Influência do raio, da distância e do movimento estocástico no problema de perseguição multidimensional

Abstract

This work investigates the influence of the radius, the distance and the stochastic movement in the multidimensional pursuit problem. Using Monte Carlo simulation, a point in deterministic motion and an object in random motion take steps that are discrete or sufficiently small to simulate the continuous behavior. We utilize tools from the statistical inference to analyze the findings relative to the percentage of captures, random variable. These findings allow us to indicate that there is a directly proportional relationship between the percentage of captures and the radius, as well as the probabilistic distribution of the steps. Furthermore the increase of the initial distance between the point and the object can alter the behavior of the random variable.