UTILIZING MONTE CARLO METHOD FOR RANKING EXTREME EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

JAHANSHAHLOO GH.R.; ZAHEDI SERESHT M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2015 | Volume:1 | Issue:1 Page(s): 23-40

Download Full-Text

Persian Verion

View:

1,138

Download:

164

Cites:

Information Journal Paper

Title

UTILIZING MONTE CARLO METHOD FOR RANKING EXTREME EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS

Author(s)

JAHANSHAHLOO GH.R. | ZAHEDI SERESHT M. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSISQ2

EFFICIENCYQ2

RANKINGQ1

MONTE CARLO SIMULATIONQ2

CROSS-EFFICIENCYQ2

SUPPER-EFFICIENCYQ2

Abstract

DATA ENVELOPMENT ANALYSIS (DEA) is a mathematical programming method for calculating EFFICIENCY of decision making units (DMU). In calculating the EFFICIENCY score of units through DEA we may come up with some efficient units. But the question is among these efficient units which of them is better. As we know, it is possible to rank inefficient units through EFFICIENCY score; however, for RANKING efficient units it is not helpful and other methods should be developed in these regards. To obviate this problem there have been so many attempts in the literature which have their pros and cons. CROSS-EFFICIENCY method was first introduced by Sexon et al. for RANKING efficient units. The major problem of this method is alternative optimal solutions in each model which must be solved for each DMU. Another problem of this method is dependency of obtained solutions on the solution obtained by other units. Another method which has widely been used is super EFFICIENCY, presented by Anderson and Petersen. There are several flaws in their suggested method. Infeasibility, instability, dependency of the model on the input and output orientation and non-zero slack variables are the weaknesses of this method which may occur in specific problems. This article is an attempt to present a method which does not have the aforementioned problems and can be utilized to calculate the rank of extreme efficient units through using the Hit or Miss Monte Carlo method. At the end of the article some examples are made in order to show the EFFICIENCY of the presented method.

Cites

No record.

References

No record.

Cite

APA: Copy

JAHANSHAHLOO, GH.R., & ZAHEDI SERESHT, M.. (2015). UTILIZING MONTE CARLO METHOD FOR RANKING EXTREME EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 1(1), 23-40. SID. https://sid.ir/paper/257255/en

Vancouver: Copy

JAHANSHAHLOO GH.R., ZAHEDI SERESHT M.. UTILIZING MONTE CARLO METHOD FOR RANKING EXTREME EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2015;1(1):23-40. Available from: https://sid.ir/paper/257255/en

IEEE: Copy

GH.R. JAHANSHAHLOO, and M. ZAHEDI SERESHT, “UTILIZING MONTE CARLO METHOD FOR RANKING EXTREME EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 1, no. 1, pp. 23–40, 2015, [Online]. Available: https://sid.ir/paper/257255/en

Related Journal Papers