斗链装配线的建模与平衡点特性

Modeling and Balance Point Characteristics of Bucket Brigades Assembly Line

根据工位约束条件的不同,将斗链装配线分为BBAL-1、BBAL-2和BBAL-3共3种类型;针对不同类型的组织规则,分别建立数学模型,并对其自平衡性和自组织性进行对比.证明了BBAL-1和BBAL-2存在唯一的平衡点,且具有从任意状态收敛至平衡状态的良好的自组织性;而BBAL-3因工位条件的改变,平衡点的存在具有不确定性,若存在平衡点,其可以在平衡点处实现自平衡,但缺乏从任意状态收敛至平衡状态的自组织性.文中最后通过对3类斗链装配线的数值仿真,对上述结论进行了验证.

According to the difference in station constraints,the bucket brigades assembly line （BBAL） is divided into three types,namely BBAL-1,BBAL-2 and BBAL-3,and the corresponding mathematical models are established to comparatively investigate the self-balancing and self-organizing performance of the three types of BBALs.It is found that （1） both BBAL-1 and BBAL-2 possess only one balance point and good convergence from any states to the balance point; （2） the balance point of BBAL-3 is of uncertainty; and （3） BBAL-3 becomes self-balanced at the balance point if the point exists,even though it cannot converge to the balance point from any states.The above-mentioned conclusions are finally proved by numerical simulations.