Optimal admission control for many-server systems with QED-driven revenues

DOI10.1287/stsy.2017.0004zbMath1390.90255arXiv1411.2808OpenAlexW1860570948MaRDI QIDQ1704953

Jaron Sanders, Augustus J. E. M. Janssen, Johan S. H. van Leeuwaarden, Sem C. Borst

Publication date: 14 March 2018

Published in: Stochastic Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2808

zbMATH Keywords

queueingoptimal controlvariational calculusasymptotic analysisthreshold controlquality-and-efficiency-driven (QED) regime

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Stochastic systems in control theory (general) (93E03) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Optimality gaps in asymptotic dimensioning of many-server systems ⋮ Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime

Uses Software

• DLMF

Cites Work

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• Abandonment versus blocking in many-server queues: asymptotic optimality in the QED regime
• Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic
• Admission control and pricing in a queue with batch arrivals
• Optimal buffer size for a stochastic processing network in heavy traffic
• Queueing systems with many servers: null controllability in heavy traffic
• Effects of system parameters on the optimal policy structure in a class of queueing control problems
• A diffusion model of scheduling control in queueing systems with many servers
• On the Lambert \(w\) function
• Scheduling control for queueing systems with many servers: asymptotic optimality in heavy traffic
• A Brownian control problem for a simple queueing system in the halfin--whitt regime
• Queue-and-Idleness-Ratio Controls in Many-Server Service Systems
• OPTIMAL ADMISSION CONTROL IN QUEUES WITH WORKLOAD-DEPENDENT SERVICE RATES
• On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design
• Optimal control of admission to a quenching system
• Heavy-Traffic Limits for Queues with Many Exponential Servers
• Applying a New Device in the Optimization of Exponential Queuing Systems
• Some Properties of the Erlang Loss Function
• Loss Systems with Slow Retrials in the Halfin–Whitt Regime
• A Diffusion Approximation for the G/GI/n/m Queue
• Pricing and Design of Differentiated Services: Approximate Analysis and Structural Insights
• Asymptotically Optimal Admission Control of a Queue with Impatient Customers
• Mathematik für Informatiker
• THE OPTIMAL ADMISSION THRESHOLD IN OBSERVABLE QUEUES WITH STATE DEPENDENT PRICING
• Control Techniques for Complex Networks
• The Regulation of Queue Size by Levying Tolls
• Heavy-Traffic Limits for the G/H₂*/n/mQueue
• Admission control for a multi-server queue with abandonment

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