Abstract
A renewable component with exponential failure and repair times is considered, and its instantaneous availability at time t is denoted by A(t). This paper proposes two methods for constructing lower confidence limits of A(t) with Chebyshev inequation and generalized p-value approach
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Wang Wendai, Kececioglu Dimitri B. Confidence Limits on the Inherent Availability of Equipment, 2000 Proceedungs Annual Reliability and Maintainability Symposium, 2000: 162–168.
Ananda M M A, Gamage J. On steady state availability of a system with lognormal repair time, Applied Mathematics and Computation, 2004, 150: 409–416.
Ananda M M A. Confidence intervals for steady state availability of a system with exponential operating time and lognormal repair time, Applied Mathematics and Computation, 2003, 137: 499–509.
Chandrasekhar P, Natarajan R. Confidence limit for steady state availability of systems with lognormal operating time and inverse Gaussian repair time, Microelectron Reliab, 1997, 37(6): 969–971.
Cao Jinhua, Cheng Kan. Introduction to Reliability Mathematics, Beijing: Science Press, 1986.
Sarkar Jyotirmoy, Chaudhuri Gopal. Availability of a system with gamma life and exponential repair time under a perfect repair policy, Statistics and Probability, 1999, 43: 189–196.
Finkelstein Maxim S, Zarudnjj Vladimir I. Laplace-transforms and fast-repair approximations for multiple availability and its generalizations, Reliability. IEEE Transactions on, 2002, 51(2): 168–176.
Cha Ji Hwan, Kim Jae Joo. On availability of Bayesian imperfect repair model. Statistics and Probability Letters, 2001, 53: 181–187.
Sun Hairong, Han Jame J. The Failure of MTTF in Availability Evaluation, 2002 Proceedungs Annual Reliability and Maintainability Symposium, 2002, 277–284.
Jin Xing, Hong Yanji, Wen Ming, et al. Availability Fast Computing Method for Arbitrary Distribution Component, Chinese Aerospace Science and Technology, 2002, 10(5): 67–71.
Dimitri Kececioglu B. Maintainability, Availability, and Operational Readiness Engineering, Englewood Cliffs PTR Prentice Hall, Inc. 1995.
Tsui K, Weerahandi S. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters, Journal of the American Statistical Association, 1989, 84: 602–607.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhang, G., Xia, Y. & Xu, G. Instantaneous availability assessment of renewable component in exponential distributions. Appl. Math. Chin. Univ. 21, 397–404 (2006). https://doi.org/10.1007/s11766-006-0003-6
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11766-006-0003-6