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Alternative methods for incorporating non-exponential distributions into stochastic timed Petri nets

机译:将非指数分布纳入随机定时Petri网的替代方法

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A natural and compact way to incorporate nonexponential distributions into stochastic Petri nets is described. It allows users to directly specify the nonexponential transitions at the next level without providing the detailed construction; for example, to specify an Erlang distribution, the user only needs to provide the number of stages and the mean of the distribution. The refinement of the transition with a general distribution is performed automatically with a net-independent mechanism. The resulting net is a GSPN that can be solved with standard techniques. The authors also show how to expand conflicting transitions under the race-enabling policy (without the interconnection of places and transitions internal to the expansion of the different transitions), and have identified the different semantics introduced by nonexponential distributions, when a model does or does not use a control place.
机译:描述了一种将非指数分布合并到随机Petri网中的自然而紧凑的方法。它允许用户直接在下一级指定非指数转换,而无需提供详细的构造。例如,要指定Erlang分布,用户只需提供阶段数和分布平均值。具有一般分布的过渡的精炼是通过与网络无关的机制自动执行的。生成的网是可以使用标准技术解决的GSPN。作者还展示了如何在种族支持策略下扩展冲突的过渡(在不同过渡的扩展内部不进行场所和过渡的互连),并确定了当模型执行或执行时,非指数分布引入的不同语义。不要使用控制场所。

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