Time domain analysis of non-Markovian stochastic Petri nets with PRI transitions

Horvath A.; Telek M.

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Time domain analysis of non-Markovian stochastic Petri nets with PRI transitions

机译：具有PRI跃迁的非马尔可夫随机Petri网的时域分析

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The time domain analysis of non-Markovian stochastic Petri nets with pre-emptive repeat identical (PRI) type transitions is considered in this paper. The set of "time domain" equations describing the evolution of the marking process is provided. The relation of the time domain and formerly available transform domain description is discussed. Based on the time domain description of the process, a simple numerical procedure is provided to analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method.

机译：本文考虑了具有先发性重复相同（PRI）类型转换的非马尔可夫随机Petri网的时域分析。提供了描述标记过程演变的“时域”方程组。讨论了时域与以前可用的变换域描述之间的关系。基于过程的时域描述，提供了一个简单的数值过程来分析瞬态行为。计算两个例子来说明所提出的数值方法。

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《IEEE Transactions on Software Engineering》 |2002年第10期|p.933-943|共11页
作者
Horvath A.; Telek M.;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类计算机软件;
关键词
Petri nets; approximation theory; differential equations; queueing theory; stochastic processes; time-domain analysis; first order approximation; marking process; nonMarkovian stochastic Petri nets; preemptive repeat identical transitions; queuing model; time domai;

机译：Petri网;逼近理论;微分方程;排队论;随机过程;时域分析;一阶逼近;标记过程;非Markovian随机Petri网;先发性重复相同跃迁;排队模型;时域;

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专利

1. Time domain analysis of non-Markovian stochastic Petri nets with PRI transitions [J] . Horvath A., Telek M. IEEE Transactions on Software Engineering . 2002,第10期

机译：具有PRI跃迁的非马尔可夫随机Petri网的时域分析
2. Faulty patterns diagnosis for k-bounded non-Markovian timed stochastic Petri nets [J] . Lefebvre Dimitri IFAC PapersOnLine . 2018,第11期

机译：k有界非马尔可夫定时随机Petri网的故障模式诊断
3. ON SIMULATION OF NON-MARKOVIAN STOCHASTIC PETRI NETS WITH HEAVY-TAILED FIRING TIMES [J] . Peter W. Glynn, Peter J. Haas Proceedings of the Workshop on Principles of Advanced and Distributed Simulation . 2012,第CDaROM期

机译：重尾次数的非马尔可夫随机Petri网的模拟
4. Faulty patterns diagnosis for k-bounded non-Markovian timed stochastic Petri nets [C] . Lefebvre Dimitri IFAC Symposium on Information Control Problems in Manufacturing . 2018

机译：k型非马车定期随机培养网的诊断故障模式诊断
5. Marking optimization of stochastic time Petri net using stochastic programming. [D] . Ahn, Changbo. 2003

机译：使用随机规划对随机时间Petri网进行标记优化。
6. Time-dependent structural transformation analysis to high-level Petri net model with active state transition diagram [O] . Chen Li, Masao Nagasaki, Ayumu Saito, 2010

机译：具有活动状态转移图的高阶Petri网模型的时变结构转换分析
7. Time domain analysis of non-Markovian Stochastic Petri Nets with PRI transitions [O] . András Horváth, Miklós Telek 2007

机译：具有pRI转移的非马尔可夫随机petri网的时域分析

Time domain analysis of non-Markovian stochastic Petri nets with PRI transitions

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