Stability of periodic polling system with BMAP arrivals

@article{Saffer2009StabilityOP,
  title={Stability of periodic polling system with BMAP arrivals},
  author={Zsolt Saffer and Mikl{\'o}s Telek},
  journal={European Journal of Operational Research},
  year={2009},
  volume={197},
  pages={188-195}
}
This paper considers the stability of BMAP/GI/1 periodic polling models with mixed service disciplines. The server attends the N stations in a repeating sequence of stages. Customers arrive to the stations according to batch Markov arrival processes (BMAP s). The service times of the stations are general independent and identically distributed. The characterization of global stability of the system, the order of instability of stations and the necessary and sufficient condition for the… CONTINUE READING