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On the Convergence of Multiclass Queueing Networks in Heavy Traffic
16 references·6 citing·22 second hop
On the Convergence of Multiclass Queueing Networks in Heavy Traffic (1994)On the Convergence of Multiclass Queueing…Nonexistence 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…Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis (1992)Reflected Brownian Motion in …Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Netw…Departures from Many Queues in Series (1991)Departures from Many Queues i…A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types (1991)A Heavy Traffic Limit Theorem…The QNET method for two-moment analysis of open queueing networks (1990)The QNET method for two-momen…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian models of open queue…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Reflected Brownian Motion on an Orthant (1981)Reflected Brownian Motion on …Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open, Closed, and Mixed Netwo…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…Networks of Waiting Lines (1957)Networks of Waiting LinesStability of queueing networks and scheduling policies (2002)Stability of queueing network…Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks (2001)Existence Condition for the D…Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines (2000)Diffusion Approximations for …A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines (2000)A sufficient condition and a …Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline (1996)Diffusion approximations for …Scheduling Queueing Networks: Stability, Performance Analysis and Design (1995)Scheduling Queueing Networks:…The single server queue in heavy traffic (1961)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)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)Introduction to Queueing Networks (1987)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Closed Queuing Systems with Exponential Servers (1967)The Operational Analysis of Queueing Network Models (1978)Planning Queueing Simulations (1989)Fluctuations of Lévy Processes with Applications (2014)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)Blocking in a Shared Resource Environment (1981)An introduction to queueing theory (1993)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)
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References

  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1957Networks of Waiting Lines1,215 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
  • 1987Brownian models of open queueing networks with homogeneous customer populations ∗312 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1992Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis167 cited
  • 1991Departures from Many Queues in Series163 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 networks

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109 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • Cited by

    • 2002Stability of queueing networks and scheduling policies25 cited
    • 2000A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines22 cited
    • 1996Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline22 cited
    • 2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines21 cited
    • 2001Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks17 cited
    • 1995Scheduling Queueing Networks: Stability, Performance Analysis and Design17 cited