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Decomposition approach for a problem of lot-sizing and sequencing under uncertainties

机译:不确定条件下批量估计和排序问题的分解方法

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摘要

The paper addresses a problem of optimal lot-sizing and sequencing of manufacturing items for production lines. The following factors are taken into account: processing times, set-up times, random machine breakdowns and rejects. The goal is to maximize the probability of a desired output for a given period. A mathematical model of the problem and an optimization approach are discussed. This approach is based on the decomposition of the initial problem in three sub-problems: an enumeration, a travelling salesman problem and a knapsack problem. An iterative optimization procedure is proposed, based on this decomposition.
机译:本文解决了生产线生产项目的最佳批量确定和排序问题。考虑以下因素:处理时间,设置时间,随机机器故障和废品。目标是在给定时间段内最大化期望输出的可能性。讨论了问题的数学模型和优化方法。该方法基于初始问题在三个子问题中的分解:枚举,旅行商问题和背包问题。基于该分解,提出了迭代优化程序。

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