APPLICATION THE METHODS OF STATIC HYPOTHESIS CHECKING FOR IMPROVІNG OF ARMORED FIRE-PROTECTION SYSTEM

Abstract

The subject matter of the article is the process of preventing the explosion of fuel-air mixtures and ammunition in the booked volume with the help of armored fire-protection system. The goal is a scientific and technical justification of activities to increasing the armored survivability and crew by improving the methodology of finding the threshold temperature of armored fire-protection system operation. The tasks to be solved are: to analyze statistical data on the effectiveness of the use of fire extinguishing equipment in case of damage to the armor-piercing object by armor-piercing and cumulative projectile; with the help of the apparatus of checking statistical hypotheses to formulate the task of finding the optimal moment of the decision to prevent the fire; to substantiate the functional of the measuring system with the adjustable threshold of fire in the system of fire equipment. The methods of statistical data processing with the help of statistical hypothesis testing and continuum linear programming are used. The following results are obtained. The cooling time of the armor to a temperature below the fuel ignition temperature can be considered as a random value subordinate to the normal distribution law. This problem in the mathematical formulation is formulated as the task of verifying one statistical hypothesis against several alternatives. According to the results of mathematical modeling, we can conclude that the use of randomized rules allows us to make the correct decision in 96% of cases when the level of significance is 0.1. The proposed approach will enable to improve the efficiency of armored fire-protection system without reducing the level of reliability. Technically, this can be achieved through the organization of a measuring system with a regulated trigger threshold in the armored fire-protection system. Conclusions. The scientific novelty of the results obtained is as follows: To find the optimal moment of making a decision on fire prevention, namely the operation of thermal sensors, vibration sensors, air ventilation and fuel pumping system, it is proposed to use the well-known apparatus of the theory of probability and testing of statistical hypotheses according to the observations of combat operations. According to the Neumann-Pearson criterion, the errors of the first and the second kind are determined in case of false operation of the equipment and the passage of the fire respectively, as well as the power of the criterion. This problem in mathematical formulation is formulated as a task of checking one statistic hypothesis against several alternatives. Depending on the specific operating conditions of the armored object, one can extend the range of tasks to be solved: for example, using Bayesian criteria based on the medium-risk function. It is shown that as a tool for checking statistical hypotheses it is expedient to use continuum linear programming.