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Large Deviations estimates for Polling and Weighted Fair Queueing service systems
6 references·1 citing·33 second hop
Large Deviations estimates for Polling and Weighted Fair Queueing service systems (1998)Large Deviations estimates for Polling an…Large deviations analysis of the generalized processor sharing policy (1999)Large deviations analysis of …A Skorokhod Problem formulation and large deviation analysis of a processor sharing model (1998)A Skorokhod Problem formulati…Large deviations for departures from a shared buffer (1997)Large deviations for departur…Large deviation analysis of the single server queue (1996)Large deviation analysis of t…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Queuing analysis of polling models (1988)Queuing analysis of polling m…Tail asymptotics for policies favoring short jobs in a many-flows regime (2006)Tail asymptotics for policies…Effective bandwidths at multi-class queues (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)A large deviation principle with queueing applications (2002)Effective bandwidths of departure processes from queues with time varying capacities (2002)Fluid and heavy traffic diffusion limits for a generalized processor sharing model (2003)Analysis of generalized processor-sharing systems with two classes of customers and exponential services (2004)Reflected Brownian Motion on an Orthant (1981)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic differential equations with reflecting boundary conditions (1984)Large deviations of the steady-state distribution of reflected processes with applications to queueing systems (1998)A Multiclass Feedback Queueing Network with a Regular Skorokhod Problem (2000)The heavy traffic limit of an unbalanced generalized processor sharing model (2008)Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline (1968)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Classifying scheduling policies with respect to unfairness in an M/GI/1 (2003)Introduction to the Theory of Queues. (1963)Queueing systems with vacations ? A survey (1986)Stochastic Modeling and the Theory of Queues (1989)Workloads and waiting times in single-server systems with multiple customer classes (1989)Analysis and Application of Polling Models (2000)Mathematical methods to study the polling systems (2006)Stochastic Differential Equations and Diffusion Processes (1983)Open Queueing Networks in Heavy Traffic (1984)Large deviations of semimartingales: A maxingale problem approach i. limits as solutions to a maxingale problem (1997)Moderate deviations for queues in critical loading (1999)A large deviations approach to asymptotically optimal control of crisscross network in heavy traffic (2005)A storage model with self-similar input (1994)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)Functional Large Deviation Principles for Waiting and Departure Processes (1998)Large Deviations for Queue Lengths at a Multi-Buffered Resource (1998)Many Sources Asymptotics for Networks with Small Buffers (2004)
this work references cited by second hop

References

  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1988Queuing analysis of polling models287 cited
  • 1999Large deviations analysis of the generalized processor sharing policy53 cited
  • 1998A Skorokhod Problem formulation and large deviation analysis of a processor sharing model40 cited
  • 1996Large deviation analysis of the single server queue39 cited
  • 1997Large deviations for departures from a shared buffer25 cited

Cited by

  • 2006Tail asymptotics for policies favoring short jobs in a many-flows regime15 cited

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