Reliability assessment of replaceable shuffle-exchange network by using interval-valued universal generating function

2021 ◽  
pp. 419-455
Author(s):  
Amisha Khati ◽  
S.B. Singh
Keyword(s):  
Generating Function ◽  
Reliability Assessment ◽  
Exchange Network ◽  
Shuffle Exchange Network ◽  
Interval Valued ◽  
Universal Generating Function

Reliability Assessment for Uncertain Multi-state Systems: An Extension of Fuzzy Universal Generating Function

2018 ◽  
Vol 21 (3) ◽  
pp. 945-953 ◽  
Author(s):  
Wenjie Dong ◽  
Sifeng Liu ◽  
Qin Zhang ◽  
Rafal Mierzwiak ◽  
Zhigeng Fang ◽  
...  
Keyword(s):  
Generating Function ◽  
Reliability Assessment ◽  
Universal Generating Function

Discrete Interval-Valued Stress-Strength Interference Model Based on the Extended Universal Generating Function

2012 ◽  
Vol 246-247 ◽  
pp. 441-445 ◽  
Author(s):  
Hui Xin Guo ◽  
Xiao Bin Pang ◽  
Xin Fa Yang ◽  
Li Zhi Cheng
Keyword(s):  
Experimental Data ◽  
Generating Function ◽  
Random Variable ◽  
Reliability Estimation ◽  
Interference Model ◽  
Upper And Lower Bounds ◽  
Machine Component ◽  
Discrete Interval ◽  
Interval Valued ◽  
Universal Generating Function

A new approach was proposed to estimate the reliability of a machine component when the probability density functions of stress and strength can not be exactly determined or only finite experiment data of stress and strength are available. The conventional universal generating function was introduced and then it was extended to represent the discrete interval-valued random variable. The experimental data of stress and strength were formulated as two discrete interval-valued random variables. Based on the extended universal generating function, a discrete interval-valued stress-strength interference model was proposed. An approach was proposed to solve the proposed stress-strength interference model and it can be used to calculate the upper and lower bounds of the component reliability. An example was given to demonstrate the proposed approach. It is showed that the proposed approach is suitable to the reliability estimation of a machine component when only finite experimental data of stress and strength can be obtained.

scholarly journals Reliability assessment of wind turbine generators by fuzzy universal generating function

2021 ◽  
Vol 23 (2) ◽  
pp. 308-314
Author(s):  
Tudi Huang ◽  
Tangfan Xiahou ◽  
Yan-Feng Li ◽  
Hua-Ming Qian ◽  
Yu Liu ◽  
...  
Keyword(s):  
Wind Turbine ◽  
Generating Function ◽  
Fuzzy Numbers ◽  
Epistemic Uncertainty ◽  
Reliability Assessment ◽  
System Structure ◽  
Limited Data ◽  
Turbine Generators ◽  
Wind Turbine Generators ◽  
Universal Generating Function

Wind power has been widely used in the past decade because of its safety and cleanness. Double fed induction generator (DFIG), as one of the most popular wind turbine generators, suffers from degradation. Therefore, reliability assessment for this type of generator is of great significance. The DFIG can be characterized as a multi-state system (MSS) whose components have more than two states. However, due to the limited data and/or vague judgments from experts, it is difficult to obtain the accurate values of the states and thus it inevitably contains epistemic uncertainty. In this paper, the fuzzy universal generating function (FUGF) method is utilized to conduct the reliability assessment of the DFIG by describing the states using fuzzy numbers. First, the fuzzy states of the DFIG system’s components are defined and the entire system state is calculated based the system structure function. Second, all components’ states are determined as triangular fuzzy numbers (TFN) according to experts’ experiences. Finally, the reliability assessment of the DFIG based on the FUGF is conducted.

Fuzzy Reliability Assessment of Consecutive r Out of k From n G System Using UGF

2021 ◽  
pp. 181-191
Author(s):  
KM. Meenakshi ◽  
Akshay Kumar ◽  
S. B. Singh
Keyword(s):  
Set Theory ◽  
Generating Function ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Reliability Assessment ◽  
Fuzzy Reliability ◽  
Numerical Example ◽  
System A ◽  
Special Case ◽  
Universal Generating Function

This chapter considers a consecutive r-out of-k-from n: G system taken for the study. The considered system works if at least r elements out of k consecutive elements within n elements work. The consecutive r-out of-k-from n: G system is special case of linear consecutive k-out-of-r-from-n:G system. A technique is applied for analyzing fuzzy reliability of the system using universal generating function and fuzzy set theory. At the end of the chapter, the proposed technique is demonstrated from a numerical example.

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