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Exponential upper bounds via martingales for multiplexers with Markovian arrivals
8 references·5 citing·36 second hop
Exponential upper bounds via martingales for multiplexers with Markovian arrivals (1994)Exponential upper bounds via martingales …The superposition of variable bit rate sources in an ATM multiplexer (1991)The superposition of variable…Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources (1991)Loss performance analysis of …Aspects of Risk Theory (1991)Aspects of Risk TheoryA Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A Markov Modulated Characteri…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Inequalities in the Theory of Queues (1970)Inequalities in the Theory of…A martingale inequality in the theory of queues (1964)A martingale inequality in th…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…Stochastic bounds in Fork–Join queueing systems under full and partial mapping (2016)Stochastic bounds in Fork–Joi…Computable Bounds in Fork-Join Queueing Systems (2015)Computable Bounds in Fork-Joi…A martingale-envelope and applications (2014)A martingale-envelope and app…Economies of scale in queues with sources having power-law large deviation scalings (1996)Economies of scale in queues …A note on martingale inequalities for fluid models (1996)A note on martingale inequali…On the theory of queues with many servers (1955)Approximations in finite-capacity multi-server queues by Poisson arrivals (1978)Performance bounds for queueing networks and scheduling policies (1994)Tractable stochastic analysis in high dimensions via robust optimization (2012)Stochastic Processes in Queueing Theory (1976)Fluid models for the analysis and design of statistical multiplexing with loss priorities on multiple classes of bursty traffic (1992)Exponential bounds for queues with Markovian arrivals (1994)Large deviations approximation for fluid queues fed by a large number of on/off sources (1995)The theory of queues with a single server (1952)On Queues in Heavy Traffic (1962)Some Inequalities for the Queue GI/G/1 (1962)Some Inequalities for Parallel-Server Queues (1971)Bounds on the delay distribution inGI/G/1 queues (1974)Fractional Brownian Motions, Fractional Noises and Applications (1968)A storage model with self-similar input (1994)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Large deviations of inverse processes with nonlinear scalings (1998)Loss asymptotics in large buffers fed by heterogeneous long-tailed sources (2000)Overflow behavior in queues with many long-tailed inputs (2000)Queueing Systems. Volume 1: Theory (1975)Poisson Arrivals See Time Averages (1982)New results on the single server queue with a batch markovian arrival process (1991)The Markov-modulated Poisson process (MMPP) cookbook (1993)Two Parallel Queues Created by Arrivals with Two Demands I (1984)Approximate analysis of fork/join synchronization in parallel queues (1988)Non-Asymptotic Delay Bounds for Multi-Server Systems with Synchronization Constraints (2018)Delay Asymptotics and Bounds for Multi-Task Parallel Jobs (2019)Delay asymptotics and bounds for multitask parallel jobs (2019)Controlled diffusion models for optimal dividend pay-out (1997)Optimal Dividends (2004)Minimizing the Probability of Ruin When Claims Follow Brownian Motion with Drift (2005)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)The BMAP/G/1 queue: A tutorial (2005)A simple algorithm for the rate matrices of level-dependent QBD processes (2010)Traffic modeling for telecommunications networks (1994)On the stability of interacting queues in a multiple-access system (1988)
this work references cited by second hop

References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1991Aspects of Risk Theory902 cited
  • 1970Inequalities in the Theory of Queues245 cited
  • 1991Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources198 cited
  • 1991The superposition of variable bit rate sources in an ATM multiplexer169 cited
  • 1964A martingale inequality in the theory of queues114 cited

Cited by

  • 1996Economies of scale in queues with sources having power-law large deviation scalings46 cited
  • 2016Stochastic bounds in Fork–Join queueing systems under full and partial mapping32 cited
  • 2015Computable Bounds in Fork-Join Queueing Systems24 cited
  • 1996A note on martingale inequalities for fluid models19 cited
  • 2014A martingale-envelope and applications16 cited

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