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Optimal control of cooling process in continuous casting of steel using a visualization-based multi-criteria approach

机译：基于可视化的多准则方法对钢连铸冷却过程的最佳控制

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This paper is devoted to the application of a new visualization-based multi-criteria approach in an optimal control problem related to the cooling process in the continuous casting of steel. The purpose is to develop such a control that results in steel of the best possible quality, that is, minimizes the defects in the final product. Since the constraints describing technological and metallurgical requirements result in an empty set of the feasible controls of the cooling process, the aim of the study is to find a control that violates the constraints as little as possible. The problem is formulated as a multi-criteria optimization problem and the constraint violations play the role of selection criteria. Our approach is based on the application of both a nonlinear mathematical model of the cooling process that features a system of partial differential equations, and a new decision support technique, called Interactive Decision Maps technique, that uses the on-line visualization of the non-dominated frontier.
机译：本文致力于基于新可视化的多准则方法在与钢连铸冷却过程有关的最优控制问题中的应用。目的是开发一种控制方法，以使钢的质量达到最佳，即最大程度地减少最终产品中的缺陷。由于描述技术和冶金要求的约束条件导致冷却过程的可行控制的空白集，因此研究的目的是找到一种尽可能少违反约束条件的控制方法。该问题被表述为多准则优化问题，约束违规起选择准则的作用。我们的方法既基于冷却过程的非线性数学模型，该模型具有偏微分方程组，又有一种新的决策支持技术，称为交互式决策图技术，该技术使用非可视化的在线可视化技术。占主导地位的边境。

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