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Stability and convergence of moments for multiclass queueing networks via fluid limit models
5 references·16 citing·38 second hop
Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Stability and convergence of moments for …On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Re-entrant lines (1993)Re-entrant linesMarkov Models & Optimization (1993)Markov Models & OptimizationBrownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Analysis of polling systems (1985)Analysis of polling systemsOperational Research: methods and applications (2023)Operational Research: methods…Stochastic Gradient Estimation (2014)Stochastic Gradient EstimationStationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic (2009)Stationary Distribution Conve…Stability of queueing networks (2008)Stability of queueing networksStability of Queueing Networks (2008)Stability of Queueing NetworksValidity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Validity of heavy traffic ste…Maximum Pressure Policies in Stochastic Processing Networks (2005)Maximum Pressure Policies in …Dynamic Server Allocation for Queueing Networks with Flexible Servers (2003)Dynamic Server Allocation for…Adversarial queuing theory (2001)Adversarial queuing theoryThe Stability of Two-Station Multitype Fluid Networks (2000)The Stability of Two-Station …Stability of Multiclass Queueing Networks Under Priority Service Disciplines (2000)Stability of Multiclass Queue…Discrete-review policies for scheduling stochastic networks: trajectory tracking and fluid-scale asymptotic optimality (2000)Discrete-review policies for …Stability of a three‐station fluid network (1999)Stability of a three‐station …Stability of two families of queueing networks and a discussion of fluid limits (1998)Stability of two families of …Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks (1996)Convergence to equilibria for…Convergence to equilibria for fluid models of FIFO queueing networks (1996)Convergence to equilibria for…Open Queueing Networks in Heavy Traffic (1984)Fundamentals of Queueing Networks (2001)Diffusion models and steady-state approximations for exponentially ergodic markovian queues (2013)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Optimal control of production rate in a failure prone manufacturing system (1986)Stability of queueing networks and scheduling policies (1995)Performance Analysis of Manufacturing Systems (1997)Throughput analysis of production systems: recent advances and future topics (2008)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Asymptotic optimality of maximum pressure policies in stochastic processing networks (2008)Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse (2012)A Skill Based Parallel Service System Under FCFS-ALIS — Steady State, Overloads, and Abandonments (2014)Networks of Waiting Lines (1957)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Motion and Stochastic Flow Systems. (1987)Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy (2001)Theory, Volume 1, Queueing Systems (1975)Hitting-time and occupation-time bounds implied by drift analysis with applications (1982)Performance Analysis of Queueing Networks via Robust Optimization (2011)Robust Queueing Theory (2015)Proportional Switching in First-in, First-out Networks (2016)Jobshop-Like Queueing Systems (1963)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Control Techniques for Complex Networks (2007)Pseudo-conservation laws in cyclic-service systems (1987)Queuing analysis of polling models (1988)Polling systems: applications, modeling, and optimization (1990)Controlled diffusion models for optimal dividend pay-out (1997)Robustness and Pricing with Uncertain Growth (2002)Dynamic modeling and control of supply chain systems: A review (2007)Stability of join the shortest queue networks (2011)On the instability of matching queues (2017)A survey of parameter and state estimation in queues (2021)
this work references cited by second hop

References

  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1993Markov Models & Optimization861 cited
  • 1985Analysis of polling systems661 cited
  • 1993Re-entrant lines366 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited

Cited by

  • 2001Adversarial queuing theory274 cited
  • 2005Maximum Pressure Policies in Stochastic Processing Networks258 cited
  • 2008Stability of Queueing Networks149 cited
  • 2006Validity of heavy traffic steady-state approximations in generalized Jackson networks146 cited
  • 2008Stability of queueing networks139 cited
  • 1996Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks135 cited
  • 1996Convergence to equilibria for fluid models of FIFO queueing networks133 cited
  • 2000The Stability of Two-Station Multitype Fluid Networks124 cited
  • 2023Operational Research: methods and applications124 cited
  • 2000Discrete-review policies for scheduling stochastic networks: trajectory tracking and fluid-scale asymptotic optimality

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117 cited
  • 2000Stability of Multiclass Queueing Networks Under Priority Service Disciplines105 cited
  • 2003Dynamic Server Allocation for Queueing Networks with Flexible Servers102 cited
  • 1999Stability of a three‐station fluid network101 cited
  • 2014Stochastic Gradient Estimation90 cited
  • 1998Stability of two families of queueing networks and a discussion of fluid limits89 cited
  • 2009Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic87 cited