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Tightness of stationary distributions of a flexible-server system in the Halfin-Whitt asymptotic regime
14 references·1 citing·32 second hop
Tightness of stationary distributions of a flexible-server system in the Halfin-Whitt asymptotic regime (2015)Tightness of stationary distributions of …Validity of heavy-traffic steady-state approximations in many-server queues with abandonment (2014)Validity of heavy-traffic ste…Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines (2013)Validity of Heavy-Traffic Ste…Systems with large flexible server pools: Instability of “natural” load balancing (2013)Systems with large flexible s…Steady-state $GI/G/n$ queue in the Halfin–Whitt regime (2013)Steady-state $GI/G/n$ queue i…Positive recurrence of piecewise Ornstein–Uhlenbeck processes and common quadratic Lyapunov functions (2013)Positive recurrence of piecew…Tightness of invariant distributions of a large-scale flexible service system under a priority discipline (2012)Tightness of invariant distri…Multiclass multiserver queueing system in the Halfin–Whitt heavy traffic regime: asymptotics of the stationary distribution (2012)Multiclass multiserver queuei…Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic (2009)Stationary Distribution Conve…Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Queue-and-Idleness-Ratio Cont…The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)The Modern Call Center: A Mul…Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Validity of heavy traffic ste…Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Telephone Call Centers: Tutor…Lyapunov method for the stability of fluid networks (2001)Lyapunov method for the stabi…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Ergodic diffusion control of multiclass multi-pool networks in the Halfin–Whitt regime (2016)Ergodic diffusion control of …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)Open Queueing Networks in Heavy Traffic (1984)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Fundamentals of Queueing Networks (2001)Diffusion models and steady-state approximations for exponentially ergodic markovian queues (2013)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Statistical Analysis of a Telephone Call Center (2005)Many-server queues with customer abandonment: A survey of diffusion and fluid approximations (2012)Ergodicity of a Lévy-driven SDE arising from multiclass many-server queues (2019)Applied Probability and Queues (1987)Brownian Motion and Stochastic Calculus (2007)Service-Level Differentiation in Many-Server Service Systems via Queue-Ratio Routing (2009)Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems (2010)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Poisson Arrivals See Time Averages (1982)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Forecasting: theory and practice (2022)The measurement of experienced burnout (1981)Generating Sales While Providing Service: A Study of Customer Service Representatives' Ambidextrous Behavior (2011)Personnel scheduling: A literature review (2012)Stochastic-process limits : an introduction to stochastic-process limits and their application to queues (2002)Tightness of Stationary Distributions of a Flexible-Server System in the Halfin-Whitt Asymptotic Regime (2015)Heavy Traffic Approximation for the Stationary Distribution of a Generalized Jackson Network: The BAR Approach (2017)Networks of Waiting Lines (1957)Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models (2016)Multiple channel queues in heavy traffic. I (1970)Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment (2018)Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema (2019)Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime (2020)
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References

  • 2003Telephone Call Centers: Tutorial, Review, and Research Prospects1,360 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2007The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research747 cited
  • 2009Queue-and-Idleness-Ratio Controls in Many-Server Service Systems148 cited
  • 2006Validity of heavy traffic steady-state approximations in generalized Jackson networks146 cited
  • 2009Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic87 cited
  • 2012Multiclass multiserver queueing system in the Halfin–Whitt heavy traffic regime: asymptotics of the stationary distribution54 cited
  • 2013Steady-state $GI/G/n$ queue in the Halfin–Whitt regime44 cited
  • 2013Positive recurrence of piecewise Ornstein–Uhlenbeck processes and common quadratic Lyapunov functions39 cited
  • 2013Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines38 cited
  • 2014Validity of heavy-traffic steady-state approximations in many-server queues with abandonment34 cited
  • 2013Systems with large flexible server pools: Instability of “natural” load balancing24 cited
  • 2012Tightness of invariant distributions of a large-scale flexible service system under a priority discipline17 cited
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Lyapunov method for the stability of fluid networks
15 cited

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  • 2016Ergodic diffusion control of multiclass multi-pool networks in the Halfin–Whitt regime11 cited