非马尔可夫随机Petri网模型的混合状态分析法
A Hybrid State Analysis Method to Non-Markov Stochastic Petri Net Models
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摘要: 讨论具有发射时间任意分布之变迁的随机Petri网的解析问题.定义了随机Petri网 的混合状态和混合状态密度,提出混合状态分析法,并给出具有一步转移关系标识下的混合状 态密度的递推公式.使非马尔可夫型随机Petri网的分析成为可能.通过算例说明了混合状 态分析法在系统性能评估中的应用.Abstract: This paper focuses on analysis of stochastic Petri net (SPN) models with arbitrarily distributed transition firing times. Concepts of hybrid states and hybrid state density functions are introduced, and a hybrid state analysis (HSA) method is developed systematically. A recursive equation of hybrid state density functions is also given. The HSA method makes analysis of non-Markovian SPNs possible. An example shows the application of this method to systems' performance evaluation.
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Key words:
- Stochastic Petri nets /
- hybrid state /
- performance evaluation
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