Reliability Test Plans for Series Systems in the Presence of Covariates
-
S. V. Sabnis
Abstract
With the motivation of developing more realistic test plans, an attempt is made in this paper to construct reliability test plans for the components of series systems under the assumptions that
the component lifetimes are independent, identically distributed exponential random variables,
the failure rates of these exponential random variables depend on covariates, such as room temperature, humidity etc. through linear and exponential relationships.
Our test plans differ from the test plans proposed by Altinel and Özekici (1997) and Alitnel et al. (IIE Transactions 33: 1093-1108, 2001, Reliability Engineering and System Safety 78: 33-43, 2002) in the sense that the former assume dependence on covariates through explicit relationships, while the latter make a very general assumption concerning dependence on covariates. It should be noted that as far as the construction of reliability test plans on component level is concerned, this is the first instance of the use of the penalty function methodology. It should also be highlighted that the numerical results given in this paper illustrate that the use of covariates-related information in the linear case leads to more than 90% savings in total testing cost.
© Heldermann Verlag
Articles in the same Issue
- Estimation on a GAR(1) Process by the EM Algorithm
- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
Articles in the same Issue
- Estimation on a GAR(1) Process by the EM Algorithm
- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
