Stationary analysis of the Shortest Queue First service policy

@article{Guillemin2014StationaryAO,
  title={Stationary analysis of the Shortest Queue First service policy},
  author={Fabrice Guillemin and Alain Simonian},
  journal={Queueing Syst.},
  year={2014},
  volume={77},
  pages={393-426}
}
We analyze the so-called Shortest Queue First (SQF) queueing discipline whereby a unique server addresses queues in parallel by serving at any time that queue with the smallest workload. Considering a stationary system composed of two parallel queues and assuming Poisson arrivals and general service time distributions, we first establish the functional equations satisfied by the Laplace transforms of the workloads in each queue. We further specialize these equations to the so-called “symmetric… CONTINUE READING

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