飞机装配作业单元生产能力的马尔可夫分析方法

Producing performance analysis method for aircraft assembly unit based on Markov chain

为实现飞机装配现场的有效控制、优化与作业调度,提出了装配作业单元生产能力的马尔可夫分析方法。分析了手工装配作业周期的随机波动性,采用广义随机Petri网模型描述作业单元动态装配过程,以网模型同构嵌入式马尔可夫链为基础,给出了系统稳定状态下资源利用率和设定状态生产率的计算方法,并结合流平衡理论实现了系统性能界限的快速求解。以某型飞机襟副翼装配作业单元为对象进行了实例验证,结果证明了该方法的有效性。

To realize effective control,optimization and scheduling,a producing performance analysis method for assembly unit based on Markov chain was proposed on aircraft assembly system. The stochastic volatility characteristics of assembly operation cycle were firstly analyzed,a Generalized Stochastic Petri Net（GSPN） model was established to depict dynamic assembly process for assembly unit. Then,based on isomorphism Embedded Markov Chain（EMC） from GSPN,the calculating method for resource utilization rate and system productivity under steady state were presented. Moreover,rapid resolution of system performance limits was realized by combining flow balance theory. In the end,a case of aircraft flapaileron assembly unit was used to demonstrate the effectiveness of the method.