An alternative approach to heavy-traffic limits for finite-pool queues

@article{Bet2020AnAA,
  title={An alternative approach to heavy-traffic limits for finite-pool queues},
  author={G. Bet},
  journal={Queueing Systems},
  year={2020},
  volume={95},
  pages={121-144}
}
  • G. Bet
  • Published 2020
  • Mathematics, Computer Science
  • Queueing Systems
We consider a model for transitory queues in which only a finite number of customers can join. The queue thus operates over a finite time horizon. In this system, also known as the $$\Delta _{(i)}/G/1$$ Δ ( i ) / G / 1 queue, the customers decide independently when to join the queue by sampling their arrival time from a common distribution. We prove that, when the queue satisfies a certain heavy-traffic condition and under the additional assumption that the second moment of the service time is… Expand
Weighted Dyck paths for nonstationary queues

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