Diffusion approximations for Kumar-Seidman network under a priority service discipline

@article{Chen1998DiffusionAF,
  title={Diffusion approximations for Kumar-Seidman network under a priority service discipline},
  author={Hong Chen and Hanqin Zhang},
  journal={Oper. Res. Lett.},
  year={1998},
  volume={23},
  pages={171-181}
}
Unlike for a single-class queueing network, diffusion approximations for a multiclass queueing network may not exist under the heavy traffic condition. In this paper, we derive a necessary and sufficient condition for the existence of the diffusion approximation for a four-class two-station multiclass queueing network (known as Kumar-Seidman network) under a priority service discipline. 

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