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Large deviations analysis of the generalized processor sharing policy
8 references·12 citing·33 second hop
Large deviations analysis of the generalized processor sharing policy (1999)Large deviations analysis of the generali…Effective bandwidths of departure processes from queues with time varying capacities (2002)Effective bandwidths of depar…On the large deviations behavior of acyclic networks of $G/G/1$ queues (1998)On the large deviations behav…Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)Asymptotic buffer overflow pr…Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995). (1996)Large Deviations for Performa…Sample path large deviations and intree networks (1995)Sample path large deviations …An introduction to large deviations for communication networks (1995)An introduction to large devi…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…Effective bandwidths at multi-class queues (1991)Effective bandwidths at multi…Approximation for a two-class weighted fair queueing discipline (2010)Approximation for a two-class…Asymptotic analysis of Lévy-driven tandem queues (2008)Asymptotic analysis of Lévy-d…Priority queues with Gaussian input: a path-space approach to loss and delay asymptotics. (2005)Priority queues with Gaussian…GPS schedulers and Gaussian traffic (2005)GPS schedulers and Gaussian t…On Stochastic Bounds for Monotonic Processor Sharing Networks (2004)On Stochastic Bounds for Mono…Analysis of generalized processor-sharing systems with two classes of customers and exponential services (2004)Analysis of generalized proce…Large Deviations-Based Asymptotics for Inventory Control in Supply Chains (2003)Large Deviations-Based Asympt…Generalized processor sharing queues (2003)Generalized processor sharing…Fluid and heavy traffic diffusion limits for a generalized processor sharing model (2003)Fluid and heavy traffic diffu…A large deviation principle with queueing applications (2002)A large deviation principle w…Large deviations of the steady-state distribution of reflected processes with applications to queueing systems (1998)Large deviations of the stead…Large Deviations estimates for Polling and Weighted Fair Queueing service systems (1998)Large Deviations estimates fo…An Introduction to Queueing Networks (1990)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Large deviations and the generalized processor sharing scheduling for a multiple-queue system (1998)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)Boundary Value Problems in Queueing System Analysis (1983)The Single Server Queue (1983)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Power series approximations for two-class generalized processor sharing systems (2010)Rare event asymptotics for a random walk in the quarter plane (2010)A TWO-CLASS RETRIAL SYSTEM WITH COUPLED ORBIT QUEUES (2017)Loss Networks (1991)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)The stability of a queue with non-independent inter-arrival and service times (1962)Comparison Methods for Queues and Other Stochastic Models. (1986)Reflected Brownian Motion on an Orthant (1981)Open Queueing Networks in Heavy Traffic (1984)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue (2005)The heavy traffic limit of an unbalanced generalized processor sharing model (2008)Order Book Dynamics in Liquid Markets: Limit Theorems and Diffusion Approximations (2012)Introduction to the Theory of Queues. (1963)Applied Probability and Queues (1987)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Managerial Allocation of Time and Effort: The Effects of Interruptions (2001)Load balancing and density dependent jump Markov processes (2002)Advances in Queueing Theory, Methods, and Open Problems (2023)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies (1999)Comparison Methods for Queues and Other Stochastic Models (1984)Probabilistic Service Level Guarantees in Make-to-Stock Manufacturing Systems (2001)Large Deviations of Queues Sharing a Randomly Time-Varying Server (2008)
this work references cited by second hop

References

  • 1991Effective bandwidths at multi-class queues457 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 2002Effective bandwidths of departure processes from queues with time varying capacities151 cited
  • 1996Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995).142 cited
  • 1995An introduction to large deviations for communication networks90 cited
  • 1995Sample path large deviations and intree networks82 cited
  • 1998Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach70 cited
  • 1998On the large deviations behavior of acyclic networks of $G/G/1$ queues63 cited

Cited by

  • 2004Analysis of generalized processor-sharing systems with two classes of customers and exponential services47 cited
  • 2003Fluid and heavy traffic diffusion limits for a generalized processor sharing model45 cited
  • 2002A large deviation principle with queueing applications44 cited
  • 2004On Stochastic Bounds for Monotonic Processor Sharing Networks43 cited
  • 2005GPS schedulers and Gaussian traffic40 cited
  • 1998Large deviations of the steady-state distribution of reflected processes with applications to queueing systems

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32 cited
  • 2008Asymptotic analysis of Lévy-driven tandem queues27 cited
  • 2003Large Deviations-Based Asymptotics for Inventory Control in Supply Chains21 cited
  • 2003Generalized processor sharing queues20 cited
  • 1998Large Deviations estimates for Polling and Weighted Fair Queueing service systems19 cited
  • 2010Approximation for a two-class weighted fair queueing discipline18 cited
  • 2005Priority queues with Gaussian input: a path-space approach to loss and delay asymptotics.17 cited