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Component partitioning under demand and capacity uncertainty in printed circuit board assembly

机译:印刷电路板组装中需求和容量不确定性下的组件划分

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This paper considers the problem of configuring a printed circuit board (PCB) assembly line experiencing uncertainty in demand and capacity. The PCB assembly process involves a single line of automatic placement machines, a variety of board types, and a number of component types. The line is set up only once, at the beginning of a production cycle, to eliminate setups between board types. Using this strategy, the line therefore can assemble all different types of PCBs without feeder changes. Theproblem then becomes to partition component types to the different machines in the hope of processing all boards quickly with a good workload balance. In this paper, the board demands and machine breakdowns are random but follow some probabilitydistribution, which can be predicted from past observations of the system. We formulate this problem as a stochastic mixed-integer programming formulation with the objective of minimizing the expected makespan for assembling all PCBs during a productioncycle. The results obtained indicate significant improvement over the existing methods. We hope that this research will provide more PCB assembly facilities with models and techniques to hedge against variable forecasts and capacity plans.
机译:本文考虑配置需求和容量不确定的印刷电路板(PCB)生产线的问题。 PCB组装过程涉及单行自动贴装机,各种电路板类型和多种组件类型。在生产周期开始时,该生产线仅设置一次,以消除电路板类型之间的设置。因此,使用这种策略,生产线可以组装所有不同类型的PCB,而无需更换供料器。然后,问题就变成了将组件类型划分到不同的机器上,以期在良好的工作负载平衡下快速处理所有板。在本文中,电路板需求和机器故障是随机的,但遵循一定的概率分布,这可以从系统的以往观察中预测出来。我们将此问题公式化为随机混合整数编程公式,目的是最大程度地减少在生产周期内组装所有PCB的预期制造时间。获得的结果表明,与现有方法相比有显着改进。我们希望这项研究将为更多的PCB组装设施提供模型和技术,以对冲可变的预测和产能计划。

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