Nonexistence of Brownian models for certain multiclass queueing networks
Two multiclass queueing open networks are considered where Harrison and Nguyen Brownian models do not exist. Such example is constructed for 2- node network when self-feedback is allowed (i.e. a customer leaving a node may immediately visit to the same station). For 3-node network without self-feedback the example is constructed also. These examples show that it is difficult to formulate a correct Brownian model for general multiclass networks.
scientific article; zbMATH DE number 218350