A two-queue polling model with priority on one queue and heavy-tailed On/Off sources: a heavy-traffic limit

@article{Delgado2016ATP,
  title={A two-queue polling model with priority on one queue and heavy-tailed On/Off sources: a heavy-traffic limit},
  author={Rosario Delgado},
  journal={Queueing Systems},
  year={2016},
  volume={83},
  pages={57-85}
}
  • R. Delgado
  • Published 1 June 2016
  • Mathematics
  • Queueing Systems
We consider a single-server polling system consisting of two queues of fluid with arrival process generated by a big number of heavy-tailed On/Off sources, and application in road traffic and communication systems. Class-j fluid is assigned to queue j, $$j=1,2$$j=1,2. Server 2 visits both queues to process or let pass the corresponding fluid class. If there is class-2 fluid in the system, it is processed by server 2 until the queue is empty, and only then server 2 visits queue 1, revisiting… 
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