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Hybrid modelling with second order fluid stochastic Petri nets

机译:二阶流体随机Petri网的混合建模

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Stochastic Petri nets have been extended for the modelling of hybrid systems by adding fluid places, that are filled and emptied continuously at a random (normally distributed) rate. The flow rates as well as the discrete transition rates may depend on the content a fluid place holds. The dynamics of the model are described by second order partial differential equations, that can be solved by using an implicit Crank-Nicolson scheme. Reward measures such as the fluid throughput can be computed from the continuous part of the solution. As an example we present a model of a chemical reactor.
机译:通过添加流体场所的混合动力车系统建模,随机培养网已经扩展了混合动力车系统,以随机(通常分布)速率连续填充和清空。流速以及离散转换速率可以取决于流体放置的内容。模型的动态由二阶偏微分方程描述,可以通过使用隐式曲柄尼科尔森方案来解决。可以从解决方案的连续部分计算奖励措施,例如流体吞吐量。作为一个例子,我们提出了一种化学反应器的模型。

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