Heavy traffic limit theorems for a sequence of shortest queueing system

Heavy traffic limit theorems for a sequence of shortest queueing system

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Article ID: iaor19971639
Country: United States
Volume: 21
Issue: 1/2
Start Page Number: 217
End Page Number: 238
Publication Date: Nov 1995
Journal: Queueing Systems
Authors: , ,
Abstract:

A sequence of shortest queueing systems is considered in this paper. The authors give weak convergence theorems for the queue length and waiting time processes when the sequence of traffic intensities associated with the sequence of shortest queueing systems approaches the critical value (ρ=1) at appropriate rates.

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