Approximate Evaluation of Reliability and Related Quantities via Perturbation Techniques
Final rept. 15 Feb 1988-14 Feb 1989
CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING AND ENGINEERING MECHANICS
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Reliability evaluation of fault tolerant control systems FTCS that include sequential tests for failure detection and identification involve the transient analysis of finite-state semi-Markov chains of very large dimension. Such models for the time horizons of interest are intractable even for simple architectures. This has motivated the work summarized in this report as well as the work that was accomplished under a previous AFOSR grant. The basis for the work is the idea of asymptotic aggregation of semi-Markov chains that include slow and fast transitions. The extension of earlier asymptotic aggregation results primarily due to Korolyuk to models that include decomposed classes that are non-ergodic and the subsequent application of these results to FTCS models was the subject of studies conducted under the previous grant. The research efforts reported here concentrate on the application of the results from the previous study to more general FTCS architectures.
- Statistics and Probability