ЙМОВІРНІСНО- МАТЕМАТИЧНІ МОДЕЛІ УТВОРЕННЯ ІНФОРМАЦІЙНИХ ПОТОКІВ У СИСТЕМІ СИГНАЛІЗАЦІЇ ПРО ПОЖЕЖУ НА ПОВІТРЯНИХ СУДНАХ

• Дата: 2025
• Автори: Al-Ammori, A., Dmytrychenko, A.N., Al-Ammori, H.A.
• Формат: Стаття
• Мова: English
• Опубліковано: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
• Теми: джерело інформації; датчик контрольованих параметрів; ймовірнісно-фізична модель; ймовірність невиявлення події; ймовірність помилкової тривоги
• Онлайн доступ: https://jais.net.ua/index.php/files/article/view/673
• Назва журналу: Problems of Control and Informatics

The article deals with solving the urgent problem for aviation practice, which is to provide the aircraft crew with reliable information from primary sources of information (sensors of controlled parameters) in normal and special flight situations. To solve this problem a probabilistic-physical model of the processes for formation of the information flows of aircraft's fire alarm system is developed. Geometric probabilistic characteristics are shown: the probabilities of correct fire detection, non-detection and false alarm. Mathematically proved conditions ensuring simultaneously equal degree of reducing the probabilities of non-detection and false alarm, i.e. when they are to be simultaneously equal and minimal. It is proposed to consider the fire extinguishing system using the structural diagram of the state graph of the information-reserve system. The analysis of the formation and creation of the control flows in the fire alarm system has been carried out and it has been proved that system probabilities form a complete group of events that can be later considered using mathematical and probabilistic analysis methods to predict the state of the fire alarm system. Mathematical formulas for comparing the probabilities of non-detection and false alarms are obtained and their graphical dependencies with respect to the probability of correct detection and the number of sensors in the system are shown. The mathematical dependence of the coefficient growth of the probability of a correct fire detection compared with the probability of a false alarm, taking into account the number of sensors is obtained. It is proved that with an increase in the number of sensors, the coefficient of growth increases in exponential function. Therefore, in specific conditions, it makes sense to decrease the sensitivity of the sensors, raising the response threshold, while maintaining the conditions for ensuring the minimum values of the probabilities of non-detection and false alarm of fire alarm systems.