• 论文 •    

两机零等待流水车间调度问题的启发式算法

常俊林,邵惠鹤   

  1. 上海交通大学 自动化系,上海  200030
  • 出版日期:2005-08-15 发布日期:2005-08-25

Heuristic algorithm for two-machine no-wait flowshop scheduling problem

CHANG Jun-lin, SHAO Hui-he   

  1. Dep. of Automation, Shanghai Jiaotong Univ., Shanghai  200030, China
  • Online:2005-08-15 Published:2005-08-25

摘要: 为实现两机零等待流水车间调度问题的总流程时间最小化,结合问题的结构信息提出了一种快速求解近优解的启发式算法。在该类问题中,工件在每台机器上的操作包括调整、加工和移除3部分,且调整和移除时间都与工件的加工时间相互分离。首先分析了该类问题的优化性质,结合优化性质进而构造出求解算法。在中小规模和大规模问题上,将启发式算法的结果分别与最优解和最优解的下界值进行了比较。大量数值计算实验表明了该算法的有效性和解决大规模实际问题的潜力。

关键词: 流水车间, 调度, 零等待, 启发式算法

Abstract: To minimize the total flow time of a class of two-machine no-wait flowshop scheduling problem, a heuristic algorithm was proposed based on the structural information of the problem to obtain near-optimal solution. According this flowshop scheduling problem, an operation of a job on any machine consisted of three phases: setup, processing and removal. The setup and removal time were separated from the processing time. Optimization properties were first analyzed. Based on the analysis of optimization properties, the algorithm was constructed, which could provide near optimal solutions in a modest amount of computer time. The heuristic costs were compared with the optimal costs and lower bounds on the optimal costs for small-scale instances and large-scale instances separately. Extensive numerical test indicated the effectiveness of the proposed heuristic algorithm and demonstrated the potential capacity of the algorithm to solve large-scale problems.

Key words: flowshop, scheduling, no-wait, heuristic algorithm

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