A new slacks-based measure of Malmquist-Luenberger index in the presence of undesirable outputs

作者：Arabi Behrouz^*; Munisamy Susila; Emrouznejad Ali

来源：Omega-International Journal of Management Science, 2015, 51: 29-37.

DOI：10.1016/j.omega.2014.08.006

• Data Envelopment Analysis
• Directional Distance Function
• Eco-Efficiency Change

In the majority of production processes, noticeable amounts of bad byproducts or bad outputs are produced. The negative effects of the bad outputs on efficiency cannot be handled by the standard Malmquist index to measure productivity change over time. Toward this end, the Malmquist-Luenberger index (MLI) has been introduced, when undesirable outputs are present In this paper, we introduce a Data Envelopment Analysis (DEA) model as well as an algorithm, which can successfully eliminate a common infeasibility problem encountered in MLI mixed period problems. This model incorporates the best endogenous direction amongst all other possible directions to increase desirable output and decrease the undesirable outputs at the same time. A simple example used to illustrate the new algorithm and a real application of steam power plants is used to show the applicability of the proposed model.

• 出版日期2015-3