Abstract
As an idea of non-coherent systems, such systems where the system’s state can not be completely determined by the states of its components are considered. This structual model will be used in identifying the failure mechanism based on failure pattern data. The properties of such systems are also investigated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. E. Barlow, D. J. Bartholomew, J. M. Bremner and H. D. Brunk, Statistical Inference under Order Restrictions, John Wiley and Sons, 1972.
R. E. Barlow and F. Proschan, Mathematical Theory of Reliability, John Wiley and Sons, 1965.
R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, Holt Rinehart and Winston, 1975.
T. L. Chu and G. Apostolakis, “Metods for Probabilistic Analysis of Noncoherent Fault Trees,” IEEE Trans. Reliab., vol. R-29(5), 1980, pp. 354–360.
H. A. David and M. L. Moeschberger, The Theory of Competing Risks, Griffin, London, 1978.
R. A. Howard, Dynamic Programming and Markov Processes, M.I.T. Press, 1960.
T. Inagaki and E.J. Henley, “Probabilistic Evaluation of Prime Implicants and Top-Events for Non-Coherent Systems,” IEEE Trans. Reliab., vol. R-29(5), 1980, pp. 361–367.
H. Mine and H. Kawai, “An Optimal Inspection and Replacement Policy,” IEEE Trans. Reliab., vol. R-24(5), 1975, PP. 305–309.
F. Ohi and T. Nishida, “On Multistate Coherent Systems,” Proc. of the 18th SSOR, 1983, pp. 61-65.
K. Tatsuno, F. Ohi and T. Nishida, “Optimal Maintenance Policy with Minimal Repair for Stochastically Failing System,” Jour. Opr. Res. Soc. Japan, vol. 25(3), 1982, pp. 238–247.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Miyakawa, M. (1984). On Stochastic Coherent Systems. In: Osaki, S., Hatoyama, Y. (eds) Stochastic Models in Reliability Theory. Lecture Notes in Economics and Mathematical Systems, vol 235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45587-2_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-45587-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13888-4
Online ISBN: 978-3-642-45587-2
eBook Packages: Springer Book Archive