SUMMARY In this paper, an integrated mathematical model for the balancing and sequencing problems of a mixed-model assembly line (MMAL) is developed. The proposed model minimizes the total overload and idleness times. For the sake of reality, the impact of operator’s learning and fatigue issues on the optimization of the assembly line balancing and sequencing problems is considered. Furthermore, it is assumed that the Japanese mechanism is used in this assembly line to deal with the overload issue. With respect to the complexity level of the proposed model, a genetic algorithm is developed to solve the model. In order to set the parameters of the developed genetic algorithm, the well-known Taguchi method is used and the efficiency of this solution method is compared with the GAMS software using several test problems with different sizes. Finally, the sensitivity of the balancing and sequencing problems to the parameters such as station length, learning rate, and fatigue rate are analyzed and the impact of changing these parameters on the model is studied.

中文翻译：

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关于学习和疲劳效应的集成装配线的数学模型

总结 在本文中，开发了一种用于混合模型装配线 (MMAL) 的平衡和排序问题的集成数学模型。所提出的模型最大限度地减少了总过载和空闲时间。考虑实际情况，考虑操作员的学习和疲劳问题对优化装配线平衡和排序问题的影响。此外，假设在该装配线中使用日本机制来处理过载问题。针对所提出模型的复杂程度，开发了一种遗传算法来求解该模型。为了设置所开发遗传算法的参数，使用众所周知的田口方法，并将该解决方法的效率与GAMS软件使用几个不同大小的测试问题进行比较。最后，