针对复杂空竭排队系统难以得到性能指标解析解的问题,提出基于Petri网模拟的近似解方法.通过CPN Tools建立4种休假策略下排队系统的Petri网模型,在定义排队系统的性能指标数学期望公式的基础上,使用Data Collector采集模型模拟的动态数据,得到相关的性能指标结果和期望收益.仿真结果表明这种基于Petri网模型的近似求解方法是有效的,建立的模型和基于模型的性能分析方法具有可扩展性、复用性和界面友好性.%Since it is difficult to obtain analytical solutions of performance indices for complex queueing systems, a method for finding approximate solutions is presented based on Petri net. With the CPN tools, a Petri net model is constructed for queueing system under four vacation policies. Based on the mathematical formula for performance indices, performance indices and expected profits are calculated from the dynamic data collected by Data Collector in the simulation. The results show that the method based on model simulation is effective, the models and the performance analysis method based on the models have flexible scalability, reusability and a friendly interface.
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