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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：通过最佳控制在生产，供应链和工业4.0系统中进行计划：基本原理，最新技术和应用

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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：本文针对确定性最大原理，对最优控制在生产，供应链和工业4.0系统中的调度应用进行了概述。第一个目标是得出未来的研究的主要贡献，应用领域，局限性以及研究和应用建议。第二个目的是从工业工程和生产管理的角度解释控制工程模型。为了实现这些目标，需要考虑最优控制模型，性能分析的定性方法和最优控制的计算方法。我们提供了简要的历史概述，并阐明了主要的数学基础，从而使控制工程术语与工业工程和管理相对应。该调查允许将仅具有终端约束条件的模型与应用程序组合在一起以掌握主生产计划，将具有混合终端逻辑约束的模型应用于短期作业和流水车间调度，以及将混合结构终端逻辑约束与应用程序应用于定制的装配系统例如工业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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