# 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} }

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

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