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.

中文翻译：

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衡量经济生产力变化的全球 Malmquist 指数

数据包络分析是一种衡量决策单位绩效的非参数方法——它不需要拥有或计算企业的生产函数，而这通常很难计算。对于任何管理者来说，他们所管理的事物的进展或挫折都很重要，因为它使组织或决策单位对未来政策的规划和采用更加合理和科学。已经使用不同的方法来计算使用 Malmquist 指数的改进和回归。在这篇文章中，我们从经济效率方面评估了被审查单位，从几个时期的支出、生产、收入和利润方面评估了这些单位，以及这些单位中每一个的改善或回归率。考虑到最小的资源使用和消耗更少的钱，为了产生更多的收入和最大化利润，通过提出一种基于使用生产力指数求解线性规划模型的方法是 Malmquist 和 Malmquist Global，研究了接收者决策单元在成本、收入和利润方面的改进或撤退。最后，通过设计和求解一个数值例子，我们强调并测试了本文所介绍材料的适用性。