The c μ / θ rule for many-server queues with abandonment

@inproceedings{Atar2009TheC,
  title={The c μ / θ rule for many-server queues with abandonment},
  author={Rami Atar and Chanit Giat and Nahum Shimkin},
  year={2009}
}
We consider a multiclass queueing system with multiple homogeneous servers and customer abandonment. For each customer class i, the holding cost per unit time, the service rate, and the abandonment rate are denoted by ci, i, and i, respectively. We prove that under a many-server fluid scaling and overload conditions, a server-scheduling policy that assigns priority to classes according to their index ci i/ i is asymptotically optimal for minimizing the overall long-run average holding cost. An… CONTINUE READING
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