Multiple Swarm Relay-Races with Alternative Routes

摘要

Competition of swarms, every of which performs a conveyor cooperation of units, operated in physical time, is considered. Such sort of races objectively exists in economics, industry, defense, etc. It is shown, that natural approach to modeling of multiple relay-race with alternative routes is M-parallel semi-Markov process. Due to alternation there are multiple arks in the graph, represented the structure of semi-Markov process. Notion «the space of switches» is introduced. Formulae for calculation the number of routes in the space of switches, stochastic and time characteristics of wandering through M-parallel semi-Markov process are obtained. Conception of distributed forfeit, which depends on stages difference of swarm units, competed in pairs, is proposed. Dependence for evaluation of total forfeit of every participant is obtained. It is shown, that sum of forfeit may be used as optimization criterion in the game strategy optimization task.