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首页> 外文期刊>International Journal of Production Research >Scheduling in production, supply chain and Industry 4.0 systems by optimal control: fundamentals, state-of-the-art and applications
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Scheduling in production, supply chain and Industry 4.0 systems by optimal control: fundamentals, state-of-the-art and applications

机译：通过最优控制调度，供应链和工业4.0系统：基础知识，最先进和应用

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摘要

This paper presents a survey on the applications of optimal control to scheduling in production, supply chain and Industry 4.0 systems with a focus on the deterministic maximum principle. The first objective is to derive major contributions, application areas, limitations, as well as research and application recommendations for the future research. The second objective is to explain control engineering models in terms of industrial engineering and production management. To achieve these objectives, optimal control models, qualitative methods of performance analysis and computational methods for optimal control are considered. We provide a brief historic overview and clarify major mathematical fundamentals whereby the control engineering terms are brought into correspondence with industrial engineering and management. The survey allows the grouping of models with only terminal constraints with application to master production scheduling, models with hybrid terminal-logical constraints with applications to short term job and flow shop scheduling, and hybrid structural-terminal-logical constraints with applications to customised assembly systems such as Industry 4.0. Computational algorithms in state, control and adjoint variable spaces are discussed.
机译：本文提出了对生产，供应链和工业4.0系统中的最优控制对调度的调查，重点是确定性最大原则。第一个目标是为未来的研究推导主要贡献，应用领域，限制以及研究和应用建议。第二个目标是在工业工程和生产管理方面解释控制工程模型。为实现这些目的，考虑了最佳控制模型，性能分析的定性方法和最佳控制的计算方法。我们提供简短的历史概览，并澄清主要的数学基本面，控制工程术语与工业工程和管理进行了通信。该调查允许将模型分组，只有终端约束，应用于掌握生产调度，带有混合终端逻辑约束的模型与应用程序到短期作业和流程店调度，以及将应用程序的混合结构终端逻辑约束与自定义装配系统一起定制如行业4.0。讨论了状态，控制和伴随变量空间中的计算算法。

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