• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (18): 215-224.doi: 10.3901/JME.2019.18.215

• 交叉与前沿 • 上一篇    

考虑性能参数变化的混流制造系统脆弱性评估方法

高贵兵, 岳文辉, 王峰   

  1. 湖南科技大学机电工程学院 湘潭 411201
  • 收稿日期:2018-12-06 修回日期:2019-05-09 发布日期:2020-01-07
  • 作者简介:高贵兵,男,1974年出生,博士,副教授。主要研究方向为制造系统建模、仿真,生产物流仿真、优化。E-mail:gaoguibing@163.com
  • 基金资助:
    国家自然科学基金(51705149)、湖南省自然科学基金(2018JJ2124)和湖南省教育厅科研(18A193)资助项目。

Vulnerability Assessment Method for Mixed-flow Manufacturing System with Time-varying Performance Parameters

GAO Guibing, YUE Wenhui, WANG Feng   

  1. College of Mechanical and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201
  • Received:2018-12-06 Revised:2019-05-09 Published:2020-01-07

摘要: 针对现有混流制造系统脆弱性评估方法的不足,在考虑系统性能参数实时变化的情况下,提出了一种基于LZ变换的脆弱性评估方法。利用离散时间马尔科夫原理求得制造单元各状态的瞬时概率,基于系统的结构特征和LZ变换原理、通用生成函数的串并联构造算子等得到制造单元和系统的LZ变换函数;根据混流制造系统脆弱性定义和系统的LZ变换函数,以其可用度、平均输出期望值和瞬时缺陷率等为脆弱性评价指标,建立混流制造系统的脆弱性评价模型;以一个包含7个制造单元的混流制造系统为例,通过求解系统的LZ变换函数,建立基于可用度、输出性能期望值、瞬时性能缺陷等评估指标的脆弱性评价模型,得到系统的脆弱性实时变化曲线,验证了该方法的可行性,扩展了脆弱性评价的应用范围。

关键词: 混流制造系统, LZ变换, 脆弱性, 评价

Abstract: For the disadvantages of the conventional vulnerability assessment methods for the mixed flow manufacturing system, by considering the real-time changes performance parameters of this type of system, a quantitative evaluation method for the vulnerability of mixed-flow manufacturing system (MMS) by using the LZ-transform is proposed. Firstly, using the discrete-time Markov principle, the instantaneous probability of each state of the manufacturing unit is obtained. According to the structural characteristics of the MMS, the LZ-transform of manufacturing unit and the series-parallel construction operator of the general generation function, the LZ-transform function of the MMS is obtained. Secondly, by following the system's vulnerability definition and LZ-transform function of MMS, the vulnerability assessment method is established by regarding the availability, expectation of average output, and instantaneous performance defect as the evaluation index. Finally, taking a simple MMS as an example, a vulnerability assessment method which is based on the corresponding LZ-transform function is proposed to evaluate the vulnerability. Compared to the traditional state entropy-based method, the results verify the applicability for the actual situation and the application of vulnerability assessment is also expanded.

Key words: mixed-flow manufacturing system, LZ-transform, vulnerability, assessment

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