Author:
Siju K.C. Siju K.C.,Kumar Mahesh
Abstract
PurposeThis article considers a reliability model where the failure is due to cumulative damage exceeding a threshold level. The concept that the threshold level of cumulative damage at each arrival of shock can change based on whether the magnitude of each shock exceeds its defined threshold level is considered to compute the system reliability.Design/methodology/approachThe stochastic process approach is used to obtain the cumulative damage based on Poisson arrival of shocks. The general expression for reliability is obtained using the conditional probability over each arrival of shock. The method of maximum likelihood estimation is used to obtain the estimators of the parameters and system reliability. A sensitivity analysis is performed to measure the effect of the parameter representing the rate of arrival of shock.FindingsThe maximum likelihood estimates of the reliability approach the actual reliability for increasing sample size. A sensitivity analysis study on the parameter representing the rate of arrival of shock shows that as the values of parameter increase (decrease), the reliability value decreases (increases).Originality/valueObtained a new expression for the cumulative damage–shock model and the findings are positively supported by presenting the general trend of estimated values of reliability approaching the actual value of reliability. The sensitivity analysis also genuinely supports our findings.
Subject
Strategy and Management,General Business, Management and Accounting
Reference25 articles.
1. Modelling age based replacement decisions considering shocks and failure rate;International Journal of Quality and Reliability Management,2016
2. Dynamic stress-strength modeling with cumulative stress and strength degradation,2014
3. Estimation of reliability with cumulative stress and strength degradation;Statistics,2017
4. On history-dependent shock models;Operations Research Letters,2013
5. Reliability analysis of load-sharing systems subject to dependent degradation processes and random shocks;IEEE Access,2017
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