The Proof of a Folk Theorem on Queuing Delay with Applications to Routing in Networks
Journal of the ACM (JACM)
The price of forgetting in parallel and non-observable queues
Performance Evaluation
Tracking highly mobile users using replicated databases
Computer Communications
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This paper presents new algorithms to construct a Generalized Round Robin (GRR) routing sequence for distributing one stream of traffic to multiple queues. The performance objective is to minimize the expected delay. Given a target allocation in terms of the fraction of jobs that should be routed to each queue, the algorithms scan the queues in order of descending fraction and assign the next job to the first queue with current allocation not exceeding an easilycomputed threshold. We prove that the constructed sequence has properties related to Hajek's most regular sequence; in particular, it is optimal for the case of two queues. Simulation results show improvement over Itai-Rosberg's Golden Ratio Rule and come very close to a lower bound obtained by Hajek.