ROBUSTNESS OF DEA MODELS TO IDENTIFY WORST-PRACTICE DMUS

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ARABMALDAR A.; SALJOOGHI F.H.

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Journal: Journal of Operational Research in its Applications Year:2017 | Volume:14 | Issue:3 (54) Page(s): 35-53

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Information Journal Paper

Title

ROBUSTNESS OF DEA MODELS TO IDENTIFY WORST-PRACTICE DMUS

Author(s)

ARABMALDAR A. | SALJOOGHI F.H. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSISQ3

ROBUST OPTIMIZATIONQ1

UNCERTAINTYQ1

WORST-PRACTICEQ2

RANKINGQ1

Abstract

Original DATA ENVELOPMENT ANALYSIS (DEA) models are to evaluate each decision-making unit (DMU) with a set of most favorable weights of performance indices to finding WORST-PRACTICE DMUs. Indeed, classical DEA models evaluate each of the DMU compared to the most effective one. Since in this way the relative efficiency is calculated, at least one of the DMUs are located on the efficiency frontier. In comparison to classical DEA models, there are other DEA models, which evaluate DMUs based on unfavorable scenario and by making the inefficiency frontier, identify the DMUs with the WORST-PRACTICE performance. The efficient DMUs obtained from the original DEA construct an efficient (best-practice) frontier. In this paper, by using the ROBUST OPTIMIZATION approaches, we propose two models to evaluate DMUs in the WORST-PRACTICE sense, and our aim is to obtain DMUs with the WORST-PRACTICE performance in problems that faced with UNCERTAINTY in data. Also, to rank the DMUs with WORST-PRACTICE we use the super-efficiency concept and called it super-inefficient. By using of two numerical examples, we demonstrate the capability of the proposed models in the presentation of reliable RANKING and finding the WORST-PRACTICE DMUs.

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APA: Copy

ARABMALDAR, A., & SALJOOGHI, F.H.. (2017). ROBUSTNESS OF DEA MODELS TO IDENTIFY WORST-PRACTICE DMUS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 14(3 (54) ), 35-53. SID. https://sid.ir/paper/164637/en

Vancouver: Copy

ARABMALDAR A., SALJOOGHI F.H.. ROBUSTNESS OF DEA MODELS TO IDENTIFY WORST-PRACTICE DMUS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2017;14(3 (54) ):35-53. Available from: https://sid.ir/paper/164637/en

IEEE: Copy

A. ARABMALDAR, and F.H. SALJOOGHI, “ROBUSTNESS OF DEA MODELS TO IDENTIFY WORST-PRACTICE DMUS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 14, no. 3 (54) , pp. 35–53, 2017, [Online]. Available: https://sid.ir/paper/164637/en

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