We present two multiclass queueing networks where the Brownian models proposed by Harrison and Nguyen [3,4] do not exist. If self-feedback is allowed, we can construct such an example with a two-station network. For a three-station network, we can construct such an example without self-feedback.
['Jieyu Dai', 'Yang Wang']
Nonexistence of Brownian models for certain multiclass queueing networks