生产效率是在固定投入量下，制程的实际产出与最大产出两者之间的比率。其可以直观有效的分析资源利用的有效性以及地区发展情况。随着社会的发展，提高生产效率对于一个地区的经济提升有着重要意义。本文以黑龙江省为例，运用DEA模型以及Malmquist生产率指数，从农业、工业以及能源三种角度来分析其各自对于黑龙江省生产效率的影响。通过结果得出，黑龙江在工业上的投入的使用率最为可观，资源浪费较少，而能源的投入则表现出使用率低下的现象。建议合理分配要素投入，提高改善技术，以达到资源的有效利用。

关键词：生产效率、DEA模型、Malmquist指数

Production efficiency is the ratio between the actual output and the maximum output of the process under a fixed input. It can intuitively and effectively analyze the effectiveness of resource utilization and regional development. With the development of society, improving production efficiency is of great significance to the economic improvement of a region. Taking Heilongjiang Province as an example, this paper uses DEA model and Malmquist productivity index to analyze the impact of agriculture, industry and energy on the production efficiency of Heilongjiang Province. The results show that the utilization rate of industrial input in Heilongjiang province is the most considerable, and the waste of resources is less, while the utilization rate of energy input is low. In order to achieve the effective utilization of resources, it is suggested to rationally allocate the input of factors and improve the technology.

Keywords：Production Efficiency, DEA, Malmquist Index