计算机集成制造系统 ›› 2020, Vol. 26 ›› Issue (9): 2511-2521.DOI: 10.13196/j.cims.2020.09.020

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可重入作业车间排队网建模与缓冲区配置优化

张惠煜1,陈庆新1,毛宁1,俞爱林1+,李翔1,2,梁祖红1   

  1. 1.广东工业大学广东省计算机集成制造重点实验室
    2.湘南学院电子信息与电气工程学院
  • 出版日期:2020-09-30 发布日期:2020-09-30
  • 基金资助:
    国家自然科学基金资助项目(51775120,51805096,61573109,61973089,71802055);中国博士后科学基金资助项目(2018M630929,2018M643030);广东省自然科学基金资助项目(2018A030313477)。

Queuing network modelling and optimal buffer allocation for reentrant job-shops

  • Online:2020-09-30 Published:2020-09-30
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.51775120,51805096,61573109,61973089,71802055),the Postdoctoral Science Foundation,China(No.2018M630929,2018M643030),and the Guangdong Provincial Natural Science Foundation,China(No.2018A030313477)。

摘要: 针对定制型制造企业可重入作业车间,研究了排队网建模和缓冲区容量配置优化方法。首先,建立了具有任意拓扑结构的有限缓冲区开排队网模型,以分析作业车间生产活动的随机过程,将节点的输入/输出过程拟合为一般分布,并提出近似求解的速率迭代法,用以快速计算系统平均产出率和生产周期。其次,通过算例实验与仿真结果进行对比,验证了假设模型的有效性和求解方法的精确性,并分析了缓冲区容量对系统性能的影响。缓冲区容量配置优化问题是一个非线性整数规划问题,也是一个NP难组合优化问题,因此提出一种由速率迭代法与Polyblock算法嵌套迭代的优化方法,并通过案例结果进行了验证。

关键词: 可重入作业车间, 排队网建模, 缓冲区配置, 工序返修, 定制型制造企业

Abstract: In the reentrant job-shop of customized manufacturing industry,queuing network modelling and buffer allocation problem were studied.The system was modelled as an open queuing network with arbitrary topology to describe the random process of production activities.The input and output processes were assumed to be general distributions.An approximation method called rate iterative method was proposed to compute the system mean throughput and cycle time.The efficiency of the hypothetical model and the accuracy of the solution method were tested by comparing with simulations from some experiments.The optimal buffer allocation problem was a nonlinear integer programming problem and an NP-hard combinatorial optimization problem,Anested iteration optimization algorithm by rate iterative method and polyblock method was developed to solve it,and the cases were used to verified.

Key words: reentraint job-shops, queuing network modelling, buffer allocation, rework process, customized manufacturing industry

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