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Adaptive surrogate-based algorithm for integrated scheduling and dynamic optimization of sequential batch processes

机译:基于自适应代理的顺序批生产过程综合调度和动态优化算法

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We propose a novel solution algorithm for the integrated scheduling and dynamic optimization for sequential batch processes in this work. The integrated problem is formulated as a mixed-integer nonlinear programming (MINLP) problem, which could be large scale and challenging to solve. To address this computational challenge, we propose an efficient and adaptive surrogate-based algorithm for solving the integrated MINLP problem. Based on the bilevel structure of the integrated problem, we first decompose the dynamic optimization problems from the scheduling problem and replace them with a set of surrogate models. We then update the surrogate models adaptively, either by adding a new sampling point to the current surrogate model, or by doubling the upper bound of the current surrogate model's total processing time. Our proposed method is demonstrated through a case study involving a multi-product sequential batch process. The results show that the proposed algorithm leads to a 31% higher profit than the conventional method. The full space simultaneous method increases the computational time by more than four orders of magnitude compared with the proposed method but returns an 8.7% lower profit than the proposed method.
机译:在这项工作中,我们提出了一种新的解决方案算法,用于顺序批处理过程的集成调度和动态优化。集成问题被表述为混合整数非线性规划(MINLP)问题,可能规模庞大且难以解决。为了解决这一计算难题,我们提出了一种有效且自适应的基于代理的算法来解决集成式MINLP问题。基于集成问题的双层结构,我们首先将动态优化问题从调度问题中分解出来,并用一组替代模型代替它们。然后,我们可以通过向当前代理模型添加新的采样点,或者通过将当前代理模型的总处理时间的上限加倍来自适应地更新代理模型。通过涉及多产品顺序批生产过程的案例研究证明了我们提出的方法。结果表明,与传统方法相比,该算法的收益提高了31%。与建议的方法相比,全空间同时方法将计算时间增加了四个数量级以上,但所获得的利润却比建议的方法低8.7%。

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