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Stability of Multiclass Queueing Networks Under FIFO Service Discipline
11 references·13 citing·33 second hop
Stability of Multiclass Queueing Networks Under FIFO Service Discipline (1997)Stability of Multiclass Queueing Networks…Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Stability and Instability of Fluid Models for Reentrant Lines (1996)Stability and Instability of …Convergence to equilibria for fluid models of FIFO queueing networks (1996)Convergence to equilibria for…Stability of queueing networks and scheduling policies (1995)Stability of queueing network…On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Fluid Approximations and Stab…Instability of FIFO Queueing Networks (1994)Instability of FIFO Queueing …Nonexistence of Brownian models for certain multiclass queueing networks (1993)Nonexistence of Brownian mode…Brownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Processing Networks (2020)Processing NetworksStability analysis of N-model systems under a static priority rule (2012)Stability analysis of N-model…A Simple proof for the stability of global FIFO queueing networks (2009)A Simple proof for the stabil…Instability in stochastic and fluid queueing networks (2005)Instability in stochastic and…Stability and instability of a two-station queueing network (2004)Stability and instability of …Stability of adversarial queues via fluid models (2002)Stability of adversarial queu…Lyapunov method for the stability of fluid networks (2001)Lyapunov method for the stabi…Using fluid models to prove stability of adversarial queueing networks (2000)Using fluid models to prove s…Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines (2000)Diffusion Approximations for …A heavy traffic limit theorem for a class of open queueing networks with finite buffers (1999)A heavy traffic limit theorem…Fluid approximations for a processor-sharing queue (1997)Fluid approximations for a pr…Global Stability of Two-Station Queueing Networks (1996)Global Stability of Two-Stati…Dobrushin′s approach to queueing network theory (1996)Dobrushin′s approach to queue…Networks of Waiting Lines (1957)The Queueing Network Analyzer (1983)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)Queueing systems, volume II: computer applications (1977)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open Queueing Networks in Heavy Traffic (1984)Stability of a three‐station fluid network (1999)The fluid limit of a heavily loaded processor sharing queue (2002)Dynamic Server Allocation for Queueing Networks with Flexible Servers (2003)A fluid limit model criterion for instability of multiclass queueing networks (1996)Jobshop-Like Queueing Systems (2004)Stability of Queueing Networks (2008)Stability of queueing networks (2008)Jobshop-Like Queueing Systems (1963)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts (1998)Modeling and Forecasting Realized Volatility (2003)Controlled Markov Processes and Viscosity Solutions (2005)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)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Maximum Pressure Policies in Stochastic Processing Networks (2005)Time-changed Lévy processes and option pricing (2003)Selection, Growth, and the Size Distribution of Firms (2007)A Continuous-Time Version of the Principal–Agent Problem (2008)A Continuum Model for a Re-entrant Factory (2006)Time Allocation and Task Juggling (2014)
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References

  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1995Stability of queueing networks and scheduling policies277 cited
  • 1994Instability of FIFO Queueing Networks263 cited
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 1996Stability and Instability of Fluid Models for Reentrant Lines226 cited
  • 1995Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines214 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1996Convergence to equilibria for fluid models of FIFO queueing networks133 cited
  • 1993Nonexistence of Brownian models for certain multiclass queueing networks119 cited

Cited by

  • 2005Instability in stochastic and fluid queueing networks74 cited
  • 2004Stability and instability of a two-station queueing network67 cited
  • 1999A heavy traffic limit theorem for a class of open queueing networks with finite buffers52 cited
  • 2000

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Using fluid models to prove stability of adversarial queueing networks
46 cited
  • 2002Stability of adversarial queues via fluid models35 cited
  • 2009A Simple proof for the stability of global FIFO queueing networks34 cited
  • 1996Global Stability of Two-Station Queueing Networks29 cited
  • 2020Processing Networks22 cited
  • 2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines21 cited
  • 1997Fluid approximations for a processor-sharing queue19 cited
  • 1996Dobrushin′s approach to queueing network theory19 cited
  • 2012Stability analysis of N-model systems under a static priority rule15 cited
  • 2001Lyapunov method for the stability of fluid networks15 cited