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

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References

1987Brownian Motion and Stochastic Flow Systems.1,091 cited
1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
1990Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network199 cited

Cited by

1994Optimization of Multiclass Queueing Networks: Polyhedral and Nonlinear Characterizations of Achievable Performance174 cited
1993Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling170 cited
1997Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations148 cited
2002Analysis, Design, and Control of Queueing Systems128 cited
2000Discrete-review policies for scheduling stochastic networks: trajectory tracking and fluid-scale asymptotic optimality117 cited
1992Resource pooling in queueing networks with dynamic routing110 cited
2001Queueing network models in the design and analysis of semiconductor wafer fabs108 cited
2005Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy103 cited
2008Asymptotic optimality of maximum pressure policies in stochastic processing networks95 cited
1991Brownian Networks with Discretionary Routing92 cited
1995

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Fluid Models of Sequencing Problems in Open Queueing Networks; an Optimal Control Approach

90 cited

1992A review of open queueing network models of manufacturing systems89 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

1998An invariance principle for semimartingale reflecting Brownian motions in an orthant84 cited