Predicting the Distribution of Product Completion Time in Multi-Product Manufacturing Systems

Jing Huang, Q. Chang, J. Arinez
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引用次数: 1

Abstract

Product completion time is a random variable resulting from the random disturbances in production systems that delay the processing of products unexpectedly. Existing methods for product completion time prediction mostly predict its mean value. However, mean value only accounts for the first moment of a probability distribution, and is not sufficient for depicting the full spread of the product completion time. In this paper, we propose a novel method for predicting the probability distribution of production completion time by combining system model and deep learning. The original data collected from the plant floor are boosted through a model-based oversampling process. The location family of Tweedie distribution is discovered to fit the distribution of product competition time well. A hybrid framework is established to predict distribution parameters given system state as input, so as to predict the completion time distributions in a real-time fashion. The location parameter is analytically evaluated with system model. Other parameters are predicted or determined with data-driven methods, including a long-short term memory network and classic Tweedie prediction techniques.
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多产品制造系统中产品完成时间分布的预测
产品完成时间是一个随机变量,由生产系统中的随机干扰导致产品加工的意外延迟。现有的产品完工时间预测方法多是预测其平均值。然而,均值只占概率分布的第一时刻,不足以描述产品完成时间的完整分布。本文提出了一种将系统模型与深度学习相结合的预测生产完工时间概率分布的新方法。从工厂车间收集的原始数据通过基于模型的过采样过程进行增强。发现Tweedie分布的位置族能很好地拟合产品竞争时间的分布。建立了以系统状态为输入预测分布参数的混合框架,实时预测完工时间分布。利用系统模型对定位参数进行了解析求解。其他参数的预测或确定与数据驱动的方法,包括长短期记忆网络和经典的Tweedie预测技术。
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