Discrete Approach to Simulating Synchronized Relay Races

Abstract

Abstract—A discrete model of a system is constructed consisting of competing teams covering a distance divided into stages such that a stage is considered complete if all team members overcome it, and within each team competition for passing the stages is organized. The model of internal competition in a team is based on the concept of the Petri–Markov net used to discretely describe the synchronization effect: the primary model is transformed into a K-parallel discrete semi-Markov process, which describes relay-type competition between individual teams in which there is no synchronization. The formation of an optimal team activity schedule is based on the concept of distributed penalties.