不确定条件下炼钢-连铸生产调度的两阶段鲁棒优化方法
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作者单位:

1. 重庆大学 材料科学与工程学院,重庆 400044;2. 北京科技大学 工程技术研究院,北京 100083

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E-mail: jiang_shl@cqu.edu.cn.

中图分类号:

TP278

基金项目:

国家自然科学基金项目(61873042).


A two-stage robust optimization approach for steelmaking-continuous casting production scheduling under uncertainty
Author:
Affiliation:

1. College of Materials Science and Engineering,Chongqing University,Chongqing 400044,China;2. Institute of Engineering Technology,University of Science and Technology Beijing,Beijing 100083,China

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    摘要:

    根据炼钢-连铸生产过程的特点,建立一种考虑加工时间和运输时间不确定性的两阶段鲁棒优化模型,即在第1阶段确定排序和指派变量,在第2阶段确定时间变量.针对两阶段鲁棒优化问题的复杂性和非线性难点,运用线性对偶理论将其转换为最差场景下的网络优化问题.针对简化后的网络优化问题,提出一种基于协方差自适应进化策略(covariance matrix adaptation evolution strategy,CMA-ES)的求解算法,并引入基于瓶颈浇次的重启策略以提升其搜索效率.最后,基于不同规模的测试实例进行模型灵敏度分析及算法对比测试.计算和统计结果验证了所提出的调度模型在不确定性条件下的有效性及改进CMA-ES算法的竞争性.

    Abstract:

    According to the characteristics of the steelmaking-continuous production, this paper proposes a two-stage robust optimization(TSRO) model considering the uncertainties of processing time and transportation time, where the sequencing and assignment variables are determined in the first stage, and the timing variables are specified in the second stage. Focusing on the complexity and nonlinearity of the TSRO problem, this paper applies the linear duality theory to transform it into a network optimization problem in the worst-case scenario. To solve the simplified network optimization problem, this paper proposes an evolutionary solution algorithm named covariance matrix adaptation evolution strategy (CMA-ES) and introduces a bottleneck cast-based restart strategy to improve the algorithmic efficiency. Finally, this study carries out various experiments based on randomly synthetic instances. The computational and statistical results show the effectiveness of the proposed scheduling model under uncertainty and the competitiveness of the improved CMA-ES algorithm.

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蒋胜龙,文耀民,陈兰,等.不确定条件下炼钢-连铸生产调度的两阶段鲁棒优化方法[J].控制与决策,2023,38(12):3516-3524

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  • 在线发布日期: 2023-11-13
  • 出版日期: 2023-12-20
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