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Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic

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References

1984Open Queueing Networks in Heavy Traffic449 cited
1970Multiple channel queues in heavy traffic. I438 cited
1981Reflected Brownian Motion on an Orthant390 cited
1977Probability Methods for Approximations in Stochastic Control and for Elliptic Equations343 cited
1983Impulse Control of Brownian Motion234 cited
1971Multiple channel queues in heavy traffic125 cited
1978The diffusion approximation for tandem queues in heavy traffic122 cited
1978State of the Art—Networks of Queues: A Survey of Weak Convergence Results67 cited

Cited by

1991Numerical Methods for Stochastic Singular Control Problems64 cited
2006Diffusion approximations for controlled stochastic networks: An asymptotic bound for the value function51 cited
1992Diffusion approximation forGI/G/1 controlled queues39 cited
2006Diffusion approximations for controlled stochastic networks: An asymptotic bound for the value function32 cited
1996Heavy Traffic Analysis of a Controlled Multiclass Queueing Network via Weak Convergence Methods28 cited
1993Limit theorems for pathwise average cost per unit time problems for controlled queues in heavy traffic26 cited
2003

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In Search of Sensitivity in Network Optimization

26 cited

1995Control of Trunk Line Systems in Heavy Traffic22 cited

2002Control of Polling in Presence of Vacations in Heavy Traffic with Applications to Satellite and Mobile Radio Systems21 cited

1997Asymptotically Optimal Routing and Servive Rate Allocation in a Multiserver Queueing System19 cited

2000Optimal control of assignment of jobs to processors under heavy traffic19 cited

1994Double Band Policy for Stochastic Manufacturing Systems in Heavy Traffic19 cited

1993Heavy Traffic Analysis of a Data Transmission System with Many Independent Sources19 cited