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Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds
16 references·1 citing·36 second hop
Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds (2014)Heavy-traffic asymptotics for networks of…Operations Systems with Discretionary Task Completion (2007)Operations Systems with Discr…Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)Validity of heavy traffic ste…Dynamic Control of an M/M/1 Service System with Adjustable Arrival and Service Rates (2006)Dynamic Control of an M/M/1 S…Applied Probability and Queues (2003)Applied Probability and QueuesFundamentals of Queueing Networks (2001)Fundamentals of Queueing Netw…Dynamic Control of a Queue with Adjustable Service Rate (2001)Dynamic Control of a Queue wi…Continuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis (1992)Reflected Brownian Motion in …Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Stochastic theory of a fluid …Optimal control of service rates in networks of queues (1987)Optimal control of service ra…Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions (1987)Multidimensional Reflected Br…Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian models of open queue…Applied Probability and Queues (1987)Applied Probability and QueuesIntroduction to the Theory of Queues. (1963)Introduction to the Theory of…Introduction to the Theory of Queues (1963)Introduction to the Theory of…The single server queue in heavy traffic (1961)The single server queue in he…Data buffering in information-measuring system (2017)Data buffering in information…Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Optimality of the shortest line discipline (1977)Optimal control of admission to a quenching system (1985)A survey of Markov decision models for control of networks of queues (1993)Optimal Stock Allocation for a Capacitated Supply System (2002)Networks of Waiting Lines (1957)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Brownian Motion and Stochastic Flow Systems. (1987)Planning Queueing Simulations (1989)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Fluctuations of Lévy Processes with Applications (2014)Decomposability: Queueing and Computer System Applications (1977)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Re-entrant lines (1993)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Throughput analysis of production systems: recent advances and future topics (2008)Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (2004)A survey of retrial queueing systems (2015)Pricing in Ride-Share Platforms: A Queueing-Theoretic Approach (2015)Backward Stochastic Differential Equations in Finance (1997)The Variance Gamma Process and Option Pricing (1998)A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)On Queues in Heavy Traffic (1962)Multiple channel queues in heavy traffic. I (1970)Modeling and analysis of manufacturing systems (2016)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)A General Class of Bulk Queues with Poisson Input (1967)Stochastic Processes for Insurance and Finance (1999)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)The N/G/1 queue and its detailed analysis (1980)M/G/1 queue with multiple working vacations (2005)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)A Stochastic Model for Order Book Dynamics (2010)
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References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 1987Applied Probability and Queues2,704 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 2001Fundamentals of Queueing Networks530 cited
  • 1961The single server queue in heavy traffic444 cited
  • 1963Introduction to the Theory of Queues420 cited
  • 1988Stochastic theory of a fluid model of producers and consumers coupled by a buffer419 cited
  • 1987Brownian models of open queueing networks with homogeneous customer populations ∗312 cited
  • 1987Optimal control of service rates in networks of queues248 cited
  • 1987Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions236 cited
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  • 2007Operations Systems with Discretionary Task Completion181 cited
  • 1992Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis167 cited
  • 2006Dynamic Control of an M/M/1 Service System with Adjustable Arrival and Service Rates150 cited
  • 2006

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Validity of heavy traffic steady-state approximations in generalized Jackson networks
146 cited

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  • 2017Data buffering in information-measuring system10 cited