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Modeling and Analysis of Multiobjective Lot Splitting for N-Product M-Machine Flowshop Lines

机译：N产品M机流水线的多目标批量分割建模与分析

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摘要

Lot splitting is a new approach for improving productivity by dividing production lots into sublots. This approach enables accelerating production flow, reducing lead-time and increasing the utilization of organization resources. Most of the lot splitting models in the literature have addressed a single objective problem, usually the makespan or flowtime objectives. Simultaneous minimization of these two objectives has rarely been addressed in the literature despite of its high relevancy to most industrial environments. This work aims at solving a multiobjective lot splitting problem for multiple products in a flowshop environment. Tight mixed-integer linear programming (MILP) formulations for minimizing the makespan and flowtime are presented. Then, the MinMax solution, which takes both objectives into consideration, is defined and suggested as an alternative objective. By solving the MILP model, it was found that minimizing one objective results in an average loss of about 15% in the other objective. The MinMax solution, on the other hand, results in an average loss of 4.6% from the furthest objective and 2.5% from the closest objective.
机译：批量拆分是通过将生产批量划分为子批来提高生产率的新方法。这种方法可以加快生产流程，减少交货时间并提高组织资源的利用率。文献中的大多数批量拆分模型都解决了一个单一的目标问题，通常是制造期或生产时间目标。尽管这两个目标的同时最小化与大多数工业环境高度相关，但在文献中却很少涉及。这项工作旨在解决Flowshop环境中多个产品的多目标批量拆分问题。提出了紧密混合整数线性规划（MILP）公式，以最小化制造时间和缩短流动时间。然后，将同时考虑了两个目标的MinMax解决方案定义并建议作为替代目标。通过求解MILP模型，发现最小化一个目标会导致另一目标的平均损失约15％。另一方面，MinMax解决方案导致最远目标的平均损失为4.6％，最接近目标的平均损失为2.5％。

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