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How to Use Mathematical Decomposition to Solve Capacity Production Planning Models

机译：如何使用数学分解来解决产能生产计划模型

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Previous studies of production planning have indicated that capacity affects production costs, and that the existing schemes of decomposition do not work well in these circumstances. The coupling of mathematical programming and clearing function to obtain good practical solutions for production planning problems at the same time that improve the model quality, introduce constraints of capacity, thus, creating a kind of paradox: improves the production planning model, but becomes ineffective the process of solution for the model. This paper provides a new scheme to decompose the problem of production planning coupled with clearing function, which circumvents the drawback related to the classical approach, which always works well under mild assumptions. Numerical illustration will be provided to indicate where the classical approach fails, and how the new scheme accomplishes properly the task.
机译：以前的生产计划研究表明，产能会影响生产成本，而现有的分解方案在这些情况下效果不佳。数学编程和清算功能的结合，为生产计划问题提供了良好的实用解决方案，同时提高了模型质量，引入了容量约束，从而造成了一种悖论：改进了生产计划模型，但变得无效了。模型的求解过程。本文提供了一种分解生产计划和清算功能的新方案，该方案避免了与经典方法相关的缺点，该方法在温和的假设下始终可以很好地工作。将提供数字说明，以指示经典方法失败的地方，以及新方案如何正确完成任务。

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