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Admission Control for Combined Guaranteed Performance and Best Effort Communications Systems Under Heavy Traffic
16 references·1 citing·48 second hop
Admission Control for Combined Guaranteed Performance and Best Effort Communications Systems Under Heavy Traffic (1999)Admission Control for Combined Guaranteed…State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)State-dependent stochastic ne…Exponential bounds with applications to call admission (1997)Exponential bounds with appli…Heavy Traffic Analysis of a Controlled Multiclass Queueing Network via Weak Convergence Methods (1996)Heavy Traffic Analysis of a C…Controlled and optimally controlled multiplexing systems: A numerical exploration (1995)Controlled and optimally cont…Control of Trunk Line Systems in Heavy Traffic (1995)Control of Trunk Line Systems…Optimality of Randomized Trunk Reservation (1994)Optimality of Randomized Trun…Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…Diffusion approximations for open queueing networks with service interruptions (1993)Diffusion approximations for …Numerical Methods for Stochastic Control Problems in Continuous Time (1992)Numerical Methods for Stochas…On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)On lipschitz continuity of th…Numerical Methods for Stochastic Singular Control Problems (1991)Numerical Methods for Stochas…Effective bandwidths at multi-class queues (1991)Effective bandwidths at multi…Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Numerical Methods for Stochas…Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic (1989)Optimal and Approximately Opt…Constrained admission control to a queueing system (1989)Constrained admission control…Optimality Conditions for the Average Cost per Unit Time Problem with a Diffusion Model (1978)Optimality Conditions for the…Numerical Approximations for Stochastic Differential Games: The Ergodic Case (2004)Numerical Approximations for …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)Reflected Brownian Motion on an Orthant (1981)Diffusion approximation forGI/G/1 controlled queues (1992)Diffusion approximations for controlled stochastic networks: An asymptotic bound for the value function (2006)Point Processes and Queues (1981)Stochastic Integration and Differential Equations (2005)Brownian Motion and Stochastic Calculus (2007)Many-server diffusion limits for G/Ph/n+GI queues (2010)When to Use Speedup: An Examination of Service Systems with Returns (2014)Spatial Capacity Planning (2021)Stochastic differential equations with reflecting boundary condition in convex regions (1979)Stochastic differential equations with reflecting boundary conditions (1984)Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant (1993)Problàme de Skorohod multivoque (1998)Loss Networks (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Fast simulation of rare events in queueing and reliability models (1995)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures (1960)On Square Integrable Martingales (1967)Dynamic Programming Conditions for Partially Observable Stochastic Systems (1973)Nearly Optimal State Feedback Controls for Stochastic Systems with Wideband Noise Disturbances (1987)Ergodic Control of Multidimensional Diffusions I: The Existence Results (1988)Martingale methods in stochastic control (2005)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Exponential bounds for queues with Markovian arrivals (1994)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)A Numerical Method for Solving Singular Stochastic Control Problems (2004)Numerical solutions of optimal risk control and dividend optimization policies under a generalized singular control formulation (2012)Numerical methods for optimal dividend payment and investment strategies of regime-switching jump diffusion models with capital injections (2013)Introduction to Queueing Theory. (1982)Optimal control of admission to a quenching system (1985)An introduction to queueing theory (1993)Constrained Markov Games: Nash Equilibria (2000)Applications of Markov Decision Processes in Communication Networks (2002)Dynamic allocation indices for restless projects and queueing admission control: a polyhedral approach (2002)Numerical Valuation of High Dimensional Multivariate American Securities (1995)Heavy traffic resource pooling in parallel‐server systems (1999)Investment Shocks and Asset Prices (2011)
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References

  • 1990Numerical Methods for Stochastic Control Problems in Continuous Time1,400 cited
  • 1992Numerical Methods for Stochastic Control Problems in Continuous Time625 cited
  • 1991Effective bandwidths at multi-class queues457 cited
  • 1991On lipschitz continuity of the solution mapping to the skorokhod problem, with applications255 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1998State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits102 cited
  • 1978Optimality Conditions for the Average Cost per Unit Time Problem with a Diffusion Model88 cited
  • 1989Constrained admission control to a queueing system71 cited
  • 1991Numerical Methods for Stochastic Singular Control Problems64 cited
  • 1989Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic59 cited
  • 1993Diffusion approximations for open queueing networks with service interruptions48 cited
  • 1994Optimality of Randomized Trunk Reservation46 cited
  • 1997Exponential bounds with applications to call admission33 cited
  • 1995Controlled and optimally controlled multiplexing systems: A numerical exploration29 cited
  • 1996

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Heavy Traffic Analysis of a Controlled Multiclass Queueing Network via Weak Convergence Methods
28 cited
  • 1995Control of Trunk Line Systems in Heavy Traffic22 cited
  • Cited by

    • 2004Numerical Approximations for Stochastic Differential Games: The Ergodic Case25 cited