CHARACTERIZING AND NDING FULL DIMENSIONAL ECIENT FACETS OF PPS WITH CONSTANT RETURNS TO SCALE TECHNOLOGY

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JAHANSHAHLOO G.R.; ROSHDI I.; DAVTALAB OLYAIE M.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:2 Page(s): 149-159

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Title

CHARACTERIZING AND NDING FULL DIMENSIONAL ECIENT FACETS OF PPS WITH CONSTANT RETURNS TO SCALE TECHNOLOGY

Author(s)

JAHANSHAHLOO G.R. | ROSHDI I. | DAVTALAB OLYAIE M. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSISQ2

PRODUCTION POSSIBILITY SETQ2

WEIGHTS AND MULTIPLIERSQ2

FULL DIMENSIONAL EFFICIENT FACETQ2

POLYHEDRAL SETQ2

MIXED INTEGER LINEAR PROGRAMMINGQ2

Abstract

In DEA (DATA ENVELOPMENT ANALYSIS), the Full Dimensional Efficient Facets (FDEFs) of PPS (Production Possibility Set) play a significant role and have many useful applications. In this research, we, first, provide a detailed characterization of the structure of FDEFs of the PPS with constant returns to scale technology, using basic concepts of the POLYHEDRAL SETs theory. Then, using the mentioned characterization together with a MIXED INTEGER LINEAR PROGRAMMING, we propose an effective algorithm for finding all of the FDEFs of the PPS. We will elaborate on our algorithm by an illustrative example.

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APA: Copy

JAHANSHAHLOO, G.R., ROSHDI, I., & DAVTALAB OLYAIE, M.. (2013). CHARACTERIZING AND NDING FULL DIMENSIONAL ECIENT FACETS OF PPS WITH CONSTANT RETURNS TO SCALE TECHNOLOGY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(2), 149-159. SID. https://sid.ir/paper/231726/en

Vancouver: Copy

JAHANSHAHLOO G.R., ROSHDI I., DAVTALAB OLYAIE M.. CHARACTERIZING AND NDING FULL DIMENSIONAL ECIENT FACETS OF PPS WITH CONSTANT RETURNS TO SCALE TECHNOLOGY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(2):149-159. Available from: https://sid.ir/paper/231726/en

IEEE: Copy

G.R. JAHANSHAHLOO, I. ROSHDI, and M. DAVTALAB OLYAIE, “CHARACTERIZING AND NDING FULL DIMENSIONAL ECIENT FACETS OF PPS WITH CONSTANT RETURNS TO SCALE TECHNOLOGY,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 2, pp. 149–159, 2013, [Online]. Available: https://sid.ir/paper/231726/en

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