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Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse
8 references·16 citing·25 second hop
Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for open multicl…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Instability of FIFO Queueing Networks (1994)Instability of FIFO Queueing …Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Reflected Brownian Motion on an Orthant (1981)Reflected Brownian Motion on …Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse (2012)Switched networks with maximu…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 NetworksAsymptotic optimality of maximum pressure policies in stochastic processing networks (2008)Asymptotic optimality of maxi…Maximum Pressure Policies in Stochastic Processing Networks (2005)Maximum Pressure Policies in …Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies (2005)Heavy traffic analysis of ope…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…Pathwise optimality of the exponential scheduling rule for wireless channels (2004)Pathwise optimality of the ex…Diffusion approximation for a processor sharing queue in heavy traffic (2004)Diffusion approximation for a…Two Workload Properties for Brownian Networks (2003)Two Workload Properties for B…The fluid limit of a heavily loaded processor sharing queue (2002)The fluid limit of a heavily …Analysis, Design, and Control of Queueing Systems (2002)Analysis, Design, and Control…Stability of two families of queueing networks and a discussion of fluid limits (1998)Stability of two families of …An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)An invariance principle for s…The single server queue in heavy traffic (1961)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)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)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)A Skill Based Parallel Service System Under FCFS-ALIS — Steady State, Overloads, and Abandonments (2014)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Brownian Motion and Stochastic Flow Systems. (1987)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)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)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Stability and Instability of Fluid Models for Reentrant Lines (1996)
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References

  • 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
  • 1981Reflected Brownian Motion on an Orthant390 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1994Instability of FIFO Queueing Networks263 cited

Cited by

  • 2005Maximum Pressure Policies in Stochastic Processing Networks258 cited
  • 2012Asymptotically tight steady-state queue length bounds implied by drift conditions185 cited
  • 2008Stability of Queueing Networks149 cited
  • 2009Queue-and-Idleness-Ratio Controls in Many-Server Service Systems148 cited
  • 2008Stability of queueing networks139 cited
  • 2012Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse136 cited
  • 2002Analysis, Design, and Control of Queueing Systems

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128 cited
  • 2004Pathwise optimality of the exponential scheduling rule for wireless channels111 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
  • 2008Asymptotic optimality of maximum pressure policies in stochastic processing networks95 cited
  • 1998Stability of two families of queueing networks and a discussion of fluid limits89 cited
  • 2005Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies88 cited
  • 2003Two Workload Properties for Brownian Networks86 cited
  • 1998An invariance principle for semimartingale reflecting Brownian motions in an orthant84 cited
  • 2004Diffusion approximation for a processor sharing queue in heavy traffic83 cited