A multiclass Station with Markovian Feedback in Heavy Traffic
- 1 August 1995
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 20 (3) , 721-742
- https://doi.org/10.1287/moor.20.3.721
Abstract
This paper proves a heavy traffic limit theorem for a multiclass service station with Markovian feedback. This result generalizes the one proved by Reiman (Reiman, M. I. 1988. A multiclass feedback queue in heavy traffic. Adv. Appl. Probab. 20 179–207.). Our approach also significantly simplifies Reiman's original proof. Numerical examples are presented to illustrate the effectiveness of the QNET method which is rooted in the theorem.Keywords
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