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

Authors:
Hong Chen;Hanqin Zhang
Affiliations:
Faculty of Commerce and Business Administration, UBC, Canada and Department of Industrial Engineering, HK University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong;Institute of Applied Mathematics, Academia Sinica, Beijing, People's Republic of China
Venue:
Operations Research Letters
Year:
1998

Citing 3
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Large fluctuations in a deterministic multiclass network of queues

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Stability of Multiclass Queueing Networks Under Priority Service Disciplines

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A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines

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Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks

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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.