RANKING OF DMUS ON INTERVAL DATA BY IMPOSING A MINIMUM WEIGHT RESTRICTION IN DEA

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REZAI BALF F.; SHAHVERDI R.; KAMALGHARIBI MOFRAD K.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:4 Page(s): 333-342

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Information Journal Paper

Title

RANKING OF DMUS ON INTERVAL DATA BY IMPOSING A MINIMUM WEIGHT RESTRICTION IN DEA

Author(s)

REZAI BALF F. | SHAHVERDI R. | KAMALGHARIBI MOFRAD K. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSIS

DEA RANKING

INTERVAL DATA

MAXIMIN WEIGHTS

MINIMUM WEIGHT RESTRICTION

Abstract

In this paper, we present a method for ranking decision making units (DMUs) with INTERVAL DATA in DATA ENVELOPMENT ANALYSIS that is different from the other methods. In this method we use a new pair of interval DEA models that are constructed on the basis of interval arithmetic, which differ from the existing DEA models that work with INTERVAL DATA in fact it is a linear CCR model without a need for extra variable alternations and uses a fixed and unified production frontier (i.e. the same constraint set) to measure the efficiencies of decision making units (DMUs) with interval input and output data. This methodology exerts an appropriate MINIMUM WEIGHT RESTRICTION on all input and output weights which is called maxmin weight. New linear programming (LP) model constructs proportion with each efficient unit for determining maximin weight. Choosing a maxmin weight, all efficient units put in order as fully or partially. One numerical example is inspected using the proposed ranking methodology to illustrate its ability in discriminating between DEA efficient unit with INTERVAL DATA.

Cites

RANKING STOCHASTIC EFFICIENT DMUS BASED ON RELIABILITY

References

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APA: Copy

REZAI BALF, F., SHAHVERDI, R., & KAMALGHARIBI MOFRAD, K.. (2009). RANKING OF DMUS ON INTERVAL DATA BY IMPOSING A MINIMUM WEIGHT RESTRICTION IN DEA. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(4), 333-342. SID. https://sid.ir/paper/583525/en

Vancouver: Copy

REZAI BALF F., SHAHVERDI R., KAMALGHARIBI MOFRAD K.. RANKING OF DMUS ON INTERVAL DATA BY IMPOSING A MINIMUM WEIGHT RESTRICTION IN DEA. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(4):333-342. Available from: https://sid.ir/paper/583525/en

IEEE: Copy

F. REZAI BALF, R. SHAHVERDI, and K. KAMALGHARIBI MOFRAD, “RANKING OF DMUS ON INTERVAL DATA BY IMPOSING A MINIMUM WEIGHT RESTRICTION IN DEA,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 4, pp. 333–342, 2009, [Online]. Available: https://sid.ir/paper/583525/en

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