为进一步解决复杂系统脆性理论既有研究工具存在的系统状态定量描述困难、系统边界条件约束较多等问题,将有色Petri网及其仿真工具CPN Tools引入到复杂系统脆性度量研究中。有色Petri网及CPN Tools内置的查询工具、既有的高级状态空间计算方法都降低了复杂系统脆性度量中的问题复杂度。提出基于状态空间分析的复杂系统脆性度量指标并给出编程实现流程。仿真算例表明状态空间内状态节点的脆性传递过程及其影响范围能够间接反映系统脆性行为。
To further resolve the problems that were brought by the existing research tools of complex system brittleness theory, such as system state describe difficulties or too critical constraint conditions about system boundary, this paper introduced colored Petri nets into the research on complex system brittleness measurement. The colored Petri nets,its simulation tool CPN Tools and the existing advanced state space tools were helpful to reduce the system complexity in modeling and quantification. This paper brought forward complex system brittleness measurement index, and gave the programming workflow. Lastly a nume- rical example illustrates that the node brittleness propagation process and its influence range in state space can reflect the system brittleness.