Development of a mathematical model of information serial redundancy of management information systems of the aircraft fire alarm
DOI:
https://doi.org/10.15587/1729-4061.2017.96296Keywords:
alarm system efficiency, information reliability, serial redundancy, information source, fireAbstract
The issues of improving the effectiveness of information systems by means of serial information redundancy due to an increase in the reliability of control of dangerous flight situations on board aircrafts are considered. The use of microprocessor equipment taking into account the physical principles of connection of sensors to determine dangerous situations on board aircrafts is proposed. The method for serial switching of detectors (with memory), considering a priori information according to the Bayes' method is proposed. The mathematical and graphical dependencies of the a priori probability of fire detection on the sensor quality with the given values of a posteriori probability and the number of repeated requests α=f(P1, g, k) are obtained.
It is found that, in order to implement serial information redundancy, the following requirements shall be taken into account: high technical reliability of a particular information source; relatively large permissible information aging time; short correlation time of random technical faults, transient failures, fluctuation noise, etc.
If the a priori probability a of a controlled phenomenon is low, the probabilities p1 and p2 change slowly with increasing k, and the probability p3 (false alarm) can be quite high, in comparison with the probability of non-detection p2.
If the probability a is sufficiently high, the probability p1 effectively increases with increasing k, and the probability of non-detection p2 will be greater than the probability of false alarm p3.
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Copyright (c) 2017 Ali Al-Ammouri, Petr Dyachenko, Anastasiia Degtiarova
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