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Heavy traffic limit for a processor sharing queue with soft deadlines
16 references·0 citing·28 second hop
Heavy traffic limit for a processor sharing queue with soft deadlines (2007)Heavy traffic limit for a processor shari…The Fluid Limit of an Overloaded Processor Sharing Queue (2006)The Fluid Limit of an Overloa…Invariant states and rates of convergence for a critical fluid model of a processor sharing queue (2004)Invariant states and rates of…Earliest-deadline-first service in heavy-traffic acyclic networks (2004)Earliest-deadline-first servi…Diffusion approximation for a processor sharing queue in heavy traffic (2004)Diffusion approximation for a…Multiple-input heavy-traffic real-time queues (2003)Multiple-input heavy-traffic …The fluid limit of a heavily loaded processor sharing queue (2002)The fluid limit of a heavily …Real-time queueing theory (2002)Real-time queueing theoryStability of Earliest-Due-Date, First-Served Queueing Networks (2001)Stability of Earliest-Due-Dat…Real-time queues in heavy traffic with earliest-deadline-first queue discipline (2001)Real-time queues in heavy tra…Heavy Traffic Limits for Some Queueing Networks (2001)Heavy Traffic Limits for Some…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …GI/G/1 processor sharing queue in heavy traffic (1994)GI/G/1 processor sharing queu…Processor-sharing queues: Some progress in analysis (1987)Processor-sharing queues: Som…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…The single server queue in heavy traffic (1961)Brownian Motion and Stochastic Flow Systems. (1987)A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging (2005)SCHEDULING IMPATIENT JOBS IN A CLEARING SYSTEM WITH INSIGHTS ON PATIENT TRIAGE IN MASS CASUALTY INCIDENTS (2008)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Fluid Limits for Shortest Remaining Processing Time Queues (2009)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)The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)An introduction to queueing theory (1993)Sojourn time asymptotics in the M/G/1 processor sharing queue (2000)A survey on discriminatory processor sharing (2006)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Stability of Queueing Networks (2008)State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems (2011)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Real-time queueing network theory (2002)Approximating the GI/GI/1+GI Queue with a Nonlinear Drift Diffusion: Hazard Rate Scaling in Heavy Traffic (2008)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)Maximum Pressure Policies in Stochastic Processing Networks (2005)Steady state approximations of limited processor sharing queues in heavy traffic (2008)Heavy traffic analysis for EDF queues with reneging (2011)Heavy traffic analysis for EDF queues with reneging (2018)Stability of Queueing Networks (2008)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)
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References

  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 cited
  • 2002Real-time queueing theory199 cited
  • 1987Processor-sharing queues: Some progress in analysis189 cited
  • 2001Real-time queues in heavy traffic with earliest-deadline-first queue discipline146 cited
  • 2002The fluid limit of a heavily loaded processor sharing queue108 cited
  • 2004Diffusion approximation for a processor sharing queue in heavy traffic83 cited
  • 2001Heavy Traffic Limits for Some Queueing Networks71 cited
  • 2001Stability of Earliest-Due-Date, First-Served Queueing Networks65 cited
  • 2004Earliest-deadline-first service in heavy-traffic acyclic networks47 cited
  • 2006The Fluid Limit of an Overloaded Processor Sharing Queue25 cited
  • 1994GI/G/1 processor sharing queue in heavy traffic21 cited
  • 2003Multiple-input heavy-traffic real-time queues20 cited

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  • 2004Invariant states and rates of convergence for a critical fluid model of a processor sharing queue17 cited
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