基于SIR流行模型的装配过程缺陷传播研究

Mengyao Wu, W. Dai, Yu Zhao
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引用次数: 2

摘要

在制造领域,最终产品的质量和成本在很大程度上取决于装配过程。由于装配过程中缺陷蒸汽的演化规律与SIR模型中的疾病传播规律具有相似性,因此将SIR模型应用于装配过程。首先对SIR模型进行了简要介绍,并对其适用性进行了分析。然后结合SIR流行病模型建立了装配过程缺陷模型。讨论了基本再生数R0≤1和R0 >1时缺陷的消失和持续。其次,通过理论推导和仿真实验对结论进行了验证。最后,对现有模型的不足进行了讨论,并提出了今后工作的方向。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Research on the Propagation of Defects in Assembly Process Based on SIR Epidemic Model
In the manufacturing field, the final product quality and cost are heavily determined by assembly process. As the evolution law of defect steams in assembly process has similarities with the disease propagation in SIR model, SIR model was applied to assembly process. Firstly, we give a brief introduction to the SIR model and analyze its applicability. Then the defect model of assembly process was established combined with SIR epidemic model. The extinction and persistence of defects when the basic reproduction number R0 ≤1 and R0 >1 were discussed. Next, we proofed the conclusion with theoretical derivation and simulation experiment. Finally, the disadvantages of exist model were discussed and the direction of future work was put forward.
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