Abstract: The state entropy-based method for the assessment of vulnerability in mixed-model manufacturing systems suffered the combinatorial state-space explosion problems, aiming at the shortcomings of this method, a new quantitative assessment method was proposed based on UGF for the vulnerability of mixed-model manufacturing system. Firstly, the UGFs for each manufacturing unit were established by analyzing the states and solving the probabilities,the vulnerability entropies of each unit were defined and calculated, and the vulnerability assessment models of manufacturing units were established. Secondly, based on characteristics of mixed-model manufacturing the system‘s structures and the series-parallel operators of the UGF, a UGF model of mixed-model manufacturing system was solved, and by definition of vulnerability entropy of the mixed-model manufacturing system, the vulnerability assessment model was established based on the critical vulnerability entropy. Finally, taking a typical mixed-model manufacturing system as an example, the proposed method was used to evaluate the vulnerability. Compared with the state entropy-based method, the efficiency of vulnerability assessment may be obviously improved by the proposed method.

Key words: mixed-model manufacturing system, universal generation function（UGF）, vulnerability, assessment

摘要： 为了解决基于状态熵的脆弱性评价方法在面对多状态系统组合爆炸问题时的困难,提出了一种基于通用生成函数的混流制造系统脆弱性量化评价方法。首先,分析求解各制造单元的状态及其概率,得到制造单元的通用生成函数,定义并计算各单元的脆性熵,建立制造单元的脆弱性分析模型；其次,根据混流制造系统结构特征和通用生成函数的串并联构造算子,得到系统通用生成函数,定义其脆性熵,基于脆性熵建立混流制造系统的脆弱性评价模型；最后,以某典型的混流制造系统为例,利用所提出的脆弱性评价方法,评估其脆弱性,并与基于状态熵的评价方法进行对比,结果表明该方法可显著提高脆弱性评价的效率。

关键词: 混流制造系统, 通用生成函数, 脆弱性, 评价