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Flexible flow shop scheduling for continuous production

机译:灵活的流水车间调度以实现连续生产

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摘要

Flexible flow shop problem is represented as the dynamic interpretation of scheduling based on a natural dynamic decomposition of the problem and its solution with the help of a modified form of continuous maximum principle blended with combinatorial optimisation. A theoretical analysis of optimal scheduling approach with uniform alternative machines is considered. The scheduling approach is based on a dynamic non-stationary interpretation of the job execution and a temporal decomposition of the scheduling problem. The optimality conditions as well as the structural properties of the model and the algorithm are investigated. Advantages and limitations of the proposed approach are discussed. The results of this study can be used as an extension to the existing mathematical programming models subject to the following issues: dynamics and non-stationarity of the operation execution, non-stationarity of the machine structures and capacity parameters, and representation of continuous flows. In addition, the formulation of the scheduling model in terms of control makes it possible to attract additional tools from mathematics of functional spaces such as stability, robustness, controllability, adaptability, etc. to the schedule analysis and real-time adjustment.
机译:柔性流水车间问题表示为调度的动态解释,该调度基于问题的自然动态分解及其解决方案,借助连续最大原理的改进形式与组合优化相结合来解决。考虑采用统一替代机器的最优调度方法的理论分析。调度方法基于作业执行的动态非平稳解释和调度问题的时间分解。研究了模型和算法的最优条件以及结构特性。讨论了该方法的优点和局限性。这项研究的结果可以用作对以下问题的现有数学编程模型的扩展:操作执行的动态性和非平稳性,机器结构和容量参数的非平稳性以及连续流的表示。此外,在控制方面制定调度模型可以从功能空间的数学(如稳定性,鲁棒性,可控制性,适应性等)吸引更多工具,以进行调度分析和实时调整。

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