一类并联系统效率评估与资源配置分析模型

Efficiency Assessment and Resource Allocation Analysis for Parallel Production System Based on DEA

针对一类并联生产系统的生产可能集,在规模收益可变假设下无法由其内部各子生产单元的生产可能集凸包直接刻画出来的问题,本文系统地研究了并联生产系统在规模收益可变情况下的效率评价方法、性质以及资源配置含义。本文提出了并联系统中两类不同的技术效率:DMU内部技术效率及DMU技术效率,并,以两者之比来反映DMU内部的资源配置状况。最后,以一个仿真实验来进一步分析所构建模型的特性。

Aiming at the problem with a panicular parallel production system that the variable returns to scale production possibility set(PPS) of decision making units(DMUs) can not be directly characterized by the convex hull of PPS's of Sub-DMUs(SDMUs),this paper studies the efficiency assessment model,its relevant properties,and the implications of resource allocation of the parallel production system.It proposes two different definitions of technical efficiencies:DMU internal technical efficiency and DMU technical efficiency.The ratio of the two indicators is used to reflect the performance of the internal resource allocation of DMU.Finally,a simulation experiment is used to study the proposed models deeply.