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

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

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Article ID: iaor20011569
Country: Netherlands
Volume: 23
Issue: 3/5
Start Page Number: 171
End Page Number: 181
Publication Date: Oct 1998
Journal: Operations Research Letters
Authors: ,
Keywords: queueing networks, diffusion equations
Abstract:

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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