COMBINATION OF DEA AND PCA FOR FULL RANKING OF DECISION MAKING UNITS

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KHAZAEI M.; IZADBAKHSH H.R.

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Journal: Industrial Management Journal Year:2009 | Volume:1 | Issue:2 Page(s): 55-70

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Title

COMBINATION OF DEA AND PCA FOR FULL RANKING OF DECISION MAKING UNITS

Author(s)

KHAZAEI M. | IZADBAKHSH H.R. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSISQ2

LINEAR PROGRAMMINGQ2

PRINCIPAL COMPONENT ANALYSISQ2

VARIABLE SELECTIONQ3

FULL RANKINGQ3

Abstract

This paper presents a combination of DATA ENVELOPMENT ANALYSIS (DEA) and PRINCIPAL COMPONENT ANALYSIS (PCA) to reduce the dimensionality of data set. DEA is known as effective tool for assessment and benchmarking. The weak point of DEA, it is that the number of efficient DMUs relies on the number of variables (inputs and outputs). For solving this, first, we do PRINCIPAL COMPONENT ANALYSIS (PCA) on the ratios of a single output to a single input. In order to reduce the dimensionality of data set, the required principal components have been selected from the generated ones according to the given choice principle. Then a linear monotone increasing data transformation is made to the chosen principal components to avoid being negative. Finally, the transformed principal components are treated as outputs into DATA ENVELOPMENT ANALYSIS (DEA) models. One of the main differences of this model versus previous models is that this one's multi objective model. We used this approach to rank the bank branches of Tehran.

Cites

References

COMBINATION OF PARAMETRIC AND NON-PARAMETRIC MODELS TO RANK THE ELECTRICITY DISTRIBUTION COMPANIES

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APA: Copy

KHAZAEI, M., & IZADBAKHSH, H.R.. (2009). COMBINATION OF DEA AND PCA FOR FULL RANKING OF DECISION MAKING UNITS. JOURNAL OF INDUSTRIAL MANAGEMENT, 1(2), 55-70. SID. https://sid.ir/paper/139950/en

Vancouver: Copy

KHAZAEI M., IZADBAKHSH H.R.. COMBINATION OF DEA AND PCA FOR FULL RANKING OF DECISION MAKING UNITS. JOURNAL OF INDUSTRIAL MANAGEMENT[Internet]. 2009;1(2):55-70. Available from: https://sid.ir/paper/139950/en

IEEE: Copy

M. KHAZAEI, and H.R. IZADBAKHSH, “COMBINATION OF DEA AND PCA FOR FULL RANKING OF DECISION MAKING UNITS,” JOURNAL OF INDUSTRIAL MANAGEMENT, vol. 1, no. 2, pp. 55–70, 2009, [Online]. Available: https://sid.ir/paper/139950/en

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