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Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling

16 references·16 citing·26 second hopsampled

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References

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1986Deciding which queue to join: Some counterexamples189 cited
1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
1989

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Scheduling networks of queues: Heavy traffic analysis of a simple open network

176 cited

Cited by

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2002Analysis, Design, and Control of Queueing Systems128 cited
2004Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime125 cited
2000Discrete-review policies for scheduling stochastic networks: trajectory tracking and fluid-scale asymptotic optimality117 cited
2005Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy103 cited
1995Fluid Models of Sequencing Problems in Open Queueing Networks; an Optimal Control Approach90 cited
2005Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies88 cited
2003Two Workload Properties for Brownian Networks86 cited
2001Sequencing and Routing in Multiclass Queueing Networks Part I: Feedback Regulation86 cited
1999Convex duality and the Skorokhod Problem. I85 cited
1998An invariance principle for semimartingale reflecting Brownian motions in an orthant84 cited
2002Stochastic networks and activity analysis72 cited
2009Stability and Asymptotic Optimality of Generalized MaxWeight Policies70 cited
1998The Effect of Increasing Routing Choice on Resource Pooling70 cited