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

H. Dibachi; M. H. Behzadi; M. Izadikhah

doi:10.17485/ijst/2015/v8i15/75304

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

H. Dibachi ¹, M. H. Behzadi ¹, M. Izadikhah ²

Affiliations
1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
2 Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, Iran, Islamic Republic of

Abstract
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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.