Abstract
In this paper we study reliability properties of coherent systems consisting of n exchangeable components. We focus on the aging behavior of a reliability structure and several results are reached clarifying whether a system displays the IFR/DFR property or not. More specifically, a necessary and sufficient condition is deduced for a system’s lifetime to be IFR, while additional signature-based conditions aiming at the same direction are also delivered. For illustration purposes, special cases of well-known reliability systems and specific lifetimes’ distributions are considered and studied in detail.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chao, M. T., Fu, J. C. and Koutras, M. V.: Survey of reliability studies of consecutive−k−out−of−n: F & Related Systems, IEEE Transactions on Reliability, 44, 120–127 (1995).
David, H. A. and Nagaraja, H. N.: Order Statistics, 3rd Edition, John Wiley & Sons, N. J (2003).
Eryilmaz, S.: Review of recent advances in reliability of consecutive-k-out-of-n: F and related systems, Proceedings of the Institution of Mechanical Engineering-Part O- Journal of Risk and Reliability, 224, 225–237 (2010).
Eryilmaz, S.: Reliability properties of systems with two exchangeable log-logistic components, Communication in Statistics-Theory and Methods, 41, 3416–3427 (2012).
Kuo, W. and Zuo, M. J.: Optimal Reliability Modeling: Principles and Applications, John Wiley & Sons, N.J (2003).
Navarro, J. and Rychlik, T.: Reliability and expectation bounds for coherent systems with exchangeable components, Journal of Multivariate Analysis, 98, 102–113 (2007).
Navarro, J. and Eryilmaz, S.: Mean residual lifetimes of consecutive-k-out-of-n: F systems, Journal of Applied Probability, 44, 82–98 (2007).
Navarro, J., Ruiz, J. M. and Sandoval, C. J.: Properties of coherent systems with dependent components, Communication in Statistics- Theory and Methods, 36, 175–191 (2007).
Samaniego, F. J.: System Signatures and their Applications in Engineering Reliability, Vol.110, Springer, N. Y (2007).
Samaniego, F. J.: On closure of the IFR class under formation of coherent systems, IEEE Transactions on Reliability,34, 69–72 (1985).
Steele, J. M.: The Cauchy-Schwarz Master Class, Cambridge University Press, N. Y (2004).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Koutras, M.V., Triantafyllou, I.S. (2014). Reliability Analysis of Coherent Systems with Exchangeable Components. In: Daras, N. (eds) Applications of Mathematics and Informatics in Science and Engineering. Springer Optimization and Its Applications, vol 91. Springer, Cham. https://doi.org/10.1007/978-3-319-04720-1_20
Download citation
DOI: https://doi.org/10.1007/978-3-319-04720-1_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04719-5
Online ISBN: 978-3-319-04720-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)