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A study on crate sizing problems

机译:板条箱尺寸问题研究

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摘要

This paper studies the crate sizing problem to predetermine optimal standard packaging crate sizes for a demand of assorted sizes of products to minimise space and costs. The crate sizing problem is a real world logistics scenario faced by an existing multinational corporation in the applied chemistry industry. Customer demands come in a mix of rolls to be packaged in individual crates and then shipped in shipping containers from plants to customers. Firstly, a linear crate length optimisation model is introduced with the objective to minimise the total loss of extra space inside the crates for a given distribution of customer demands. In order to take inventory costs of crates into consideration, a second problem is introduced to both find the optimal number of crate types and the corresponding lengths such that the total costs of packaging and inventory are minimised. The latter problem is first formulated as a non-linear optimisation model and then solved using dynamic programming approach to balance the trade-off between the number of crate types and the penalty cost for space wastage inside the crates.
机译:本文研究了板条箱尺寸问题,以便为各种尺寸的产品需求确定最佳的标准包装板条箱尺寸,以最大程度地减少空间和成本。板条箱的尺寸问题是应用化学工业中现有跨国公司所面临的现实物流问题。客户的需求来自混合在一起的各种卷装,这些卷装在单独的板条箱中,然后用装运箱从工厂运到客户。首先,引入线性板条箱长度优化模型,其目的是在给定的客户需求分布下,将板条箱内额外空间的总损失降至最低。为了考虑板条箱的库存成本,引入了第二个问题,以找到板条箱类型的最佳数量和相应的长度,从而使包装和库存的总成本最小化。后一个问题首先被公式化为非线性优化模型,然后使用动态规划方法解决,以在板条类型数量与板条内部空间浪费的惩罚成本之间取得平衡。

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