Global malmquist index for measuring the economic productivity changes

Abstract

Data envelopment analysis is a nonparametric method for measuring of the performance of decision-making units—which do not need to have or compute a firm’s production function, which is often difficult to calculate. For any manager, the progress or setback of the thing they manage is important because it makes planning and adoption of future policies for the organization or decision-making unit more rational and scientific. Different methods have been used to calculate the improvements and regressions using Malmquist Index. In this article, we evaluate the units under review in terms of economic efficiency, and the units in terms of spending, production, revenue and profit over several periods, and the rate of improvement or regression of each of these units. Considering the minimal use of resources and consuming less money, generating more revenue, and maximizing profits, the improvement or retreat of the recipient’s decision unit in terms of cost, revenue, and profit was examined by presenting a method based on solving linear programming models using the productivity index is Malmquist and Malmquist Global. Finally, by designing and solving a numerical example, we emphasize and test the applicability of the material presented in this article.

International acquisitions and efficiency and productivity of the Serbian cement industry

“…The Malmquist indices provide a more complete picture of the performance of the observed entities and show a trend of changes from period to period, while window analysis can increase the number of units observed and show a trend using panel data. Mombini et al. (2020, p. 6) emphasise that “calculating the Malmquist productivity index is a very useful and applicable system for determining the progress and regress of a system and helps managers in future decisions and policies of the system and leads to improved productivity”.…”

An Innovative Study to Evaluate the Treatment Efficiency of Percutaneous Nephrolithotomy by DEA

“…Consequently, as defined above, the matrix model of the Malmquist index for group comparison can be given as [7][8][9] A detailed recent development about DEA under Malmquist context can be found in [20]. Due to the nature of the data used in this study, this model is not intended to maximize outcomes, but rather to minimize it.…”