Dynamic control of Brownian networks: State space collapse and equivalent workload formulations
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Publication:1371003
DOI10.1214/aoap/1034801252zbMath0885.60080OpenAlexW3121663994MaRDI QIDQ1371003
Jan A. Van Mieghem, J. Michael Harrison
Publication date: 20 April 1998
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1034801252
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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Cites Work
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- Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling
- Scheduling networks of queues: Heavy traffic analysis of a simple open network
- Dynamic scheduling with convex delay costs: The generalized \(c\mu\) rule
- Open Queueing Networks in Heavy Traffic
- Brownian Networks with Discretionary Routing
- Dynamic Scheduling of a Four-Station Queueing Network
- Resource pooling in queueing networks with dynamic routing
- Dynamic Scheduling of a Multiclass Make-to-Stock Queue
- Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network
- Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network
- Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Network with Controllable Inputs
- Routing and Singular Control for Queueing Networks in Heavy Traffic