An Extension of Cross Redundancy of Interval Scale Outputs and Inputs in DEA
Joint Authors
Mohammadpour, Mansour
Jahanshahloo, Gholam-Reza
Hosseinzadeh Lotfi, Farhad
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
It is well known that data envelopment analysis (DEA) models are sensitive to selection of input and output variables.
As the number of variables increases, the ability to discriminate between the decision making units (DMUs) decreases.
Thus, to preserve the discriminatory power of a DEA model, the number of inputs and outputs should be kept at a reasonable level.
There are many cases in which an interval scale output in the sample is derived from the subtraction of nonnegative linear combination of ratio scale outputs and nonnegative linear combination of ratio scale inputs.
There are also cases in which an interval scale input is derived from the subtraction of nonnegative linear combination of ratio scale inputs and nonnegative linear combination of ratio scale outputs.
Lee and Choi (2010) called such interval scale output and input a cross redundancy.
They proved that the addition or deletion of a cross-redundant output variable does not affect the efficiency estimates yielded by the CCR or BCC models.
In this paper, we present an extension of cross redundancy of interval scale outputs and inputs in DEA models.
We prove that the addition or deletion of a cross-redundant output and input variable does not affect the efficiency estimates yielded by the CCR or BCC models.
American Psychological Association (APA)
Hosseinzadeh Lotfi, Farhad& Jahanshahloo, Gholam-Reza& Mohammadpour, Mansour. 2013. An Extension of Cross Redundancy of Interval Scale Outputs and Inputs in DEA. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488923
Modern Language Association (MLA)
Hosseinzadeh Lotfi, Farhad…[et al.]. An Extension of Cross Redundancy of Interval Scale Outputs and Inputs in DEA. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-488923
American Medical Association (AMA)
Hosseinzadeh Lotfi, Farhad& Jahanshahloo, Gholam-Reza& Mohammadpour, Mansour. An Extension of Cross Redundancy of Interval Scale Outputs and Inputs in DEA. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488923