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Impact of near-coincident faults on digital flight control systems. (English) Zbl 0831.90059

Summary: The effects of near-coincident faults must be taken into account in designing highly reliable digital flight control systems. In this paper closed-form solutions for permanent and transient near-coincident fault factors are derived, based on the behavioral decomposition/aggregation technique and Markov version of the CARE III coverage model. Parameters of the model are assumed to be exponentially distributed. The influence of fault detection rate, fault detactability, error production and propagation rates, error detectability, and transient fault/error transition rate on the near-coincident fault factors is discussed. Eventually, a homogeneous, continuous-time Markov chain is used for describing a triple modular redundant (TMR) system. The near-coincident fault factors are employed for analyzing the effect of the interferring faults on reliability of the TMR computer. System reliability and near- coincident fault unreliability are plotted as functions of mission time, fault detectability, and weight of permanent and transient fault/errors. The impact of near-coincident faults can be curbed by increasing fault detectability. That impact is also lower when the percentage of transients is higher.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
90B15 Stochastic network models in operations research
68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
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