Reliability analysis of coherent systems subject to internal failures and external shocks

2019 ◽  
Vol 181 ◽  
pp. 75-83 ◽  
Author(s):  
Xianzhen Huang ◽  
Sujun Jin ◽  
Xuefeng He ◽  
David He
Keyword(s):  
Reliability Analysis ◽  
External Shocks ◽  
Coherent Systems

scholarly journals Further Results of the TTT Transform Ordering of Order n

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1960
Author(s):  
Lei Yan ◽  
Diantong Kang ◽  
Haiyan Wang
Keyword(s):  
Reliability Analysis ◽  
Partial Order ◽  
Stochastic Models ◽  
Stochastic Order ◽  
Order Relation ◽  
Partial Order Relation ◽  
Coherent Systems ◽  
Closure Properties ◽  
Distributed Components ◽  
Distribution Class

To compare the variability of two random variables, we can use a partial order relation defined on a distribution class, which contains the anti-symmetry. Recently, Nair et al. studied the properties of total time on test (TTT) transforms of order n and examined their applications in reliability analysis. Based on the TTT transform functions of order n, they proposed a new stochastic order, the TTT transform ordering of order n (TTT-n), and discussed the implications of order TTT-n. The aim of the present study is to consider the closure and reversed closure of the TTT-n ordering. We examine some characterizations of the TTT-n ordering, and obtain the closure and reversed closure properties of this new stochastic order under several reliability operations. Preservation results of this order in several stochastic models are investigated. The closure and reversed closure properties of the TTT-n ordering for coherent systems with dependent and identically distributed components are also obtained.

Reliability analysis for complex systems subject to competing failure processes in an uncertain environment

2020 ◽  
Vol 39 (3) ◽  
pp. 4331-4339
Author(s):  
Baoliang Liu ◽  
Zhiqiang Zhang ◽  
Yanqing Wen ◽  
Shugui Kang ◽  
Yanxin Guo ◽  
...  
Keyword(s):  
Complex Systems ◽  
Reliability Analysis ◽  
Uncertainty Theory ◽  
Probability Distributions ◽  
External Shocks ◽  
Process Reliability ◽  
Degradation Models ◽  
Renewal Reward Process ◽  
Internal Degradation

Reliability analysis of complex systems subject to competing failure processes based on probability theory has received increasing attention. However, in many situations, the observed data is too limited to estimate the parameters and probability distributions of the system by statistic methods. To address this problem, an uncertain degradation models is proposed in this paper under the framework of uncertainty theory. Based on this model, a complex system which is subject to both continuous internal degradation and external shocks is introduced. The continuous internal degradation of the system is controlled by some uncertain factors, and the external shocks are deemed to an uncertain renewal reward process. Reliability for the complex systems is obtained by employing the uncertainty theory. Finally, a case study is presented to demonstrate the effectiveness of the results obtained in the paper.

Human reliability analysis for control room upgrades

2009 ◽  
Author(s):  
Ronald Laurids Boring ◽  
Johanna Oxstrand ◽  
Michael Hildebrandt
Keyword(s):  
Reliability Analysis ◽  
Control Room ◽  
Human Reliability ◽  
Human Reliability Analysis

Two Years after the Crisis: Do Risks of the Second Wave Become Stronger?

2011 ◽  
pp. 4-20
Author(s):  
M. Ershov
Keyword(s):  
High Risk ◽  
World Economy ◽  
External Shocks ◽  
Global Imbalances ◽  
Russian Economy ◽  
The World ◽  
The Future ◽  
Second Wave

With signs of normalization seemingly in place in the world economy, a number of problems show the possibility of aggravation in the future. The volume of derivatives in American banks grows significantly, high risk instruments are back in place and their use becomes more active, global imbalances increase. All of the above requires thorough approaches when creating mechanisms which can neutralize external shocks for the Russian economy and make it possible to develop in the new post-crisis environment.

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