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Template design under demand uncertainty by integer linear local search

机译:需求不确定性下的整数线性局部搜索模板设计

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摘要

Production planning under uncertain demands leads to optimization problems that are hard both to model and to solve. We describe an integer linear model for a template design problem under uncertainty, and investigate its solution by a general-purpose local search algorithm for integer linear programs. Several such algorithms have previously been proposed as tools for solving large combinatorial optimization problems, and ours is based on a recent Boolean Satisfiability algorithm. In experiments it was slower than other methods on small instances, but rapidly outstripped them as the problem size and number of templates increased. It also found near-optimal solutions to all instances much more quickly. A general-purpose local search algorithm provides a rapid and convenient way of finding high-quality solutions to complex production problems.
机译:在需求不确定的情况下进行生产计划会导致优化问题,而这些问题既难以建模也难以解决。我们描述了不确定性下模板设计问题的整数线性模型,并通过通用本地搜索算法研究整数线性程序的求解方案。先前已经提出了几种这样的算法作为解决大型组合优化问题的工具,而我们的算法则基于最近的布尔可满足性算法。在实验中,这种方法在小型实例上比其他方法要慢,但是随着问题的大小和模板数量的增加,其速度很快超过了其他方法。它还找到了更快解决所有实例的最佳方案。通用的本地搜索算法为查找复杂生产问题的高质量解决方案提供了一种快速便捷的方法。

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