Reliability Estimation for Zero-Failure Data Based on Confidence Limit Analysis Method

Due to the improvement of the quality of industrial products, zero-failure data often occurs during the reliability life test or in the service environment, and such problems cannot be handled using traditional reliability estimation methods. Regarding the processing and analysis of zero-failure data, the confidence limit assessment methods were proposed by some researchers. Based on the existing research, a confidence limit method set (CLMS) is established in the Weibull distribution for reliability estimation of zero-failure data. The method set includes the unilateral confidence limit method and optimal confidence limit method, so that almost all existing grouping types of zero-failure data can be quickly evaluated, and multiple methods can be used in parallel to deal with the same problem. The effectiveness and high efficiency of the CLMS combined with numerical simulation examples have been verified, and the possibility of analyzing multiple groups of zero-failure data with a confidence limit method suitable for processing single group of zero-failure data is expanded. Finally, the actual effect of the method set is verified by the single group of zero-failure data of rolling bearings and the multiple groups of zero-failure data of torque motors. The results of the example evaluation show that the CLMS has obvious advantages in practical engineering applications.

[1]  Hoang Pham,et al.  On Recent Generalizations of the Weibull Distribution , 2007, IEEE Transactions on Reliability.

[2]  Ding-Geng Chen,et al.  A robust Bayesian mixed effects approach for zero inflated and highly skewed longitudinal count data emanating from the zero inflated discrete Weibull distribution , 2020, Statistics in medicine.

[3]  Seyit A Kayis Evaluation of confidence limit estimates of cluster analysis on molecular marker data. , 2012, Journal of the science of food and agriculture.

[4]  Guangdeng Zong,et al.  Observed-based adaptive finite-time tracking control for a class of nonstrict-feedback nonlinear systems with input saturation , 2020, J. Frankl. Inst..

[5]  Ming Li,et al.  Reliability assessment of high‐quality and long‐life products based on zero‐failure data , 2018, Quality and Reliability Engineering International.

[6]  Ahmed Hafaifa,et al.  Exploration of reliability algorithms using modified Weibull distribution: application on gas turbine , 2017, Int. J. Syst. Assur. Eng. Manag..

[7]  Bin Liu,et al.  A Generic Construction of Quantum-Oblivious-Key-Transfer-Based Private Query with Ideal Database Security and Zero Failure , 2017, IEEE Transactions on Computers.

[8]  H. F. Martz,et al.  A Bayesian Zero-Failure (BAZE) Reliability Demonstration Testing Procedure , 1979 .

[9]  Xin Huo,et al.  Observer-based adaptive neural tracking control for output-constrained switched MIMO nonstrict-feedback nonlinear systems with unknown dead zone , 2020 .

[10]  G. S. Mahapatra,et al.  A neuro-particle swarm optimization logistic model fitting algorithm for software reliability analysis , 2019 .

[11]  J. Bert Keats,et al.  EVALUATING COMPLEX SYSTEM RELIABILITY USING RELIABILITY BLOCK DIAGRAM SIMULATION WHEN LITTLE OR NO FAILURE DATA ARE AVAILABLE , 2000 .

[12]  Bo Guo,et al.  Weibull Failure Probability Estimation Based on Zero-Failure Data , 2015 .

[13]  Xiao-Heng Chang,et al.  Estimation for a Class of Parameter-Controlled Tunnel Diode Circuits , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.