Authors: Reza Shahverdi; Ali Ebrahimnejad
Addresses: Department of Mathematics, Qaemshahr Branch, Islamic Azad University, P.O. Box 163, Qaemshahr, Iran ' Department of Mathematics, Qaemshahr Branch, Islamic Azad University, P.O. Box 163, Qaemshahr, Iran
Abstract: Data envelopment analysis (DEA) is a method to estimate a relative efficiency of decision-making units (DMUs) performing similar tasks in a production system that consumes multiple inputs to produce multiple outputs. The Malmquist productivity index indicates the progress or regress of each decision-making unit in DEA. This index is based on two factors of efficiency change index and a technological change index. The Malmquist index compares any unit relative to other units and itself past situation. Therefore, this act is achieved in two time periods. In this article, we introduce an approach for calculating progress or regress for set of DMUs. In this method, the Malmquist productivity index is defined in order to set of decision-making units in two time periods. Here, we suppose that all units are divided into two groups. Then we calculate the rate of progress or regress each of two groups, relative to itself past position and others. Finally, this technique is used on the set of real data.
Keywords: data envelopment analysis; DEA; Malmquist productivity index; programme efficiency; ranking; performance measurement; group performance; decision-making units; DMUs; efficiency change; technological change.
International Journal of Industrial and Systems Engineering, 2014 Vol.16 No.3, pp.382 - 395
Available online: 28 Mar 2014 *Full-text access for editors Access for subscribers Purchase this article Comment on this article