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Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture
11 references·6 citing·40 second hop
Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture (1995)Balanced Fluid Models of Multiclass Queue…Some diffusion approximations with state space collapse (2006)Some diffusion approximations…Stability of Open Multiclass Queueing Networks via Fluid Models (1995)Stability of Open Multiclass …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 …Re-entrant lines (1993)Re-entrant linesNonexistence of Brownian models for certain multiclass queueing networks (1993)Nonexistence of Brownian mode…Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant (1993)Existence and uniqueness of s…Brownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Netw…Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…The QNET method for two-moment analysis of open queueing networks (1990)The QNET method for two-momen…Optimal queue-size scaling in switched networks (2014)Optimal queue-size scaling in…Optimal queue-size scaling in switched networks (2012)Optimal queue-size scaling in…State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic (2010)State-space collapse in stati…A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic (2006)A reflected fBm limit for flu…Lyapunov method for the stability of fluid networks (2001)Lyapunov method for the stabi…Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines (2000)Diffusion Approximations for …Networks of Waiting Lines (1957)The Queueing Network Analyzer (1983)Brownian Motion and Stochastic Flow Systems. (1987)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Queueing theory in manufacturing: A survey (1999)Queueing Theory for Semiconductor Manufacturing Systems: A Survey and Open Problems (2007)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Towards better multi-class parametric-decomposition approximations for open queueing networks (1994)Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996)Service system structure (2000)Queueing systems, volume II: computer applications (1977)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)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Continuous Martingales and Brownian Motion (1991)Continuous Martingales and Brownian Motion (1999)Analysis, Design, and Control of Queueing Systems (2002)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)Dynamic Scheduling of a Multiclass Make-to-Stock Queue (1992)On Pooling in Queueing Networks (1998)Planning and Control Systems: A Framework for Analysis (1965)Extreme Values, Regular Variation and Point Processes (1987)Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs (1989)Strong Approximations for Time-Dependent Queues (1995)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Optimal control of production rate in a failure prone manufacturing system (1986)Performance Analysis of Manufacturing Systems (1997)Throughput analysis of production systems: recent advances and future topics (2008)Reflected Brownian Motion on an Orthant (1981)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Stability of Multiclass Queueing Networks Under FIFO Service Discipline (1997)An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)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)Stability and Instability of Fluid Models for Reentrant Lines (1996)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Maximum Pressure Policies in Stochastic Processing Networks (2005)
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References

  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1993Re-entrant lines366 cited
  • 1994Instability of FIFO Queueing Networks263 cited
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 2006Some diffusion approximations with state space collapse175 cited
  • 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks152 cited
  • 1993Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant130 cited
  • 1993Nonexistence of Brownian models for certain multiclass queueing networks119 cited
  • 1990The QNET method for two-moment analysis of open queueing networks109 cited
  • 1995Stability of Open Multiclass Queueing Networks via Fluid Models44 cited

Cited by

  • 2014Optimal queue-size scaling in switched networks34 cited
  • 2006A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic34 cited
  • 2010State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic25 cited

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2000
Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines
21 cited
  • 2012Optimal queue-size scaling in switched networks17 cited
  • 2001Lyapunov method for the stability of fluid networks15 cited