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Hierarchical Modeling of Stochastic Networks, Part II: Strong Approximations
16 references·8 citing·21 second hop
Hierarchical Modeling of Stochastic Networks, Part II: Strong Approximations (1994)Hierarchical Modeling of Stochastic Netwo…Jobshop-Like Queueing Systems (2004)Jobshop-Like Queueing SystemsStability of Generalized Jackson Networks (1994)Stability of Generalized Jack…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 …Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network (1990)Scheduling Networks 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…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…Closed Queuing Systems with Exponential Servers (1967)Closed Queuing Systems with E…Jobshop-Like Queueing Systems (1963)Jobshop-Like Queueing SystemsThe Finite Element Method for Computing the Stationary Distribution of an SRBM in a Hypercube with Applications to Finite Buffer Queueing Networks (2002)The Finite Element Method for…Explicit Solutions for Variational Problems in the Quadrant (2001)Explicit Solutions for Variat…Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks (2001)Existence Condition for the D…Strong approximations for multiclass feedforward queueing networks (2000)Strong approximations for mul…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 …State-Dependent Queues: Approximations and Applications (1995)State-Dependent Queues: Appro…Networks of Waiting Lines (1957)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)The single server queue in heavy traffic (1961)The Operational Analysis of Queueing Network Models (1978)Lot Sizes, Lead Times and In-Process Inventories (1987)Inventory Management of Remanufacturable Products (2000)Approximate Analysis of General Queuing Networks by Decomposition (1979)The Distribution of Queuing Network States at Input and Output Instants (1981)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)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)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)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)Computational algorithms for closed queueing networks with exponential servers (1973)
this work references cited by second hop

References

  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1963Jobshop-Like Queueing Systems898 cited
  • 2004Jobshop-Like Queueing Systems733 cited
  • 1967Closed Queuing Systems with Exponential Servers670 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
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 1990Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network199 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1994Stability of Generalized Jackson Networks170 cited

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1992
Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis
167 cited

Cited by

  • 1995State-Dependent Queues: Approximations and Applications56 cited
  • 2001Explicit Solutions for Variational Problems in the Quadrant40 cited
  • 2002The Finite Element Method for Computing the Stationary Distribution of an SRBM in a Hypercube with Applications to Finite Buffer Queueing Networks34 cited
  • 2000Strong approximations for multiclass feedforward queueing networks25 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