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Structural-Parametric Optimization of a Complex of Intersecting Sets of Operations under Nonstationary Demand
Automation and Remote Control ( IF 0.7 ) Pub Date : 2020-05-10 , DOI: 10.1134/s0005117920050021
A. B. Dolgui , G. M. Levin , B. M. Rozin

We consider the problem of optimizing the production planning with aggregation of operations and selection of their intensities for batch processing of a given family of products on a multi-position reconfigurable production system at specified (time) intervals under nonstationary deterministic demand. Backlog is allowed. Aggregation of operations is invariable for the entire planning period, the composition of the batch and intensities of processing operations are invariable within an interval, but can vary from interval to interval. As the objective function we use the planned profit. Investment costs are determined by the aggregation option. Time and material costs for the manufacturing of a batch of products during each interval depend on the aggregation of operations, intensities of their implementation, and costs of reconfiguring the equipment. Logistic costs include the cost of storing unclaimed products, lost added value, and penalties for unmet demand. We propose a three-level decomposition method for solving the problem.



中文翻译:

非平稳需求下相交运算复杂集合的结构参数优化

我们考虑在非平稳确定性需求下按指定(时间)间隔在多位置可重配置生产系统上通过给定产品系列的批处理操作聚合和选择强度来优化生产计划的问题。允许积压。在整个计划周期内,操作的集合是不变的,批次的组成和处理操作的强度在一个间隔内是不变的,但是在每个间隔之间都可以变化。作为目标函数,我们使用计划利润。投资成本由汇总选项确定。在每个时间间隔内生产一批产品的时间和材料成本取决于操作的汇总,实施​​的强度,以及重新配置设备的成本。物流成本包括无人认领产品的存储成本,附加值损失和未满足需求的罚款。我们提出了一种三级分解方法来解决该问题。

更新日期:2020-05-10
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