基于灰色广义随机Petri网的产品装配过程可靠性建模与分析

以产品的装配工步为研究对象,提出了基于灰色广义随机Petri网（GGSPN）的产品装配可靠性建模方法。首先,通过对装配过程中各道工步之间的装配关系分析,建立产品装配过程的GGSPN模型;其次,采用基本随机Petri网模型及其性能等价公式对GGSPN模型进行简化;再次,针对装配过程故障信息的贫信息不确定性问题,在广义随机Petri网模型的变迁激发率中引入灰数进行优化处理;然后,针对建立的产品装配过程可靠性模型,求解出用灰数表示的稳态概率并对其进行白化处理,再通过对产品装配过程的可靠性分析,提出可靠性控制的改进措施;最后,以某齿轮油泵装配过程为例,验证了该方法的可行性。

Reliability Modeling and Analysis of Assembly Process of Products Based on GGSPN

Aiming at the assembly step of products, the paper put forward a modeling method based on GGSPN focusing on the assembly reliability of products. First of all, the GGSPN model during the assembly process of products was set up before which the assembly relation analysis among various assembly steps was done. Secondly, the simplication of the GGSPN model was realized based on the basic stochastic Petri net model and the equivalenced-performance equation. Thirdly, according to the uncertain lack-of-information problems of failure information during the assembly process, the paper employed grey numbers into the generalized stochastic Petri net model to optimize the vicissitude stimulating rate. Moreover, the stable-state probability represented by grey numbers and the whitenization were worked out directing at the set-up reliability model of the assembly process of products. After the reliability analysis during the assembly process, the improved measures of reliability control were carried out. In the end, the feasibility of the mentioned method was proved by the assembly process of a gear oil pump as example.