Closed reentrant lines in heavy traffic: fluid limits and efficiency
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abstract
In this paper, we show that fluid limits can be used to study the asymptotic throughput of a stochastic closed reentrant line in the infinite population limit. As applications of this technique, the Last Buffer First Serve (LBFS) scheduling policy, and the Harrison-Wein Balanced policy for two station networks, are shown to be efficient, i.e., that they attain bottleneck throughput in the infinite population limit.
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Proceedings of 1995 34th IEEE Conference on Decision and Control