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State space collapse with application to heavy traffic limits for multiclass queueing networks
6 references·16 citing·29 second hop
State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with application to …On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Piecewise-Deterministic Marko…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open, Closed, and Mixed Netwo…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…Operational Research: methods and applications (2023)Operational Research: methods…Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Control of Patient Flow in Em…Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse (2012)Switched networks with maximu…On the Power of (Even a Little) Resource Pooling (2012)On the Power of (Even a Littl…Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Asymptotically tight steady-s…Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Queue-and-Idleness-Ratio Cont…Stability of queueing networks (2008)Stability of queueing networksStability of Queueing Networks (2008)Stability of Queueing NetworksMaximum Pressure Policies in Stochastic Processing Networks (2005)Maximum Pressure Policies in …Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy (2005)Dynamic Scheduling of a Paral…Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Dynamic Routing in Large-Scal…Pathwise optimality of the exponential scheduling rule for wireless channels (2004)Pathwise optimality of the ex…On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)On Customer Contact Centers w…Contact Centers with a Call-Back Option and Real-Time Delay Information (2004)Contact Centers with a Call-B…The fluid limit of a heavily loaded processor sharing queue (2002)The fluid limit of a heavily …Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …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)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)The Power of Slightly More than One Sample in Randomized Load Balancing (2017)Networks of Waiting Lines (1957)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Discrete Choice Theory of Product Differentiation (1992)Revenue Management Under a General Discrete Choice Model of Consumer Behavior (2004)The Impact of Delay Announcements in Many-Server Queues with Abandonment (2008)Real Options in Operations Research: A Review (2017)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Asymptotic optimality of maximum pressure policies in stochastic processing networks (2008)A Skill Based Parallel Service System Under FCFS-ALIS — Steady State, Overloads, and Abandonments (2014)Brownian Motion and Stochastic Flow Systems. (1987)Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy (2001)The single server queue in heavy traffic (1961)Point Processes and Queues: Martingale Dynamics. (1983)Optimal Control with State-Space Constraint. II (1986)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Pricing of catastrophe reinsurance and derivatives using the Cox process with shot noise intensity (2003)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Control Techniques for Complex Networks (2007)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)Blocking in a Shared Resource Environment (1981)An introduction to queueing theory (1993)
this work references cited by second hop

References

  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models1,123 cited
  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited

Cited by

  • 1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 cited
  • 2005Maximum Pressure Policies in Stochastic Processing Networks258 cited
  • 2004On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design190 cited
  • 2012Asymptotically tight steady-state queue length bounds implied by drift conditions185 cited
  • 2004Contact Centers with a Call-Back Option and Real-Time Delay Information169 cited
  • 2008Stability of Queueing Networks149 cited
  • 2009Queue-and-Idleness-Ratio Controls in Many-Server Service Systems148 cited
  • 2008Stability of queueing networks139 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2005Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers137 cited
  • 2012Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse136 cited
  • 2015Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback125 cited
  • 2023Operational Research: methods and applications124 cited
  • 2004Pathwise optimality of the exponential scheduling rule for wireless channels111 cited
  • 2012On the Power of (Even a Little) Resource Pooling110 cited
  • 2002The fluid limit of a heavily loaded processor sharing queue108 cited
  • 2005Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy103 cited