Efficiency analysis for changepoint detection procedure in operation systems of ground navigation equipment

Abstract

Ground-based navigation equipment is used to ensure the safety and regularity of aircraft flights. This equipment includes communication, navigation and surveillance devices. The reliability of navigation equipment is determined by the efficiency of their operation system. The article is devoted to solving the problem of synthesis and analysis of the algorithm for changepoint detection for non-stationary random process. The input data for processing are equipment’s times between failures in case of exponential model, which has different failure rates at different intervals of the quasi-stationarity. The synthesis of the detection procedure is based on Neyman-Pearson criterion with a fixed sample size. During the analysis of the algorithm’s efficiency the theoretical calculations of the decision thresholds were made, on the basis of which the characteristics of changepoint detection were calculated. The statistical modeling based on the Monte Carlo method confirmed the correctness of theoretical calculations.