Saman Malekian - Department of Industrial Engineering, Islamic Azad University, Arak, Iran, Department of Mathematics, Islamic Azad University, Arak, Iran
Mohammad Izadikhah - Department of Industrial Engineering, Islamic Azad University, Arak, Iran, Department of Mathematics, Islamic Azad University, Arak, Iran

In this paper we propose a new approach based on chance constrained data envelopment analyses (CCDEA) with birandom input and output data to calculate Malmquist productivity index (MPI) . In the traditionalDEA-based MPI the input and output data are deterministic but the data in the real-life are often stochastic The stochastic input and output data in DEA can be represented with random variables that we use thebirandom data to bring up CCDEA-based MPI. This version compared to the orginal version is more flexible and more comprehensively ,in addition to , the results are closer to reality . The proposed new approach is used to evaluate and compute the productivity growth of maintenance groups of iranian aluminium company (IRALCO).

malmquist productivity index ; Data Envelopment Analysis ; chance constraints ; birandom variables ; IRALCO