OPTIMAL CONTROL OF PARALLEL QUEUES WITH BATCH SERVICE

@article{Xia2002OPTIMALCO,
  title={OPTIMAL CONTROL OF PARALLEL QUEUES WITH BATCH SERVICE},
  author={C. Xia and G. Michailidis and N. Bambos and P. Glynn},
  journal={Probability in the Engineering and Informational Sciences},
  year={2002},
  volume={16},
  pages={289-307}
}
We consider the problem of dynamic allocation of a single server with batch processing capability to a set of parallel queues. Jobs from different classes cannot be processed together in the same batch. The arrival processes are mutually independent Poisson flows with equal rates. Batches have independent and identically distributed exponentially distributed service times, independent of the batch size and the arrival processes. It is shown that for the case of infinite buffers, allocating the… Expand
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