Application of Arithmetic-Geometric Mean Inequality for Construction of Reliability Test Plan for Parallel Systems in the Presence of Covariates
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S. V. Sabnis
Abstract
Most of the component level reliability test plans that are available in literature have been developed for series and parallel systems under the assumption that components have constant failure rates. Here an attempt is made to construct a test plan for a parallel system with the failure rates of the corresponding exponential distributions depending upon covariates such as room temperature, pressure etc. In this note, unlike in the works of Altinel and others [Computational Statistics & Data Analysis 14: 281-292, 1992, European Journal of Operational Research 78: 318-333, 1994, Naval Research Logistics 44: 187-197, 1997, European Journal of Operational Research 111: 175-186, 1998, IIE Transactions 33: 1093-1108, 2001, Reliability Engineering and System Safety 78: 33-43, 2002], component failure rates are explicitly expressed in terms of covariates via exponential relationship. The development of this note parallels that of Yan and Mazumdar [IEEE Transactions on Reliability 36: 419-424, 1987], except that it involves the use of Arithmetic-Geometric Mean inequality. The obtained numerical results highlight the importance of this note by distinctly showing economic advantages in using covariates related information.
© Heldermann Verlag
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- A Note on Run Length Variability Reduction for EWMA Charting
- A Note on Nature and Significance of Stochastic Models
- Estimation of Pareto Survival Function in the Presence of Outlying Observations
- Loss Reduction in Point Estimation Problems
- Application of Arithmetic-Geometric Mean Inequality for Construction of Reliability Test Plan for Parallel Systems in the Presence of Covariates
- On Bayesian Estimation in a Parallel System
- Approximating Reliability of a System with Doubly Bounded Performance Functions
- Probability Weighted Moments Approach to Quality Control Charts
- Weibull Extension of Bivariate Exponential Regression Model with Gamma Frailty for Survival Data
- Nonlinear Tobit Decomposition
- Reliability Test Plans for Exponentiated Log-Logistic Distribution
- Transient Analysis of a System with Queue Dependent Servers and Controllable Arrivals
Articles in the same Issue
- A Note on Run Length Variability Reduction for EWMA Charting
- A Note on Nature and Significance of Stochastic Models
- Estimation of Pareto Survival Function in the Presence of Outlying Observations
- Loss Reduction in Point Estimation Problems
- Application of Arithmetic-Geometric Mean Inequality for Construction of Reliability Test Plan for Parallel Systems in the Presence of Covariates
- On Bayesian Estimation in a Parallel System
- Approximating Reliability of a System with Doubly Bounded Performance Functions
- Probability Weighted Moments Approach to Quality Control Charts
- Weibull Extension of Bivariate Exponential Regression Model with Gamma Frailty for Survival Data
- Nonlinear Tobit Decomposition
- Reliability Test Plans for Exponentiated Log-Logistic Distribution
- Transient Analysis of a System with Queue Dependent Servers and Controllable Arrivals
