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Large Deviations of Max-Weight Scheduling Policies on Convex Rate Regions
13 references·1 citing·39 second hop
Large Deviations of Max-Weight Scheduling Policies on Convex Rate Regions (2010)Large Deviations of Max-Weight Scheduling…A Large Deviation Principle for Join the Shortest Queue (2007)A Large Deviation Principle f…SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)SCHEDULING IN A QUEUING SYSTE…Queueing systems with leadtime constraints: A fluid-model approach for admission and sequencing control (2004)Queueing systems with leadtim…Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (2004)Fundamentals of Queueing Netw…Control of end-to-end delay tails in a multiclass network: LWDF discipline optimality (2003)Control of end-to-end delay t…Stochastic-process limits : an introduction to stochastic-process limits and their application to queues (2002)Stochastic-process limits : a…Largest Weighted Delay First Scheduling: Large Deviations and Optimality (2001)Largest Weighted Delay First …Fundamentals of Queueing Networks (2001)Fundamentals of Queueing Netw…Achieving 100% throughput in an input-queued switch (1999)Achieving 100% throughput in …Problàme de Skorohod multivoque (1998)Problàme de Skorohod multivoq…Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)Asymptotic buffer overflow pr…Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Large deviations, the shape o…Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Stability properties of const…Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations (2017)Delay Analysis of the Max-Wei…Input Versus Output Queueing on a Space-Division Packet Switch (1987)Bounds on average delays and queue size averages and variances in input-queued cell-based switches (2002)Queueing Dynamics and Maximal Throughput Scheduling in Switched Processing Systems (2003)Maximum Pressure Policies in Stochastic Processing Networks (2005)Stochastic differential equations with reflecting boundary condition in convex regions (1979)Stochastic differential equations with reflecting boundary conditions (1984)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Weak and strong approximations of reflected diffusions via penalization methods (2012)Multi-valued stochastic differential equations driven byG-Brownian motion and related stochastic control problems (2016)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Effective bandwidths at multi-class queues (1991)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)A Stackelberg Network Game with a Large Number of Followers (2002)Applied Probability and Queues (1987)Achieving 100% throughput in an input-queued switch (2002)Control Techniques for Complex Networks (2007)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule (2004)Sufficient conditions for stability of longest-queue-first scheduling: second-order properties using fluid limits (2006)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Large deviations analysis of the generalized processor sharing policy (1999)Probabilistic Service Level Guarantees in Make-to-Stock Manufacturing Systems (2001)Effective bandwidths of departure processes from queues with time varying capacities (2002)Large Deviations of Queues Sharing a Randomly Time-Varying Server (2008)The stability of a queue with non-independent inter-arrival and service times (1962)Tails in scheduling (2007)Is Tail-Optimal Scheduling Possible? (2012)Waiting time distributions in the accumulating priority queue (2013)Fundamentals of Queueing Theory. (1986)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)A survey of retrial queueing systems (2015)Pricing in Ride-Share Platforms: A Queueing-Theoretic Approach (2015)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)
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References

  • 1992Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks2,838 cited
  • 1999Achieving 100% throughput in an input-queued switch838 cited
  • 2001Fundamentals of Queueing Networks530 cited
  • 2002Stochastic-process limits : an introduction to stochastic-process limits and their application to queues468 cited
  • 2004SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES321 cited
  • 2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization291 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 2001Largest Weighted Delay First Scheduling: Large Deviations and Optimality198 cited
  • 1998Problàme de Skorohod multivoque123 cited
  • 1998Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach70 cited
  • 2003Control of end-to-end delay tails in a multiclass network: LWDF discipline optimality33 cited
  • 2004Queueing systems with leadtime constraints: A fluid-model approach for admission and sequencing control26 cited
  • 2007A Large Deviation Principle for Join the Shortest Queue19 cited

Cited by

  • 2017Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations

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13 cited