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Universal Scaling of Distributed Queues Under Load Balancing in the Super-Halfin-Whitt Regime
16 references·0 citing·32 second hop
Universal Scaling of Distributed Queues Under Load Balancing in the Super-Halfin-Whitt Regime (2021)Universal Scaling of Distributed Queues U…Universality of Power-of-d Load Balancing in Many-Server Systems (2018)Universality of Power-of-d Lo…Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)Join the Shortest Queue with …Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Stein’s method for steady-sta…Universality of Power-of-$d$ Load Balancing in Many-Server Systems (2016)Universality of Power-of-$d$ …Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models (2016)Stein’s Method for Steady-sta…Pull-based load distribution in large-scale heterogeneous service systems (2015)Pull-based load distribution …Pull-based load distribution in large-scale heterogeneous service systems (2014)Pull-based load distribution …Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Asymptotically tight steady-s…A Diffusion Regime with Nondegenerate Slowdown (2012)A Diffusion Regime with Nonde…On many-server queues in heavy traffic (2010)On many-server queues in heav…The G/GI/N queue in the Halfin–Whitt regime (2009)The G/GI/N queue in the Halfi…The power of two choices in randomized load balancing (2001)The power of two choices in r…Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions (2001)Performance of Multiclass Mar…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…On the optimal assignment of customers to parallel servers (1978)On the optimal assignment of …Optimality of the shortest line discipline (1977)Optimality of the shortest li…Asymptotic independence of queues under randomized load balancing (2012)Delay, Memory, and Messaging Tradeoffs in Distributed Service Systems (2018)Experimenting in Equilibrium (2021)Scalable Load Balancing in Networked Systems: A Survey of Recent Advances (2022)Applied Probability and Queues (1987)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Applied Probability and Queues (2003)Heavy Traffic Queue Length Behavior in a Switch Under the MaxWeight Algorithm (2016)The Power of Slightly More than One Sample in Randomized Load Balancing (2017)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)A simple dynamic routing problem (1980)Control Techniques for Complex Networks (2007)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)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Point Processes and Queues (1981)Theory of Martingales (1989)Limit Theorems for Stochastic Processes (2003)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)Queues with Many Servers and Impatient Customers (2012)Operational Research: methods and applications (2023)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Approximation algorithms for budgeted learning problems (2007)Analysis and Synthesis of Computer Systems (2010)Approximation algorithms for restless bandit problems (2010)Optimal control of two interacting service stations (1984)Deciding Which Queue to Join: Some Counterexamples (1986)Optimal control of service rates in networks of queues (1987)A Staffing Algorithm for Call Centers with Skill-Based Routing (2005)Continuous approximation of collective system behaviour: A tutorial (2013)Incentives and redistribution in homogeneous bike-sharing systems with stations of finite capacity (2014)
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References

  • 2001The power of two choices in randomized load balancing1,402 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 1977Optimality of the shortest line discipline495 cited
  • 1978On the optimal assignment of customers to parallel servers337 cited
  • 2012Asymptotically tight steady-state queue length bounds implied by drift conditions185 cited
  • 2014Pull-based load distribution in large-scale heterogeneous service systems162 cited
  • 2015Pull-based load distribution in large-scale heterogeneous service systems148 cited
  • 2009The G/GI/N queue in the Halfin–Whitt regime146 cited
  • 2001Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions127 cited
  • 2018Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics105 cited
  • 2016Universality of Power-of-$d$ Load Balancing in Many-Server Systems90 cited
  • 2018Universality of Power-of-d Load Balancing in Many-Server Systems72 cited
  • 2017Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems72 cited
  • 2016Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models71 cited
  • 2012

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A Diffusion Regime with Nondegenerate Slowdown
58 cited
  • 2010On many-server queues in heavy traffic53 cited
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