Ergodic control of resource sharing networks: lower bound on asymptotic costs
DOI10.1007/s11134-024-09916-zMaRDI QIDQ6669138
Michael Conroy, Amarjit Budhiraja, Dane Johnson
Publication date: 22 January 2025
Published in: Queueing Systems (Search for Journal in Brave)
heavy trafficergodic controlreflected Brownian motionqueuing networksbandwidth sharingBrownian control problemsresource sharing networkshierarchical greedy ideal
Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)
Cites Work
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- Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: asymptotic optimality of a threshold policy
- State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy
- Diffusion approximations for controlled stochastic networks: an asymptotic bound for the value function
- Dynamic control of Brownian networks: State space collapse and equivalent workload formulations
- Brownian models of open processing networks: Canonical representation of workload.
- Heavy traffic analysis of open processing networks with complete resource pooling: asymptotic optimality of discrete review policies
- Bandwidth sharing and admission control for elastic traffic
- Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy
- Resource sharing networks and Brownian control problems
- Long time asymptotics for constrained diffusions in polyhedral domains
- Asymptotic optimality of maximum pressure policies in stochastic processing networks
- A large deviations approach to asymptotically optimal control of crisscross network in heavy traffic
- Ergodic Rate Control Problem for Single Class Queueing Networks
- Control Policies Approaching Hierarchical Greedy Ideal Performance in Heavy Traffic for Resource Sharing Networks
- Brownian models of open queueing networks with homogeneous customer populations∗
- Heavy Traffic Convergence of a Controlled, Multiclass Queueing System
- On the Continuity of the Optimal Policy Set for Linear Programs
- Resource sharing networks: Overview and an open problem
- An asymptotic optimality result for the multiclass queue with finite buffers in heavy traffic
- Analysis and Approximation of Rare Events
- Simple form control policies for resource sharing networks with HGI performance
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