Aggregation methods in exact performance analysis of stochastic Petri nets

W. Henderson, P. Taylor
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引用次数: 29

Abstract

Recently the authors have shown that there is a class of stochastic Petri nets (SPNs), distinct from queueing networks, that also have a product-form equilibrium distribution.In this study the previous work is extended by study in SPNs that have arbitrarily distributed enabling and firing times, probabilistic input and output bags, and colored tokens. An embedding procedure that reduces a complex SPN to a skeleton SPN is proposed. It is shown that choosing the appropriate embedding, it is possible to obtain exact results from the skeleton SPN that are marginal results for the complex SPN.<>
随机Petri网精确性能分析中的聚合方法
最近,作者已经证明了有一类随机Petri网(spn),与排队网络不同,它也具有产品形式的均衡分布。在本研究中,通过研究具有任意分布的启用和触发时间、概率输入和输出袋以及彩色令牌的spn,扩展了先前的工作。提出了一种将复杂SPN简化为骨架SPN的嵌入方法。结果表明,选择合适的嵌入方式,可以得到骨架SPN的精确结果,而对于复杂SPN来说,骨架SPN是边缘结果。
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