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On the exponentiality of stochastic linear systems under the max-plus algebra
7 references·2 citing·30 second hop
On the exponentiality of stochastic linear systems under the max-plus algebra (1996)On the exponentiality of stochastic linea…Elements of Queueing Theory (2003)Elements of Queueing TheoryStability, queue length, and delay of deterministic and stochastic queueing networks (1994)Stability, queue length, and …Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…Exponential bounds for queues with Markovian arrivals (1994)Exponential bounds for queues…Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…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…Network calculus and queueing theory: two sides of one coin: invited paper (2009)Network calculus and queueing…A general framework for deterministic service guarantees in telecommunication networks with variable length packets (2001)A general framework for deter…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)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)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 Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Aspects of Risk Theory (1991)Effective bandwidths at multi-class queues (1991)Exponential bounds with applications to call admission (1997)Scheduling analysis with martingales (2014)Stochastic bounds in Fork–Join queueing systems under full and partial mapping (2016)Comparison Methods for Queues and Other Stochastic Models. (1986)Introduction to the Theory of Queues. (1963)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Effective bandwidths of departure processes from queues with time varying capacities (2002)The stability of a queue with non-independent inter-arrival and service times (1962)Fast simulation of rare events in queueing and reliability models (1995)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations, moderate deviations, and queues with long-range dependent input (1999)INFORMATION COSTS, PRICING, AND RESOURCE UNEMPLOYMENT (1969)Martingale Methods in Financial Modelling (1997)Simulation modeling for analysis (2010)
this work references cited by second hop

References

  • 1994Stability, queue length, and delay of deterministic and stochastic queueing networks815 cited
  • 2003Elements of Queueing Theory596 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 1970Inequalities in the Theory of Queues245 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1964A martingale inequality in the theory of queues114 cited
  • 1994Exponential bounds for queues with Markovian arrivals93 cited

Cited by

  • 2009Network calculus and queueing theory: two sides of one coin: invited paper22 cited
  • 2001A general framework for deterministic service guarantees in telecommunication networks with variable length packets15 cited

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