带有同步变迁的有界Petri网系统的建模及可达性分析

doi:10.12341/jssms12818

系统科学与数学 ›› 2016, Vol. 36 ›› Issue (7): 924-936.DOI: 10.12341/jssms12818

带有同步变迁的有界Petri网系统的建模及可达性分析

高娜¹，韩晓光²，陈增强³，张青⁴

1.南开大学计算机与控制工程学院,天津 300350; 天津市智能机器人技术重点实验室,天津 300300;2.南开大学计算机与控制工程学院,天津 300350;3.南开大学计算机与控制工程学院, 天津 300350; 中国民航大学理学院, 天津 300300;4.中国民航大学理学院, 天津 300300

出版日期:2016-07-25 发布日期:2016-07-21

PDF ( 314 ) 引用被引次数 ( 1 | 2 )

高娜，韩晓光，陈增强，张青. 带有同步变迁的有界Petri网系统的建模及可达性分析[J]. 系统科学与数学, 2016, 36(7): 924-936.

GAO Na,HAN Xiaoguang,CHEN Zengqiang,ZHANG Qing. MODELING AND REACHABILITY ANALYSIS OF BOUNDED PETRI NETS WITH SYNCHRONIZING TRANSITION[J]. Journal of Systems Science and Mathematical Sciences, 2016, 36(7): 924-936.

MODELING AND REACHABILITY ANALYSIS OF BOUNDED PETRI NETS WITH SYNCHRONIZING TRANSITION

GAO Na ,HAN Xiaoguang , CHEN Zengqiang , ZHANG Qing

1.College of Computer and Control Engineering, Nankai University, Tianjin 300350;Tianjin Key Laboratory of Intelligent Robotics, Tianjin 300350;2.College of Computer and Control Engineering, Nankai University, Tianjin 300350;3.College of Computer and Control Engineering, Nankai University, Tianjin 300350;
College of Science, Civil Aviation University of China, Tianjin 300300;4.College of Science, Civil Aviation University of China, Tianjin 300300

Online:2016-07-25 Published:2016-07-21

由于存在可达标识集的爆炸性问题, 大型Petri网系统的建模及可达性分析等问题的研究存在难度. 文章利用矩阵的半张量积工具, 研究了带有同步变迁的有界Petri网系统的建模及可达性问题. 一方面, 由于该类Petri 网系统可以看作是由若干个子Petri 网系统组成, 所以可以用半张量积工具表述得到整个Petri网系统的矩阵表示. 另一方面, 在得出的矩阵表示的基础上, 研究了两个标识之间可达性的充要判据, 并给出了求可达变迁序列的算法. 最后, 文章用实例验证了该算法的正确性. 所提出的方法在一定程度上解决了状态空间爆炸问题, 并易于计算机实现.

关键词： 可达性, 有界Petri网, 同步变迁, 矩阵的半张量积, 标识演化方程.

The modeling and reachability problems of big petri nets are difficult to research for the state explosion problem. Using semi-tensor product (STP) of matrices, this paper investigates the problems of modeling and reachability of bounded petri nets with synchronizing transition. Firstly, this kind of petri nets can be seen as a combination of several subnets by synchronizing transitions such that we can obtain the matrix expression of these petri nets. Secondly, this paper presents a necessary and sufficient condition of reachability in terms of matrix. Based on that, an algorithm of firing transition sequence is also provided. Finally, an example is used to verify the correctness of this algorithm. The proposed method solves the problem of the state space explosion to some extent, which is easy to implement in computer.

MR(2010)主题分类:

93C65
37N35

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