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基于有序二叉决策图的装配序列符号表示方法

Symbolic Representation of Assembly Sequences Using Ordered Binary Decision Diagrams

  • 摘要: 通过建立装配状态的二进制编码和装配操作的布尔特征函数,给出了装配序列描述的有序二叉决策图(OBDD)方法;建立了从装配序列的与或图模型到OBDD模型的转换规则;并对装配序列表示的与或图模型和OBDD模型进行了存储效率比较.实验结果表明:OBDD方法具有较好的存储性能,可以改善复杂装配体的装配序列表示的存储效率,适合于复杂装配体的可行装配序列的描述.

     

    Abstract: By encoding the assembly states with binary variables and establishing the Boolean characteristic functions of assembly operations,a novel symbolic scheme to represent assembly sequences is proposed using ordered binary decision diagrams (OBDD).In terms of the assembly states and assembly operations corresponding to AND arcs and nodes in an AND/OR graph,the procedures to translate traditional AND/OR graphs to OBDD models are presented. Experimental tests are executed to compare the storage space of AND/OR graph with that of OBDD.The results show that OBDD scheme has the competitive advantages of efficient manipulations and storage spaces for complete and feasible assembly sequences against the AND/OR graphs.

     

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