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A Simple Steady-State Analysis of Load Balancing Algorithms in the Sub-Halfin-Whitt Regime
11 references·2 citing·32 second hop
A Simple Steady-State Analysis of Load Balancing Algorithms in the Sub-Halfin-Whitt Regime (2019)A Simple Steady-State Analysis of Load Ba…Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema (2019)Join-the-shortest queue diffu…Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Stein’s method for steady-sta…Stein's Method for Mean Field Approximations in Light and Heavy Traffic Regimes (2017)Stein's Method for Mean Field…Expected Values Estimated via Mean-Field Approximation are 1/N-Accurate (2017)Expected Values Estimated via…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…Tightness of Stationary Distributions of a Flexible-Server System in the Halfin-Whitt Asymptotic Regime (2015)Tightness of Stationary Distr…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 …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…A load balancing system in the many-server heavy-traffic asymptotics (2022)A load balancing system in th…On Universal Scaling of Distributed Queues under Load Balancing (2019)On Universal Scaling of Distr…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)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)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)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)Heavy Traffic Queue Length Behavior in a Switch Under the MaxWeight Algorithm (2016)The Effect of Increasing Routing Choice on Resource Pooling (1998)Chaoticity on path space for a queueing network with selection of the shortest queue among several (2000)A class of mean field interaction models for computer and communication systems (2008)Size expansions of mean field approximation: Transient and steady-state analysis (2018)Steady-state analysis of load-balancing algorithms in the sub-Halfin–Whitt regime (2020)Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime (2020)Brownian motion and stochastic calculus (1991)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)Optimal Load Balancing with Locality Constraints (2020)To Pool or Not to Pool: Queueing Design for Large-Scale Service Systems (2020)Universal Scaling of Distributed Queues Under Load Balancing in the Super-Halfin-Whitt Regime (2021)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime (2019)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)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)Improving the mean-field fluid model of processor sharing queueing networks for dynamic performance models in cloud computing (2021)
this work references cited by second hop

References

  • 2001The power of two choices in randomized load balancing1,402 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2014Pull-based load distribution in large-scale heterogeneous service systems162 cited
  • 2015Pull-based load distribution in large-scale heterogeneous service systems148 cited
  • 2001Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions127 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
  • 2017Expected Values Estimated via Mean-Field Approximation are 1/N-Accurate54 cited
  • 2019Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema34 cited
  • 2017Stein's Method for Mean Field Approximations in Light and Heavy Traffic Regimes25 cited
  • 2015Tightness of Stationary Distributions of a Flexible-Server System in the Halfin-Whitt Asymptotic Regime24 cited

Cited by

  • 2022A load balancing system in the many-server heavy-traffic asymptotics14 cited
  • 2019On Universal Scaling of Distributed Queues under Load Balancing12 cited

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