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Central limit theorem for a many-server queue with random service rates
10 references·3 citing·38 second hop
Central limit theorem for a many-server queue with random service rates (2008)Central limit theorem for a many-server q…The G/GI/N queue in the Halfin–Whitt regime (2009)The G/GI/N queue in the Halfi…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Staffing a Call Center with Uncertain Arrival Rate and Absenteeism (2006)Staffing a Call Center with U…Stochastic Integration and Differential Equations (2005)Stochastic Integration and Di…Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Dynamic Routing in Large-Scal…Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic (2004)Scheduling a multi class queu…The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)The multiclass GI/PH/N queue …Fluid and diffusion limits for queues in slowly changing environments (1997)Fluid and diffusion limits fo…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Routing in a queueing system with two heterogeneous servers in speed and in quality of resolution (2017)Routing in a queueing system …Threshold Routing to Trade Off Waiting and Call Resolution in Call Centers (2013)Threshold Routing to Trade Of…Efficient Routing in Heavy Traffic Under Partial Sampling of Service Times (2008)Efficient Routing in Heavy Tr…Central limit theorems for local martingales (1980)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Law of large numbers limits for many-server queues (2010)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)Theory of Martingales (1989)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Service-Level Differentiation in Call Centers with Fully Flexible Servers (2008)Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems (2010)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Markov-modulated and feedback fluid queues (1998)On Stochastic Bounds for Monotonic Processor Sharing Networks (2004)Revenue Management of a Make-to-Stock Queue (2006)Point Processes and Queues (1981)Limit Theorems for Stochastic Processes (1987)Queueing Models of Call Centers: An Introduction (2002)A Diffusion Approximation for the G/GI/n/m Queue (2004)Dimensioning Large Call Centers (2004)Multiple channel queues in heavy traffic. I (1970)Stochastic Processes in Queueing Theory (1976)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)An introduction to queueing theory (1993)Designing a Call Center with Impatient Customers (2002)Limit Theorems for Stochastic Processes (2003)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)Operational Research: methods and applications (2023)Controlled Markov Processes and Viscosity Solutions (2005)Brownian Motion and Stochastic Calculus (2007)New “Smart Parking” System Based on Resource Allocation and Reservations (2013)Robust solutions of Linear Programming problems contaminated with uncertain data (2000)Statistical Analysis of a Telephone Call Center (2005)Staffing and scheduling under nonstationary demand for service: A literature review (2015)The Janus Face of Artificial Intelligence Feedback: Deployment Versus Disclosure Effects on Employee Performance (2021)Modeling Term Structures of Defaultable Bonds (1999)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The distribution of realized stock return volatility (2001)
this work references cited by second hop

References

  • 2005Stochastic Integration and Differential Equations4,700 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
  • 2006Staffing a Call Center with Uncertain Arrival Rate and Absenteeism158 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues155 cited
  • 2009The G/GI/N queue in the Halfin–Whitt regime146 cited
  • 2004Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic140 cited
  • 2005Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers137 cited
  • 2000The multiclass GI/PH/N queue in the Halfin-Whitt regime117 cited
  • 1997Fluid and diffusion limits for queues in slowly changing environments47 cited

Cited by

  • 2013Threshold Routing to Trade Off Waiting and Call Resolution in Call Centers25 cited
  • 2008Efficient Routing in Heavy Traffic Under Partial Sampling of Service Times13 cited
  • 2017Routing in a queueing system with two heterogeneous servers in speed and in quality of resolution9 cited

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