非独立并联生产系统的DEA效率评价研究

对复杂生产系统进行效率评价,是改善其生产效率的基础.针对非独立并联结构生产系统的效率评价问题开展研究.首先,将两阶段非独立并联生产系统等价为先并联后串联结构的混联生产系统;其次,将混联生产系统的整体效率定义为各串联子系统效率的乘积,而各个串联子系统的效率则定义为内部各并联子系统效率的加权和,并给出了对应的DEA效率评价模型;最后,有关定理和算例分析证实了该模型能更合理地评价此类生产系统的技术效率,能够更大程度地挖掘系统整体性能改善的潜力.

DEA efficiency evaluation of production systems with dependent parallel structure

DEA efficiency evaluation of complex production systems is an important tool to help to improve the operational efficiency.The current paper focuses on the efficiency evaluation problem for non-independent parallel production systems.Firstly,the two-stage non-independent parallel production system is equivalent to be treated as an integrated system which consists of first-level serial subsystems and second-level parallel subsystems.Secondly,the efficiency score of the integrated system is defined as the product of the efficiency scores of the first-level serial subsystems,and the efficiency score of the first-level serial subsystem is defined as the weighted sum of the efficiency scores of the second-level parallel subsystems.The corresponding DEA efficiency evaluating model is also proposed.Finally,the related theorems and a numerical example illustrate that the proposed model can rate the technique efficiencies more reasonably and can find out the potential for system improvement more greatly.