The internal states of the 3-component standby system

Download
Author
Keitel, Karl-Heinz E.
Date
1986-09Advisor
Esary, James D.
Second Reader
Jacobs, Patricia A.
Metadata
Show full item recordAbstract
The study analyzes the internal states of a 3-component system with one active element and two spares in cold standby (pure replacement policy without repair). Elements of the system are assumed to have exponentially distributed lifetimes, however, special attention is paid to systems composed of components with different failure rates. The analysis is developed as a continuous-time Markovian process with stationary transition probabilities. Probabilities that exactly i components have failed by time t are calculated based on three levels of information: for systems in unknown condition, for systems known to be in UP-condition, and for systems whose condition was not observed for some amount of time. A key part is the investigation of conditional probabilities of i components having failed by time t for a system known to be UP, the conditional limiting distribution as t-oo, and relation to the system failure rate. State probabilities for systems not monitored continuously for being UP are shown to be bounded between those corresponding to systems that are either observed constantly or not at all.
Rights
Copyright is reserved by the copyright ownerCollections
Related items
Showing items related by title, author, creator and subject.
-
Evaluating Atlantic tropical cyclone track error distributions for use in probabilistic forecasts of wind distribution
Neese, Jay M. (Monterey, California. Naval Postgraduate School, 2010-09);This thesis investigates whether the National Hurricane Center (NHC) operational product for producing probabilistic forecasts of tropical cyclone (TC) wind distributions could be further improved by examining the ... -
An approximation for computing reduction in bandwidth requirements using intelligent multiplexers
Henson, Lesley Jeanne Painchaud (Monterey, California. Naval Postgraduate School, 1993-03);This paper stochastically models a single-node telecommunications system both with and without the use of intelligent multiplexing. Intelligent multiplexers take advantage of the idle periods or silences that occur during ... -
Modeling single-event transients in complex digital systems
Clark, Kenneth A. (Monterey, California: Naval Postgraduate School, 2002-06);A methodology to determine the effect of single-event transients (SETs) on complex digital systems has been developed. This methodology is based on the SET-state-transition model. This model breaks the complex digital ...