Vacation Queueing Model for Performance Evaluation of Multiple Access Information Transmission Systems without Transmission Interruption

We consider a MAP/PH/1-type queueing system with server vacations as model that is useful for the analysis of multiple access systems polling discipline without transmission interruption. Vacation corresponds to service providing competitive information flows system. In this paper, we vacation under pretty general assumptions about probabilistic distributions describing behavior and realistic assumption, in many real-world systems, ongoing cannot be terminated ahead schedule. derive criterion stable operation stationary states waiting time. An illustrative numerical example presented.