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The busy period in the fluid queue
3 references·10 citing·44 second hop
The busy period in the fluid queue (1998)The busy period in the fluid queueHeavy traffic analysis of a storage model with long range dependent On/Off sources (1996)Heavy traffic analysis of a s…Fluid queues and regular variation (1996)Fluid queues and regular vari…On the asymptotic behaviour of the distributions of the busy period and service time in M/G/ 1 (1980)On the asymptotic behaviour o…Busy period analysis for M/PH/1 queues with workload dependent balking (2008)Busy period analysis for M/PH…Tail asymptotics for the queue length in an M/G/1 retrial queue (2006)Tail asymptotics for the queu…A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH (2006)A TANDEM QUEUE WITH LÉVY INPU…Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type (2005)Heavy-tailed asymptotics of s…Waiting Time Asymptotics in the Single Server Queue with Service in Random Order (2004)Waiting Time Asymptotics in t…Large Deviations of Square Root Insensitive Random Sums (2004)Large Deviations of Square Ro…The Asymptotic Workload Behavior of Two Coupled Queues (2003)The Asymptotic Workload Behav…Mean first passage times in fluid queues (2002)Mean first passage times in f…Heavy Tails: The Effect of the Service Discipline (2002)Heavy Tails: The Effect of th…Coupled processors with regularly varying service times (2002)Coupled processors with regul…Boundary Value Problems in Queueing System Analysis (1983)The Single Server Queue (1983)Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995). (1996)Analysis of cycle stealing with switching cost (2003)Max-Weight Scheduling in Queueing Networks With Heavy-Tailed Traffic (2013)A TWO-CLASS RETRIAL SYSTEM WITH COUPLED ORBIT QUEUES (2017)The Queue M/G/1 with the Shortest Remaining Processing Time Discipline (1966)Stochastic Modeling and the Theory of Queues (1989)Generalized processor sharing queues (2003)Queueing systems with long-range dependent input process and subexponential service times (2003)Fluid models for single buffer systems (1998)Frontiers in Queueing: Models and Applications in Science and Engineering (1998)The busy period in the fluid queue (1998)Block-Structured Fluid Queues Driven by QBD Processes (2005)Modelling of extremal events in insurance and finance (1994)Modelling Extremal Events (1997)Retrial Queues (1997)Tail asymptotics for the queue size distribution in the MAP/G/1 retrial queue (2010)Tail asymptotics for M/M/c retrial queues with non-persistent customers (2011)Tail asymptotics of the queue size distribution in the M/M/m retrial queue (2012)Introduction to the Theory of Queues. (1963)The Single Server Queue. (1983)Tails in scheduling (2007)The Foreground–Background queue: A survey (2007)Is Tail-Optimal Scheduling Possible? (2012)Queueing Systems. Volume 1: Theory (Leonard Kleinrock) (1976)A storage model with self-similar input (1994)Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Fluid queues with long-tailed activity period distributions (1998)Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Large deviations of heavy-tailed random sums with applications in insurance and finance (1997)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Characterizing Heavy-Tailed Distributions Induced by Retransmissions (2013)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Modeling and analysis of power-tail distributions via classical teletraffic methods (2000)Overflow behavior in queues with many long-tailed inputs (2000)Applied Probability and Queues (1987)Extreme Values, Regular Variation and Point Processes (1987)Heavy-tailed asymptotics for a fluid model driven by an queue (2007)Light-Tailed Asymptotics of Stationary Tail Probability Vectors of Markov Chains of M/G/1 Type (2010)Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains (2011)A fluid model for a relay node in an ad hoc network: the case of heavy-tailed input (2008)Regularly varying tail of the waiting time distribution in M/G/1 retrial queue (2010)
this work references cited by second hop

References

  • 1980On the asymptotic behaviour of the distributions of the busy period and service time in M/G/ 189 cited
  • 1996Heavy traffic analysis of a storage model with long range dependent On/Off sources69 cited
  • 1996Fluid queues and regular variation49 cited

Cited by

  • 2003The Asymptotic Workload Behavior of Two Coupled Queues32 cited
  • 2006Tail asymptotics for the queue length in an M/G/1 retrial queue32 cited
  • 2004Large Deviations of Square Root Insensitive Random Sums29 cited
  • 2002Mean first passage times in fluid queues26 cited
  • 2005Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type26 cited
  • 2002Heavy Tails: The Effect of the Service Discipline25 cited
  • 2004Waiting Time Asymptotics in the Single Server Queue with Service in Random Order23 cited
  • 2002Coupled processors with regularly varying service times21 cited
  • 2008Busy period analysis for M/PH/1 queues with workload dependent balking19 cited
  • 2006A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH17 cited

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