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Large Fluctuations in a Deterministic Multiclass Network of Queues
10 references·7 citing·43 second hop
Large Fluctuations in a Deterministic Multiclass Network of Queues (1993)Large Fluctuations in a Deterministic Mul…Instability of FIFO Queueing Networks (1994)Instability of FIFO Queueing …Re-entrant lines (1993)Re-entrant linesBrownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Resource pooling in queueing networks with dynamic routing (1992)Resource pooling in queueing …Oscillations and chaos in a flow model of a switching system (1991)Oscillations and chaos in a f…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…A multiclass feedback queue in heavy traffic (1988)A multiclass feedback queue i…The asymptotic behavior o queues with time-varying arrival rates (1984)The asymptotic behavior o que…Managing a service system with social interactions: Stability and chaos (2012)Managing a service system wit…Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines (2000)Diffusion Approximations for …Instability of the Join-the-Shortest-Queue and FCFS Policies in Queueing Systems and Their Stabilization (1997)Instability of the Join-the-S…Global Stability of Two-Station Queueing Networks (1996)Global Stability of Two-Stati…Some Badly Behaved Closed Queueing Networks (1995)Some Badly Behaved Closed Que…A multiclass Station with Markovian Feedback in Heavy Traffic (1995)A multiclass Station with Mar…On the Convergence of Multiclass Queueing Networks in Heavy Traffic (1994)On the Convergence of Multicl…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)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)A heavy traffic limit theorem for a class of open queueing networks with finite buffers (1999)The Stochastic Economic Lot Scheduling Problem: Heavy Traffic Analysis of Dynamic Cyclic Policies (2000)Sequencing and Routing in Multiclass Queueing Networks Part II: Workload Relaxations (2003)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Optimal control of production rate in a failure prone manufacturing system (1986)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Performance Analysis of Manufacturing Systems (1997)Throughput analysis of production systems: recent advances and future topics (2008)Steady-State Analysis of RBM in a Rectangle: Numerical Methods and A Queueing Application (1991)Dynamic Scheduling Rules for a Multiproduct Make-to-Stock Queue (1997)An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)Jobshop-Like Queueing Systems (2004)Channels that Cooperatively Service a Data Stream and Voice Messages (1982)Priority Queues with Feedback (1984)Chaos in a simple deterministic queueing system (1994)Nearly Periodic Behavior in the Overloaded G/D/s + GI Queue (2011)Chattering and Congestion Collapse in an Overload Switching Control (2016)Poisson Arrivals See Time Averages (1982)Queues and Point Processes. (1985)An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals (1986)Sensitivity to the Service-Time Distribution in the Nonstationary Erlang Loss Model (1995)Nonstationary Queues: Estimation of the Rate of Convergence (2004)Loss Networks (1991)Dynamic Server Allocation for Queueing Networks with Flexible Servers (2003)Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy (2005)Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies (2005)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)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)
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References

  • 1993Re-entrant lines366 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1994Instability of FIFO Queueing Networks263 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1992Resource pooling in queueing networks with dynamic routing110 cited
  • 1990The QNET method for two-moment analysis of open queueing networks109 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • 1984The asymptotic behavior o queues with time-varying arrival rates80 cited
  • 1988A multiclass feedback queue in heavy traffic63 cited
  • 1991Oscillations and chaos in a flow model of a switching system62 cited

Cited by

  • 1995A multiclass Station with Markovian Feedback in Heavy Traffic30 cited
  • 1996Global Stability of Two-Station Queueing Networks29 cited
  • 1994On the Convergence of Multiclass Queueing Networks in Heavy Traffic25 cited
  • 1997Instability of the Join-the-Shortest-Queue and FCFS Policies in Queueing Systems and Their Stabilization23 cited
  • 2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines

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21 cited
  • 1995Some Badly Behaved Closed Queueing Networks18 cited
  • 2012Managing a service system with social interactions: Stability and chaos11 cited