Dynamic Routing and Admission Control in High-Volume Service Systems: Asymptotic Analysis via Multi-Scale Fluid Limits

@article{Bassamboo2005DynamicRA,
  title={Dynamic Routing and Admission Control in High-Volume Service Systems: Asymptotic Analysis via Multi-Scale Fluid Limits},
  author={Achal Bassamboo and J. Michael Harrison and Assaf J. Zeevi},
  journal={Queueing Syst.},
  year={2005},
  volume={51},
  pages={249-285}
}
Motivated by applications in telephone call centers, we consider a service system model with m customer classes and r server pools. The model is one with doubly stochastic arrivals, which means that the m-vector λ of instantaneous arrival rates is allowed to vary both temporally and stochastically. Two levels of dynamic control are considered: customers may be either blocked or accepted at the time of their arrival, and then accepted customers of each class must be routed, either immediately… CONTINUE READING
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