计算机集成制造系统 ›› 2023, Vol. 29 ›› Issue (1): 111-120.DOI: 10.13196/j.cims.2023.01.010

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自适应多种群Jaya算法求解绿色并行机调度问题

王建华,杨琦,朱凯   

  1. 江苏大学管理学院
  • 出版日期:2023-01-31 发布日期:2023-02-15
  • 基金资助:
    国家自然科学基金资助项目(71673118)。

Self-adaptive multi-population Jaya algorithm for green parallel machine scheduling problem

WANG Jianhua,YANG Qi,ZHU Kai   

  1. College of Management,Jiangsu University
  • Online:2023-01-31 Published:2023-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.71673118).

摘要: 考虑到同一机器加工不同工件时存在序列相关准备时间的情况,研究了具有设置时间的绿色并行机调度问题。针对问题采用二维实数编码方案来有效映射解空间,并设计一种可以求解多目标的自适应多种群Jaya算法。该算法以Pareto最优解及拥挤度计算的机制进行寻优,在Jaya算法的基础上,设计了位置向量排序机制实现连续型解与绿色并行机调度问题离散型解的有效结合;将随机规则与工作均衡规则相结合提升初始种群质量并设计了自适应变化的多种群提升算法的搜索多样性与收敛速度。通过与其他4种算法的算例测试分析,结果表明自适应多种群Jaya算法在求解具有设置时间的绿色并行机调度问题上具有优越性。

关键词: 设置时间, 绿色并行机调度, 自适应多种群Jaya算法, 多目标优化, Pareto寻优

Abstract: Considering that there was sequence dependent preparation time when the same machine processed different jobs,the Green Parallel Machine Scheduling Problem with Set Time (GPMSP-ST) was studied.Aiming at the problem,a two-dimensional real coding scheme was used to map the solution space effectively and an Self-adaptive Multi-population Jaya algorithm (SAMP-Jaya) was designed to solve the multi-objective problem.The algorithm was optimized by Pareto optimization and congestion calculation mechanism.On the basis of Jaya algorithm,the position vector sorting mechanism was designed to realize the effective combination of continuous solution and GPMSP-ST discrete solution.The random rule and equilibrium rule were combined to improve the initial population quality and the search diversity and convergence rate of the adaptive multi-population enhancement algorithm were designed.The results showed that SAMP-Jaya was superior in solving GPMSP-ST problem through the test and analysis of several examples and other four algorithms.

Key words: set time, green parallel machine scheduling, self-adaptive multi-population Jaya algorithm, multi-objective optimization, Pareto optimization

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