• CN:11-2187/TH
  • ISSN:0577-6686

›› 2011, Vol. 47 ›› Issue (17): 104-111.

• 论文 • 上一篇    下一篇

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可重构制造系统多态可靠性建模与分析

段建国;李爱平;谢楠;徐立云   

  1. 同济大学现代制造技术研究所;同济大学中德工程学院
  • 发布日期:2011-09-05

Multi-state Reliability Modeling and Analysis of Reconfigurable Manufacturing Systems

DUAN Jianguo;LI Aiping;XIE Nan;XU Liyun   

  1. Institute of Advanced Manufacturing Technology, Tongji University Sino-German College of Applied Sciences, Tongji University
  • Published:2011-09-05

摘要: 针对利用传统方法建立多状态系统可靠性模型引起的组合爆炸问题,提出一种基于随机过程方法和改进的通用产生函数法(Universal generating function, UGF)的含中间缓冲区的可重构制造系统(Reconfigurable manufacturing system, RMS)多态可靠性建模方法。利用随机过程方法建立存在非相邻状态转移的可重构机床(Reconfigurable machine tool, RMT)的马尔科夫模型,求解机床各理论稳态概率;定义中间缓冲区状态,并通过分析中间缓冲区对机床可用度的影响,得到中间缓冲区可用度和机床各状态的实际稳态概率;结合RMS和RMT性能多态性的特点,对UGF进行改进。在此基础上,表示设备层和系统层的发生函数,建立多零件族可修RMS的多态可靠性模型,并对系统的各项性能指标进行分析。以双零件族四工序非串行缸盖机加工系统为例,验证该模型与分析方法的有效性。

关键词: 多态系统可靠性, 可重构制造系统, 通用产生函数法

Abstract: To solve the problem that there is combination problem when multi-state system reliability model is formulated by traditional methods, the multi-state reliability model of Reconfigurable manufacturing system (RMS) is built based on the stochastic process and the universal generating function (UGF) technique. In order to get all the steady-state probability, the Markov process model of reconfigurable machine tool (RMT) with the characteristic of non-adjacent state transition is established. Through defining the buffer states and analysing the influence of buffer states on the machine availability, both the buffer availability and the actual steady-state probability are obtained. According to the characteristics of RMS and RMT, UGF technique is perfected, and by which generating functions of machine level and system level are expressed followed by the establishment of multi-state reliability model of repairable RMS for multi-parts family. Furthermore, the performance indexes of RMS are also discussed. A parallel-serial hybrid machining system with four stages for double-parts family composed of cylinder heads is taken as an example to verify the effectiveness of the model and the validity of the analysis method.

Key words: Multi-state system reliability, Reconfigurable manufacturing system, Universal generating function

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