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Optimization of the LCD optical film cutting problem

机译：LCD光学膜切割问题的优化

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摘要

The manufacturing of liquid crystal display (LCD) plays an important role in electronics manufacturing industries, such as televisions, smart phones, pads, laptops, monitors and electronic appliances. Due to the fact that the cost of LCD's film materials may reach 60-70% of the production cost, appropriate cutting schemes can lead to better raw material utilisation and thus enhance manufacturers' profitability. Accordingly, the determination of the optimal production plan for cutting different-sized LCD optimal films with the designed cutting angles to fulfil the customers' orders is a critical issue for the LCD industry. In the past, few studies integrated the different cutting allocation strategies into a synthetic decision. This study proposes a mathematical programming model for the two-stage cutting problem for LCD optical films to determine the optimal cutting allocation strategy with consideration of the costs of raw materials, processing and disposal during the manufacturing process. For large-scale problems in which the runtime for obtaining the optimal solution may grow exponentially as the problem size increases, a heuristic algorithm is also provided to obtain the approximate solution within a reasonable time. Finally, the results of the practical case shows that, compared with the existing fixed-angle cutting method, the proposed approach reduces the total cost by 6.2% due to the better material utilisation. In addition, the processing cost is also reduced due to a decrease in the required materials.
机译：液晶显示器（LCD）的制造在电子制造行业中扮演着重要角色，例如电视，智能电话，平板电脑，笔记本电脑，显示器和电子设备。由于LCD薄膜材料的成本可能达到生产成本的60-70％，因此适当的切割方案可以提高原材料利用率，从而提高制造商的盈利能力。因此，确定用于以设计的切割角度切割不同尺寸的LCD最佳薄膜以满足客户订单的最佳生产计划是LCD行业的关键问题。过去，很少有研究将不同的采伐分配策略整合到一个综合决策中。这项研究针对LCD光学薄膜的两阶段切割问题提出了一种数学编程模型，以在考虑制造过程中原材料成本，加工和处置成本的情况下确定最佳切割分配策略。对于大规模问题，其中获得最佳解的运行时间可能会随着问题大小的增加而呈指数增长，因此还提供了一种启发式算法，以在合理的时间内获得近似解。最后，实际案例的结果表明，与现有的固定角度切割方法相比，由于更好地利用了材料，所提出的方法将总成本降低了6.2％。另外，由于所需材料的减少，加工成本也降低了。

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