分时期教学优化算法求解双目标分布式异构混合流水车间调度问题

Period-divided teaching-learning-based optimization for solving bi-objective distributed heterogeneous hybrid flow shop scheduling problem

  • 摘要: 针对具有序列相关准备时间约束的双目标分布式异构混合流水车间问题,提出一种多种策略混合的分时期教学优化算法。首先,基于NEH(Nawaz-Enscore-Ham Heuristic)算法,设计三方向初始化策略以提高初始解质量;其次,在进化过程中根据迭代次数划分为两个时期,前期侧重解的多样性,后期加快解的收敛,在前后期的相应阶段采用不同的优化策略,包括破坏与重构、关键交叉搜索、差分突变和邻域搜索策略等;最后,设计了淘汰策略以保证种群整体的收敛性。通过不同规模下与其他算法的对比试验,验证了该算法无论是在收敛性和多样性上均具有较大的优势。

     

    Abstract: A period-divided teaching-learning-based optimization is proposed for the bi-objective distributed heterogeneous hybrid flow shop scheduling problem with sequence-dependent setup times. Firstly, a three-direction initialization strategy based on the NEH heuristic is developed to enhance the quality of the initial population. Next, the optimization process is divided into two periods according to the number of iterations. The early period focuses on maintain population diversity, while the later period aims to accelerate convergence. In each period, different strategies are employed, including ruin-and-recreate, critical crossover search, differential mutation, neighborhood search, and others. Finally, an elimination strategy is implemented to ensure the overall convergence of the population. Comparative experiments on instances of various scales have demonstrated that the proposed algorithm achieves significant advantages in both convergence and diversity when compared with other algorithms.

     

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