Name
Abstract | ||
|---|---|---|
This paper generalizes the linear multistate consecutively-connected system model by introducing allowable gaps. The new model consists of N +1 linearly ordered nodes. Some of these nodes contain statistically independent multistate elements with different characteristics. Each element j can provide a connection between the node to which it belongs and Xj next nodes, where Xj is a discrete random variable with known probability mass function. The system fails if it contains at least m consecutive nodes not connected with any previous node (m consecutive gaps). An algorithm based on the universal generating function method is suggested for the system reliability evaluation. Illustrative examples are presented. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/TR.2011.2182393 | IEEE Transactions on Reliability |
Keywords | Field | DocType |
linear multistate consecutively-connected system model,probability mass function,universal generating function method,statistically independent multistate elements,random processes,statistical analysis,discrete random variable,linear consecutively-connected system,system reliability evaluation,linearly ordered nodes,system reliability,gap constraints,universal generating function,reliability theory,multistate elements,probability,generating function,system modeling,radiation detector,radiation detectors,random variables,random variable,vectors,reliability,statistical independence | Probability mass function,Discrete mathematics,Random variable,Universal generating function,Stochastic process,Statistics,Independence (probability theory),Mathematics,System model,Statistical analysis,Reliability theory | Journal |
Volume | Issue | ISSN |
61 | 1 | 0018-9529 |
Citations | PageRank | References |
6 | 0.55 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanping Xiang | 1 | 157 | 21.73 |
| Gregory Levitin | 2 | 1422 | 115.34 |
| Yuan-Shun Dai | 3 | 1357 | 98.96 |