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Article

The Overall Assurance Interval for the Non-Archimedean Epsilon in DEA Models

by
B. Daneshian
1,
G. R. Jahanshahloo
2,
F. Hosseimzadeh Lotfi
3,
T. Allahviranloo
3,* and
S. Mehrabian
2
1
Dept. of Mathematics, Lahijan Branch, Islamic Azad University, Tehran, Iran
2
Dept. of Mathematics, Teacher Training University, Tehran, Iran
3
Dept. of Mathematics, Science & Research Branch, Islamic Azad Univ, Tehran, Iran
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2005, 10(3), 387-393; https://doi.org/10.3390/mca10030387
Published: 1 December 2005

Abstract

Mehrabian, et. al. (1998) presented a procedure for determining overall assurance interval of ε. Solving n linear programs are needed for this propose, where n is the number of Decision Making Units involved in the evaluation. This paper proposes an efficient algorithm that can determine the overall assurance interval of ε by solving a few number of linear programs.
Keywords: Data Envelopment Analysis; Non-Archimedean Infinitesimal Data Envelopment Analysis; Non-Archimedean Infinitesimal

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MDPI and ACS Style

Daneshian, B.; Jahanshahloo, G.R.; Lotfi, F.H.; Allahviranloo, T.; Mehrabian, S. The Overall Assurance Interval for the Non-Archimedean Epsilon in DEA Models. Math. Comput. Appl. 2005, 10, 387-393. https://doi.org/10.3390/mca10030387

AMA Style

Daneshian B, Jahanshahloo GR, Lotfi FH, Allahviranloo T, Mehrabian S. The Overall Assurance Interval for the Non-Archimedean Epsilon in DEA Models. Mathematical and Computational Applications. 2005; 10(3):387-393. https://doi.org/10.3390/mca10030387

Chicago/Turabian Style

Daneshian, B., G. R. Jahanshahloo, F. Hosseimzadeh Lotfi, T. Allahviranloo, and S. Mehrabian. 2005. "The Overall Assurance Interval for the Non-Archimedean Epsilon in DEA Models" Mathematical and Computational Applications 10, no. 3: 387-393. https://doi.org/10.3390/mca10030387

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