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The Synchronized and Integrated Two-Level Lot Sizing and Scheduling Problem: Evaluating the Generalized Mathematical Model

机译：同步集成的两级批量计划和调度问题：评估广义数学模型

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摘要

This paper presents the synchronized and integrated two-level lot sizing and scheduling problem (SITLSP). This problem is found in beverage production, foundry, glass industry, and electrofused grains, where the production processes have usually two interdependent levels with sequence-dependent setups in each level. For instance, in the first level of soft drink production, raw materials are stored in tanks flowing to production lines in the second level. The amount and the time the raw materials and products have to be stored and produced should be determined. A synchronization problem occurs because the production in lines and the storage in tanks have to be compatible with each other throughout the time horizon. The SITLSP and its mathematical model are described in detail by this paper. The lack of similar models in the literature has led us to also propose a set of instances for the SITLSP, based on data provided by a soft drink company. Thus, a set of benchmark results for these problem instances are established using an exact method available in an optimization package. Moreover, results for two relaxations proved that the modeling methodology could be useful in real-world applications.
机译：本文提出了同步集成的两级批量计划和调度问题（SITLSP）。在饮料生产，铸造，玻璃工业和电熔谷物中发现了此问题，在这些生产过程中，生产过程通常具有两个相互依赖的级别，每个级别都有与序列相关的设置。例如，在第一级软饮料生产中，原材料被存储在流向第二级生产线的罐中。应确定必须存储和生产原材料和产品的数量和时间。发生同步问题的原因是，在整个时间范围内，生产线的生产和罐中的存储必须相互兼容。本文详细介绍了SITLSP及其数学模型。文献中缺乏相似模型，导致我们也根据软饮料公司提供的数据为SITLSP提出了一系列实例。因此，使用优化包中可用的精确方法为这些问题实例建立了一组基准结果。此外，两次放宽的结果证明，建模方法可以在实际应用中使用。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第12期|182781.1-182781.18|共18页
  • 作者

    Toledo Claudio F. M.; Kimms Alf; Franca Paulo M.; Morabito Reinaldo;

  • 作者单位

    Univ Sao Paulo, Inst Sci Math & Comp, Dept Comp Syst, BR-13566590 Sao Carlos, SP, Brazil.;

    Univ Duisburg Essen, Mercator Sch Management, Dept Technol & Operat Management, D-47057 Duisburg, Germany.;

    Univ Estadual Paulista, Dept Math & Comp Sci, BR-19060900 Presidente Prudente, SP, Brazil.;

    Univ Fed Sao Carlos, Dept Prod Engn, BR-13565905 Sao Carlos, SP, Brazil.;

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