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工程设计学报
Chinese Journal of Engineering Design  2015, Vol. 22 Issue (1): 18-25    DOI: 10.3785/j.issn. 1006-754X.2015.01.003
    
Reliability and availability analysis of pumping system using modeling based on decomposition approach
LI Jun， WANG Xian-lin
School of Mechanical Automation， Wuhan University of Science and Technology， Wuhan 430081, China
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Abstract  To solve the state space explosion problem of Markov model, individual component (level 3) SPN model was developed based on the state space decomposition approach. Then, according to the basic structure of the subsystem, individual subsystem (level 2) SPN model was developed. The subsystem SPN models were integrated into system model (level 1). Reachable graph and reduced equivalent Semi-Markov rate diagram were generated to obtain solutions of the equations for the system model. Assessment of reliability and availability for the system was done. Pumping system as an example was used to validate the decomposition method could help to overcome the state space explosion problem, to reduce the difficulty and calculation for modeling and to operate easier.

Key words： decomposition approach      pumping system      stochastic Petri net      semi-Markov model      state space explosion     
Received: 01 September 2014      Published: 28 February 2015
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Cite this article:

LI Jun， WANG Xian-lin. Reliability and availability analysis of pumping system using modeling based on decomposition approach. Chinese Journal of Engineering Design, 2015, 22(1): 18-25.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn. 1006-754X.2015.01.003     OR     https://www.zjujournals.com/gcsjxb/Y2015/V22/I1/18


基于分解法建模的泵送系统可靠性和可用性评估

为解决马尔科夫模型的状态空间爆炸问题，在状态空间分解法的基础上，建立单个部件（层次3）的SPN模型，然后根据子系统的组成结构建立单个子系统（层次2）的SPN模型．将子系统SPN模型集成为系统模型（层次1），得到系统模型的可达图及缩小的等效半马尔科夫图，按图建立系统模型的状态方程并求解，然后对系统进行可靠性和可用性评估．以泵送系统为例，验证分解法有助于解决状态空间爆炸问题，并使建模的难度和计算量减小，更易于操作

关键词： 分解法,  泵送系统,  随机Petri网,  半马尔科夫模型,  状态空间爆炸 
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