Research of semi-markov queueing models using controlled input flow. bsmap-flow

The research of queuing model with controlled semi-Markov batch flow is carried out. CBSMAO-flow is a generalization of BMAP-flow. Several alternative designs of a control set are considered. The income functional is constructed on trajectories of a controlled semi-Markov process. Two theorems are proven about the structure of the cumulative income functional for the novel queuing model under consideration.