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A Study on Three Rookie Workers' Assignment Optimization under the Limited-Cycled Model with Multiple Periods ——Law of Rookie First——

机译:多周期受限周期模型下的三名新手工人分配优化研究-“新手优先法”

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This paper models and analyzes serial production lines to discuss about the optimal assignment of workers whose ability varies from each other. A limited-cycled model with multiple periods (LCMwMP) is built for evaluating the expected processing cost depending on the risk of delay. In order to minimize the risk of delay, the assignment of the workers, especially rookie worker is focused on because they are the weak point who has the most probability leading to the delay. In previous researches, the workers are separated into two groups by the capacity of processing. And in the case when rookie workers group has only one or two workers, the rules of optimal worker assignment is already proposed by assuming an assembly line as LCMwMP model. In this paper, we continue to deal with LCMwMP model assuming an optimization problem with three rookie workers, for finding an assignment of workers to the line that has a minimum expected processing cost. Then, by the mathematics demonstration, we will prove the validity of these rules found by the numeral experiment. And by some numeral experiments, we will conclude several more rules of optimal assignment. At last, by comparing the rules assumed in this paper with previous research, it can be inspired if we can find out a common rule regardless of the number of rookie workers as a goal of future research.
机译:本文对串行生产线进行建模和分析,以讨论能力互不相同的工人的最佳分配。建立了一个具有多个周期的有限周期模型(LCMwMP),用于根据延迟风险评估预期的处理成本。为了最大程度地减少延迟的风险,工作人员,尤其是新手工人的分配工作重点在于他们,因为他们是最有可能导致延迟的弱点。在以前的研究中,工人按加工能力分为两组。在菜鸟工人组只有一个或两个工人的情况下,已经通过将装配线作为LCMwMP模型来提出最优工人分配规则。在本文中,我们假设存在三个新秀工人的优化问题,继续处理LCMwMP模型,以找到在预期处理成本最小的生产线上分配工人的方法。然后,通过数学演示,我们将证明通过数字实验发现的这些规则的有效性。通过一些数字实验,我们将得出更多的最优分配规则。最后,通过将本文假设的规则与以前的研究进行比较,可以启发我们是否可以找到一个通用规则,而不考虑菜鸟工人的数量,作为未来研究的目标。

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