Control of systems with flexible multi-server pools: a shadow routing approach
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Publication:993482
DOI10.1007/s11134-010-9183-0zbMath1205.60162OpenAlexW2135726648MaRDI QIDQ993482
Alexander L. Stolyar, Tolga Tezcan
Publication date: 20 September 2010
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11134-010-9183-0
queueing networksHalfin-Whitt regimediffusion limitorder optimalityrouting and schedulinglarge flexible server poolsmany server asymptoticsshadow routing
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
- Unnamed Item
- Law of large numbers limits for many-server queues
- Dynamic routing and admission control in high-volume service systems: Asymptotic analysis via multi-scale fluid limits
- Dynamic routing in large-scale service systems with heterogeneous servers
- Optimal control of parallel server systems with many servers in heavy traffic
- Queueing systems with many servers: null controllability in heavy traffic
- The \(G/GI/N\) queue in the Halfin-Whitt regime
- Strong approximation for Markovian service networks
- MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic
- A diffusion model of scheduling control in queueing systems with many servers
- Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy
- Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic.
- Heavy traffic resource pooling in parallel-server systems
- Scheduling control for queueing systems with many servers: asymptotic optimality in heavy traffic
- Maximizing queueing network utility subject to stability: greedy primal-dual algorithm
- State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems
- On a Data-Driven Method for Staffing Large Call Centers
- Dynamic Control of N-Systems with Many Servers: Asymptotic Optimality of a Static Priority Policy in Heavy Traffic
- Service-Level Differentiation in Many-Server Service Systems via Queue-Ratio Routing
- Service-Level Differentiation in Call Centers with Fully Flexible Servers
- Responding to Unexpected Overloads in Large-Scale Service Systems
- Design and Control of a Large Call Center: Asymptotic Analysis of an LP-Based Method
- Steady-state analysis of a multiserver queue in the Halfin-Whitt regime
- Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime
- On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design
- Heavy-Traffic Limits for Queues with Many Exponential Servers
- The multiclass GI/PH/N queue in the Halfin-Whitt regime
- OPTIMAL ROUTING IN OUTPUT-QUEUED FLEXIBLE SERVER SYSTEMS
- Contact Centers with a Call-Back Option and Real-Time Delay Information
- Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule
- A Diffusion Approximation for the G/GI/n/m Queue
- Heavy-Traffic Limits for the G/H2*/n/mQueue
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