A decomposition for multistate monotone systems
- 1 June 1982
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 19 (2) , 391-402
- https://doi.org/10.2307/3213490
Abstract
A decomposition theorem for multistate structure functions is proven. This result is applied to obtain bounds for the system performance function. Another application is made to interpret the multistate structures of Barlow and Wu. Various concepts of multistate importance and coherence are also discussed.Keywords
This publication has 7 references indexed in Scilit:
- Multivariate Increasing Failure Rate Average DistributionsThe Annals of Probability, 1980
- Multistate reliability modelsJournal of Applied Probability, 1980
- Multivariate Distributions with Increasing Hazard Rate AverageThe Annals of Probability, 1979
- Multivalued State Component SystemsThe Annals of Probability, 1979
- Coherent Systems with Multi-State ComponentsMathematics of Operations Research, 1978
- Two Concepts of Positive Dependence, with Applications in Multivariate Analysis.Published by Defense Technical Information Center (DTIC) ,1978
- Multistate coherent systemsJournal of Applied Probability, 1978