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Inter-cell movement minimisation in a cellular manufacturing system having stochastic parameters

机译:具有随机参数的蜂窝制造系统中的小区间移动最小化

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摘要

In this paper, a mathematical model is developed to formulate a cellular manufacturing system with uncertain parameters. In this model, the processing time is a random variable following normal probability distribution, demand is a random variable following normal probability distribution and the inter-arrival time for part is a random variable following exponential probability distribution. The objective of the proposed mathematical model is to configure machines' layout in cells so that the inter-cell movements are minimised and the bottlenecks are breakthrough. The applicability of the proposed mathematical programme is illustrated using numerical examples. Two numerical examples are shown in small and large sizes to emphasise the capability of the mathematical model for handling different problem sizes.
机译:在本文中,开发了一个数学模型来制定具有不确定参数的蜂窝制造系统。在该模型中,处理时间是服从正态概率分布的随机变量,需求是服从正态概率分布的随机变量,零件的到达时间是服从指数概率分布的随机变量。提出的数学模型的目的是配置机器在单元中的布局,以使单元间的移动最小化,并突破瓶颈。通过数值示例说明了所提出的数学程序的适用性。展示了两个数值示例,分别以大小显示,以强调数学模型处理不同问题大小的能力。

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