Use of three-dimensional stochastic networks in the simulation of transportation processes (Q1819694)

Three-dimensional stochastic queueing networks are considered that have Poisson streams of calls that arrive in groups in the accumulator system, as well as a recurrent flow of mobile servers. The form of the generating function of the queue length distribution in the accumulator system is determined, as well as the probability of rejection of a call requesting service, with an equiprobable discipline of service of a call from the queue and an average time of waiting of a call for the beginning of service. The use of three-dimensional stochastic networks in the simulation of transportation processes is explained, especially in the case of city commuter traffic.