Abandonment versus blocking in many-server queues: asymptotic optimality in the QED regime

@article{Weerasinghe2013AbandonmentVB,
  title={Abandonment versus blocking in many-server queues: asymptotic optimality in the QED regime},
  author={Ananda Weerasinghe and Avishai Mandelbaum},
  journal={Queueing Syst.},
  year={2013},
  volume={75},
  pages={279-337}
}
We consider a controlled queueing system of the G/M/n/B +GI type, with many servers and impatient customers. The queue-capacity B is the control process. Customers who arrive to a full queue are blocked and customers who wait too long in the queue abandon. We study the tradeoff between blocking and abandonment, with cost accumulated over a random, finite time-horizon, which yields a queueing control problem (QCP). In the many-server Quality and Efficiency-Driven (QED) regime, we formulate and… CONTINUE READING