two classes of generalized contractions of Boyd-Wong type in partial b-metric spaces. More precisely, the structure of the paper is the following. In section one, we present some useful notions and results. The aim of section two is to introduce the concepts of Boyd-Wong F-contractions of type A and of type B and establish some new common fixed point results in partial b-metric spaces. We show the validity and superiority of our main results by suitable examples which are visualized by corresponding surfaces and related graphs. In section three, we correct some slip-ups in some recent papers. Finally, in section four, two applications to integral equation and periodic boundary value problem are included which make effective the new concepts and results.

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Section: Introductionsupporting

confidence: 64%

“…In his article [13] such congestion is investigated with constant returns to scale output-oriented models. Nora et al [10] presented a new method for calculating the amount of congestion.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid generalized contractions

Ali¹,

Kamran²

2013

Mathematical Sciences

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“…Khodabakhshi [16] proposes a one-model approach based on relaxed combination of inputs in order to simplify the calculation process. Noura et al [17] study a new method which requires considerably less computation and proves equivalent to [13]. Khoveyni et al [18] propose a slack-based DEA approach to identify congestion for the evaluated DMUs.…”

Section: Literature Reviewmentioning

confidence: 99%

Distinguishing Technical Inefficiency from Desirable and Undesirable Congestion with an Application to Regional Industries in China

Jun¹,

Zha²

2014

Sustainability

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Abstract:Congestion is an important issue that requires the efficiency of decision-making units (DMUs). We first classify conventional congestion into congestion (newly defined) and technical inefficiency, based on prior research and real applications. Modified definitions and mathematical expression of congestion, managerial inefficiency, and technical inefficiency are proposed to better illustrate the differences between them. Several modified models are provided to identify and recognize those types of inefficiencies and congestion. We then extend the model by considering the desirable and undesirable types of congestion simultaneously. The proposed approach is applied and verified by identifying resource congestion and environmental inefficiencies in China's economic development.

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“…Flegg and Allen [15] applied DEA models to analyze and determine the input congestion in new British universities. Noura et al [27] introduced a new method, called Noura's approach, to identify and determine the amount of the input congestion of DMUs in DEA. Noura's approach requires considerably fewer computations when compared to the other models.…”

Section: Introductionmentioning

confidence: 99%

An input relaxation model for evaluating congestion in fuzzy DEA

Kheirollahi

Hessari

Charles

et al. 2017

Croat. Oper. Res. Rev.

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Abstract. This paper develops a BCC input relaxation model for identifying input congestion as a severe form of inefficiency of decision-making units in fuzzy data envelopment analysis. The possibility approach is presented to obtain the models equivalent to fuzzy models. We use a one-model approach to determine input congestion based on the BCC input relaxation model. A numerical example is given to illustrate the proposed model and identify the congestion with precise and imprecise data. The proposed model is also used to determine the congestion in 16 hospitals using four fuzzy inputs and two fuzzy outputs with a symmetrical triangular membership function.

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A new method for measuring congestion in data envelopment analysis

Cited by 39 publications

References 9 publications

Hybrid generalized contractions

Hybrid generalized contractions

Distinguishing Technical Inefficiency from Desirable and Undesirable Congestion with an Application to Regional Industries in China

An input relaxation model for evaluating congestion in fuzzy DEA

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