Stochastic Modified MAJ Model for Measuring the Efficiency and Ranking of DMUs

H  Dibachi; M  H  Behzadi   and M  Izadikhah

doi:10.17485/ijst/2015/v8iS8/71505

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Stochastic Modified MAJ Model for Measuring the Efficiency and Ranking of DMUs

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8iS8/71505

Year: 2015, Volume: 8, Issue: Supplementary 8, Pages: 1-7

Original Article

Stochastic Modified MAJ Model for Measuring the Efficiency and Ranking of DMUs

H. Dibachi ^{1 *}, M. H. Behzadi ¹ and M. Izadikhah²

¹Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran; [email protected], [email protected]
² Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, Iran; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The present study focuses on the extention of modified MAJ model in stochastic-data presence. To this aim, a stochastic modified MAJ model in stochastic data envelopment analysis (SDEA) is proposed for measuring the stochastic α-efficiency of decision-making units (DMUs) with normal-distribution inputs and outputs. Furthermore, stochastic super efficiency based on modified MAJ model is proposed for ranking stochastic α-efficient DMUs in stochastic modified MAJ model. Finally, a numerical example is presented to demonstrate the proposed idea.
Keywords: Maj Model, Modified Maj Model, Stochastic Data Envelopment Analysis, Stochastic Modified Stochastic Super Efficiency Model