Analysis of a non-work conserving Generalized Processor Sharing queue

@article{Guillemin2013AnalysisOA,
  title={Analysis of a non-work conserving Generalized Processor Sharing queue},
  author={Fabrice Guillemin},
  journal={CoRR},
  year={2013},
  volume={abs/1305.3536}
}
We consider in this paper a non work-conserving Generalized Processor Sharing (GPS) system composed of two queues with Poisson arrivals and exponential service times. Using general results due to Fayolle et al, we first establish the stability condition for this system. We then determine the functional equation satisfied by the generating function of the… CONTINUE READING