Methods of applying matrices in creating models of group pursuit

Abstract

The article deals with the application of matrix modeling to the group pursuit of objects. The article applies matrix modeling to the group pursuit of objects based on models of actual objects' behavior and can be used in simulation modeling packages, virtual simulation of game processes, or transport logistics processes. The results of the article may be in demand in creating virtual reality models of delivery of postal goods by drones in creating an optimized hub - network. The author proposes to consider the model of group pursuit of multiple targets. Methods of pursuit by individual subjects are various modifications of methods of parallel approach, pursuit, and proportional approach. The author constructed a matrix reflecting the number of chasers and the number of targets. The conducted research contains a model of group pursuit of a set of targets. The model contains optimization based on the least time of simultaneous achievement of goals. These results are in the certificate of registration of programs for computers. Objectives assume that in the method of dynamic programming of matrices of distribution of pursuers, we will construct the matrix at each discrete moment, because the number of pursuers and objectives, and their strategies can change at any moment. The methods of forming matrices of distribution of pursuers and goals can be in demand in the design of virtual reality systems for game tasks. Such tasks simulate the process of group pursuit, running away, and evasion. The method of dynamic programming for the distribution matrix of pursuers on targets will allow us to move to an automated distribution process with optimization according to the specified parameters.