Markov Chains and Stochastic Petri Nets for Availability and Reliability Modeling

2019 ◽  
pp. 127-151
Author(s):  
Paulo Romero Martins Maciel ◽  
Jamilson Ramalho Dantas ◽  
Rubens de Souza Matos Júnior
Author(s):  
Lu Zhuang ◽  
Zhong Lu ◽  
Ziwen Zhang

The reliability of the airborne systems have a significant influence on the safety of aircraft. The modern airborne systems have a high degree of automation and integration, which lead to obvious dynamic failure characteristics. Namely, system failure is not only dependent on the combination of units' failures but also related to their sequence. A dynamic reliability method for modeling airborne systems is proposed based on the stochastic Petri nets. Stochastic Petri nets are applied in reliability modeling for typical dynamic structures including warm standby, cold standby and load sharing, which are widely used in airborne systems. In this way, the dynamic (time-dependent) failure behaviors of the airborne system can be represented. In terms of the stochastic Petri net based reliability model, a reliability analysis method based on Monte Carlo simulation is proposed by generating system life samples for system reliability parameter calculation. Finally, an electrical power system is used as a case to illustrate the application and effectiveness of the present approaches. The results show that the difference by using the present method and the analytical method is below 2×10-7, which can be neglected in practice.


2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Bing Wang ◽  
Guangdong Tian ◽  
Yanping Liang ◽  
Tiangang Qiang

Performing reliability analysis of electric vehicle motor has an important impact on its safety. To do so, this paper proposes its reliability modeling and evaluation issues of electric vehicle motor by using fault tree (FT) and extended stochastic Petri nets (ESPN). Based on the concepts of FT and ESPN, an FT based ESPN model for reliability analysis is obtained. In addition, the reliability calculation method is introduced and this work designs a hybrid intelligent algorithm integrating stochastic simulation and NN, namely, NN based simulation algorithm, to solve it. Finally, taking an electric vehicle motor as an example, its reliability modeling and evaluation issues are analyzed. The results illustrate the proposed models and the effectiveness of proposed algorithms. Moreover, the results reported in this work could be useful for the designers of electric vehicle motor, particularly, in the process of redesigning the electric vehicle motor and scheduling its reliability growth plan.


1984 ◽  
Author(s):  
J. B. Dugan ◽  
K. S. Trivedi ◽  
R. M. Geist ◽  
V. F. Nicola

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