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

摘要

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.