The G t /GI/s t +GI many-server fluid queue

@article{Liu2012TheGT,
  title={The G t /GI/s t +GI many-server fluid queue},
  author={Yunan Liu and Ward Whitt},
  journal={Queueing Syst.},
  year={2012},
  volume={71},
  pages={405-444}
}
This paper introduces a deterministic fluid model that approximates the many-server Gt/GI/st + GI queueing model, and determines the time-dependent performance functions. The fluid model has time-varying arrival rate and service capacity, abandonment from queue, and non-exponential service and patience distributions. Two key assumptions are that: (i) the system alternates between overloaded and underloaded intervals, and (ii) the functions specifying the fluid model are suitably smooth. An… CONTINUE READING
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