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中文摘要：
针对柔性作业车间（Flexiblejob—shop，FJS）生产计划（Production planning，PP）与调度紧密衔接的特点，建立r生产计划与调度集成优化模型．模型综合考虑了安全库存、需求损失及工件加工路线柔性等方面因素．提出了一种基于拉格朗日松弛（Lagrangian relaxation，LR）的分解算法，将原问题分解为计划子问题与调度子问题．针对松弛的生产计划子问题，提出一种新的费用结构，以保证生产计划决策与实际情况相符，并设计了一种变量固定松弛策略与滚动时域组合算法进行求解．对于调度子问题中的加工路线柔性问题，提出了一种新的机器选择策略．通过数值实验验证了模型与算法的有效性．
英文摘要：
To cope with the interaction between production planning and scheduling in a flexible job shop （FJS）, an integrated optimization model for production planning and scheduling is presented. Safety stock, demand loss and flexible process routing of jobs are involved in the model. A decomposition algorithm based on Lagrangian relaxation （LR） is used to solve this model, and the integrated problem is decomposed into a production planning sub-problem and a flexible scheduling sub-problem. For the relaxed production planning sub-problem, a new cost structure is provided in order to make the decision-making coincide with the practical problem, and an algorithm which combines varying fix-and-relax with rolling-horizon is developed to solve the planning sub-problem. For the flexible process routing of the scheduling sub-problem, a new strategy of machine assignment is addressed. Numerical experiments validate the effectiveness of the proposed model and algorithm.
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