Mixed input and output orientations of Data Envelopment Analysis with Linear Fractional Programming and Least Distance Measures

  • Qaiser Farooq Dar Department of Statistics Pondicherry University kalapet pondicherry-605014
  • Tirupathi Rao Padi Department of Statistics Pondicherry University kalapet pondicherry-605014
  • Arif Muhammad Tali Department of Statistics, Pondicherry University, kalapet pondicherry-605014.
DOI: https://doi.org/10.19139/soic.v4i4.225
Keywords: Linear fractional programming, Data Envelopment Analysis, Decision Making Unit’s Mixed-orientation, Least-Distance Measure.

Abstract

Data Envelopment Analysis (DEA) is an optimization technique to evaluate the efficiency of Decision- Making Units (DMU’s) together with multiple inputs and multiple outputs on the strength of weighted input and output ratios, where as Linear fractional programming is used to obtain DEA frontier. The efficiency scores of DMU obtained through either input orientation or output orientation DEA model will provide only local optimum solution. However, the mixed orientation of input and output variables will provide the global optimal solution for getting the efficient DMUs in DEA. This study has proposed the relationships of a mixed orientation of input and output variables using fractional linear programming along with Least-Distance Measure (LDM). Both constant returns to scale (CRS) and variable returns to scale (VRS) are considered for the comparative study. 

Author Biographies

Qaiser Farooq Dar, Department of Statistics Pondicherry University kalapet pondicherry-605014
 Mr.Qaiser Farooq Dar, Research scholar in the Department of Statistics Pondicherry University, kalapet Pondicherry -605014
Tirupathi Rao Padi, Department of Statistics Pondicherry University kalapet pondicherry-605014
Dr. P. Tirupathi Rao, Associate Professor and Head,             Department of Statistics, Pondicherry University, kalapet Pondicherry -605014 kalapet Pondicherry -605014
Arif Muhammad Tali, Department of Statistics, Pondicherry University, kalapet pondicherry-605014.
Mr.Arif Muhammad Tali, Research scholar in the Department of Statistics Pondicherry University, kalapet Pondicherry -605014Research scholar in the Department of Statistics Pondicherry University kalapet Pondicherry -605014

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Published
2016-12-07
How to Cite
Dar, Q. F., Padi, T. R., & Tali, A. M. (2016). Mixed input and output orientations of Data Envelopment Analysis with Linear Fractional Programming and Least Distance Measures. Statistics, Optimization & Information Computing, 4(4), 326-341. https://doi.org/10.19139/soic.v4i4.225
Issue
Vol 4 No 4 (2016)
Section
Research Articles
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