Investigation of Target Occlusion Duration Based on Euler Iteration and Monte Carlo Methods

Abstract

This paper investigates the calculation and optimization of target masking duration based on the Euler iteration method and Monte Carlo algorithm. Through numerical simulation and algorithmic optimization, it aims to explore the variation patterns of masking duration under different parameters and determine the optimal parameter configuration. First, a coordinate update model based on Euler iteration is constructed. Initial coordinates and motion parameters of moving bodies are set, and their three-dimensional coordinates are iteratively updated with infinitesimal time steps. The coordinate calculation logic for different motion phases is clarified, providing foundational data support for occlusion duration assessment. Second, an occlusion effectiveness assessment model is established. Key distances are computed using spatial geometry methods, and occlusion criteria are defined through sign functions. The cumulative time meeting occlusion conditions enables quantitative calculation of occlusion duration under specified parameters, while analyzing the impact of resistance factors on results. Finally, a single-objective optimization model is designed to maximize the duration of concealment. Based on the Monte Carlo algorithm, random sampling is performed within parameter constraints. Through multiple numerical simulations, the optimal parameter combination is selected to achieve the maximum concealment duration, validating the algorithm's effectiveness in parameter optimization and duration enhancement.