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Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks
11 references·16 citing·24 second hop
Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Networks: Diffus…Jobshop-Like Queueing Systems (2004)Jobshop-Like Queueing SystemsDiscrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Extreme Values, Regular Variation and Point Processes (1987)Extreme Values, Regular Varia…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. I (1970)Multiple channel queues in he…Planning and Control Systems: A Framework for Analysis (1965)Planning and Control Systems:…Heavy traffic analysis for EDF queues with reneging (2011)Heavy traffic analysis for ED…Asymptotic optimality of maximum pressure policies in stochastic processing networks (2008)Asymptotic optimality of maxi…Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Validity of heavy traffic ste…Asymptotic optimality of maximum pressure policies in stochastic processing networks (2006)Asymptotic optimality of maxi…Convex duality and the Skorokhod Problem. I (1999)Convex duality and the Skorok…State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)State-dependent stochastic ne…A heavy-traffic analysis of a closed queueing system with a GI/∞ service center (1997)A heavy-traffic analysis of a…Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996)Existence and Uniqueness of S…Convergence to equilibria for fluid models of FIFO queueing networks (1996)Convergence to equilibria for…Strong Approximations for Time-Dependent Queues (1995)Strong Approximations for Tim…Hierarchical Modeling of Stochastic Networks, Part II: Strong Approximations (1994)Hierarchical Modeling of Stoc…Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models (1994)Hierarchical Modeling of Stoc…Resource pooling in queueing networks with dynamic routing (1992)Resource pooling in queueing …Diffusion approximations for queues with server vacations (1990)Diffusion approximations for …Chapter 4 Diffusion approximations (1990)Chapter 4 Diffusion approxima…Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs (1989)Scheduling network of queues …Networks of Waiting Lines (1957)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)The single server queue in heavy traffic (1961)Past, present, and future of decision support technology (2002)Management control systems as a package—Opportunities, challenges and research directions (2008)The design and use of performance management systems: An extended framework for analysis (2009)Modelling of extremal events in insurance and finance (1994)Extreme Correlation of International Equity Markets (2001)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)The Operational Analysis of Queueing Network Models (1978)Lot Sizes, Lead Times and In-Process Inventories (1987)Inventory Management of Remanufacturable Products (2000)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)
this work references cited by second hop

References

  • 1987Extreme Values, Regular Variation and Point Processes3,165 cited
  • 1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
  • 1965Planning and Control Systems: A Framework for Analysis2,226 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 2004Jobshop-Like Queueing Systems733 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
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited

Cited by

  • 2006Validity of heavy traffic steady-state approximations in generalized Jackson networks146 cited
  • 1995Strong Approximations for Time-Dependent Queues144 cited
  • 1989Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs136 cited
  • 1996Convergence to equilibria for fluid models of FIFO queueing networks

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133 cited
  • 1992Resource pooling in queueing networks with dynamic routing110 cited
  • 1996Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons104 cited
  • 1997A heavy-traffic analysis of a closed queueing system with a GI/∞ service center102 cited
  • 1998State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits102 cited
  • 2008Asymptotic optimality of maximum pressure policies in stochastic processing networks95 cited
  • 1999Convex duality and the Skorokhod Problem. I85 cited
  • 2006Asymptotic optimality of maximum pressure policies in stochastic processing networks82 cited
  • 1990Chapter 4 Diffusion approximations78 cited
  • 1994Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models71 cited
  • 1994Hierarchical Modeling of Stochastic Networks, Part II: Strong Approximations61 cited
  • 1990Diffusion approximations for queues with server vacations58 cited
  • 2011Heavy traffic analysis for EDF queues with reneging56 cited