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Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network
15 references·1 citing·38 second hop
Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network (1993)Scheduling Networks of Queues: Heavy Traf…Some diffusion approximations with state space collapse (2006)Some diffusion approximations…A class of singular stochastic control problems (2006)A class of singular stochasti…Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Netw…A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types (1991)A Heavy Traffic Limit Theorem…Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network (1990)Scheduling Networks of Queues…Optimal Control of a Two-Station Brownian Network (1990)Optimal Control of a Two-Stat…Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Numerical Methods for Stochas…Scheduling networks of queues: Heavy traffic analysis of a simple open network (1989)Scheduling networks of queues…Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs (1989)Scheduling network of queues …Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Average Optimal Singular Control and a Related Stopping Problem (1985)Average Optimal Singular Cont…Time-Sharing Service Systems. I (1975)Time-Sharing Service Systems.…Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open, Closed, and Mixed Netwo…Weak convergence theorems for priority queues: preemptive-resume discipline (1971)Weak convergence theorems for…The Throughput of Irreducible Closed Markovian Queueing Networks: Functional Bounds, Asymptotic Loss, Efficiency, and the Harrison-Wein Conjectures (1997)The Throughput of Irreducible…Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)Martingale Methods in Financial Modelling (1997)An introduction to stochastic partial differential equations (2006)A Dynamic Model of Optimal Capital Structure (2007)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)Planning and Control Systems: A Framework for Analysis (1965)Extreme Values, Regular Variation and Point Processes (1987)Strong Approximations for Time-Dependent Queues (1995)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Stochastic Differential Equations and Applications (1976)Controlled Diffusion Processes (1980)Stochastic Differential Equations and Diffusion Processes (1983)Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem (1989)Irreversible investment and industry equilibrium (1996)Singular Stochastic Control, Linear Diffusions, and Optimal Stopping: A Class of Solvable Problems (2001)A Proof for the Queuing Formula: L = λ W (1961)A survey of Markov decision models for control of networks of queues (1993)Heavy traffic analysis of a system with parallel servers: asymptotic optimality of discrete-review policies (1998)Real-time queueing theory (2002)Brownian Motion and Stochastic Calculus (2007)Networks of Waiting Lines (1957)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)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)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Optimization of Multiclass Queueing Networks: Polyhedral and Nonlinear Characterizations of Achievable Performance (1994)Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations (1997)Dynamic Scheduling of a Multiclass Make-to-Stock Queue (1992)On Pooling in Queueing Networks (1998)Extensions of the multiarmed bandit problem: The discounted case (1985)Restless bandits, partial conservation laws and indexability (2001)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)Blocking in a Shared Resource Environment (1981)An introduction to queueing theory (1993)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)
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References

  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1990Numerical Methods for Stochastic Control Problems in Continuous Time1,400 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1975Time-Sharing Service Systems. I285 cited
  • 1990Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network199 cited
  • 1989Scheduling networks of queues: Heavy traffic analysis of a simple open network176 cited
  • 2006Some diffusion approximations with state space collapse175 cited
  • 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks152 cited
  • 2006A class of singular stochastic control problems145 cited
  • 1989Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs136 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • 1990Optimal Control of a Two-Station Brownian Network98 cited
  • 1971Weak convergence theorems for priority queues: preemptive-resume discipline91 cited
  • 1985Average Optimal Singular Control and a Related Stopping Problem

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  • 1997The Throughput of Irreducible Closed Markovian Queueing Networks: Functional Bounds, Asymptotic Loss, Efficiency, and the Harrison-Wein Conjectures28 cited