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Nonexistence of Brownian models for certain multiclass queueing networks - MaRDI portal

Nonexistence of Brownian models for certain multiclass queueing networks (Q1801805)

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scientific article; zbMATH DE number 218350
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Nonexistence of Brownian models for certain multiclass queueing networks
scientific article; zbMATH DE number 218350

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    Nonexistence of Brownian models for certain multiclass queueing networks (English)
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    17 February 1994
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    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.
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    multiclass queueing open networks
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    Brownian model
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    multiclass networks
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