Development of the Group Malmquist Productivity Index on non-discretionary Factors


1 Graduate Faculty of Environment and Energy, Science and Research Campus of IAU, P .O. Box 14515-775, Tehran, Iran and School of Mechanical Engineering, Sharif University of Technology, P. O. Box 11155-8639, Tehran, Iran

2 Department of Mathematics, Science and Research Campus of IAU, P .O. Box 14515- 775, Tehran, Iran

3 Graduate Faculty of Environment, University of Tehran, P. O. Box 14155-6135, Tehran, Iran

4 EOR Research Institute, National Iranian Oil Company (NIOC) - Research & Technology Directorate, ZIP Code 1969813771, Tehran, Iran

5 Department of Environmental Management, Science and Research Campus of IAU, P. O. Box 14515-775, Tehran, Iran


Data envelopment analysis (DEA) measures the relative efficiency of a homogenous set of decision-making units (DMUs) when multiple inputs and outputs are present. The DEAbased Malmquist productivity index measuring the productivity change of DMUs over time has proven itself to be a valid tool to compare group performance. However, in the previous models developed for this purpose, it was supposed that all factors were controllable or discretionary. It is noteworthy that in most real cases, there are some inputs and outputs that are non-discretionary or semi-discretionary. Therefore, the main objective of the present study was to develop the DEAbased Malmquist productivity index on such factors to compare group performance at the same period of time. The applicability of the proposed model has been illustrated by the comparison of environmental performance – concerning HSE-MS principles – between the two groups of Iranian and International oil and gas general contractors. Involving the controllability level of factors in comparing group performance, the model offers an scalar that can easily be interpreted to compare the performance of the two groups and to determine the superior performance.