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DOI:
Journal of Software:2003.14(6):1029-1036

一种紧同步随机Petri网模型的性能分析方法
刘鸿,林闯,吴建平
(清华大学,计算机科学与技术系,北京,100084)
Performance Analysis of Strictly Synchronized Stochastic Petri Nets
LIU Hong,LIN Chuang,WU Jian-Ping
()
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Received:September 06, 2002    Revised:September 06, 2002
> 中文摘要: 紧同步随机Petri网模型常用于对多个子系统构成的实际系统进行建模.由于状态空间爆炸问题,这种模型的性能分析目前还没有得到很好的解决.首先给出了随机Petri网中顺序、并行、循环、选择这4种基本结构的性能近似等价公式,然后提出了一种同步变迁等价分解(synchronous transition equivalent decomposition,简称STED)法对紧同步随机Petri网进行分解求解,有效地缓解了具有一个或多个同步变迁情况下的空间爆炸问题,该方法对于子模型同构的情况处理简便且十分有效.
Abstract:Strictly synchronized SPNs (stochastic Petri nets) are very popular in stochastic Petri nets made up of sub-models. Because of the problem of state space’s explosion, performance analysis of strictly synchronized SPNs has not been solved completely. Formulas that show performance equivalence of four elementary subnets, which are sequence subnet, parallel subnet, choice subnet and iteration subnet, are presented. A decomposition approach called STED (synchronous transition equivalent decomposition) is proposed in this paper and can be applied to SPNs with one or more synchronous transitions, especially such models with isomorphic sub-models.
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基金项目:Supported by the National Grand Fundamental Research 973 Program of China under Grant No.G1999032707 (国家重点基础研究发展规划(973)); the National Natural Science Foundation of China under Grant No.90104002 (国家自然科学基金); the National High-Tech Research and Development Plan of China under Grant Nos.2001AA112080, 2001AA112061(国家高技术研究发展计划) Supported by the National Grand Fundamental Research 973 Program of China under Grant No.G1999032707 (国家重点基础研究发展规划(973)); the National Natural Science Foundation of China under Grant No.90104002 (国家自然科学基金); the National High-Tech Research and Development Plan of China under Grant Nos.2001AA112080, 2001AA112061(国家高技术研究发展计划)
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刘鸿,林闯,吴建平.一种紧同步随机Petri网模型的性能分析方法.软件学报,2003,14(6):1029-1036

LIU Hong,LIN Chuang,WU Jian-Ping.Performance Analysis of Strictly Synchronized Stochastic Petri Nets.Journal of Software,2003,14(6):1029-1036