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Sojourn time asymptotics in the M/G/1 processor sharing queue
9 references·16 citing·40 second hop
Sojourn time asymptotics in the M/G/1 processor sharing queue (2000)Sojourn time asymptotics in the M/G/1 pro…Modelling Extremal Events (1997)Modelling Extremal EventsExponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…Processor-sharing queues: Some progress in analysis (1987)Processor-sharing queues: Som…The sojourn-time distribution in the M/G/1 queue by processor sharing (1984)The sojourn-time distribution…On closure and factorization properties of subexponential and related distributions (1980)On closure and factorization …The multiple phase service network with generalized processor sharing (1979)The multiple phase service ne…Some results on regular variation for distributions in queueing and fluctuation theory (1973)Some results on regular varia…Waiting Time Distributions for Processor-Sharing Systems (1970)Waiting Time Distributions fo…Cost-per-Click Pricing for Display Advertising (2014)Cost-per-Click Pricing for Di…Self-adaptive admission control policies for resource-sharing systems (2009)Self-adaptive admission contr…The Foreground–Background queue: A survey (2007)The Foreground–Background que…Tails in scheduling (2007)Tails in schedulingProcessor sharing: A survey of the mathematical theory (2007)Processor sharing: A survey o…Beyond processor sharing (2007)Beyond processor sharingSojourn time asymptotics in processor-sharing queues (2006)Sojourn time asymptotics in p…Large deviations of sojourn times in processor sharing queues (2006)Large deviations of sojourn t…Classifying scheduling policies with respect to higher moments of conditional response time (2005)Classifying scheduling polici…Tail asymptotics for processor-sharing queues (2004)Tail asymptotics for processo…The impact of the service discipline on delay asymptotics (2003)The impact of the service dis…Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue (2003)Large Deviation Analysis of S…Elastic calls in an integrated services network: the greater the call size variability the better the QoS (2003)Elastic calls in an integrate…Analysis of the M/G/1 processor-sharing queue with bulk arrivals (2003)Analysis of the M/G/1 process…Queues with Equally Heavy Sojourn Time and Service Requirement Distributions (2002)Queues with Equally Heavy Soj…Processor-sharing models for integrated-services networks (2000)Processor-sharing models for …On the tails of waiting-time distributions (1975)Stochastic Processes in Queueing Theory (1976)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Rare Events Simulation for Heavy-Tailed Distributions (2000)Improved algorithms for rare event simulation with heavy tails (2006)Time-shared Systems (1967)Theory, Volume 1, Queueing Systems (1975)New results on the single server queue with a batch markovian arrival process (1991)Asymptotics for M/G/1 low-priority waiting-time tail probabilities (1997)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Appendix: A primer on heavy-tailed distributions (1999)Subexponentiality and infinite divisibility (1979)Convolution tails, product tails and domains of attraction (1986)Convolutions of Distributions With Exponential and Subexponential Tails (1987)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Introduction to Congestion Theory in Telephone Systems. (1962)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Networks of queues (1976)Sharing a Processor Among Many Job Classes (1980)Queueing Networks: A Survey of Their Random Processes (1985)The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)An introduction to queueing theory (1993)The fluid limit of a heavily loaded processor sharing queue (2002)A survey on discriminatory processor sharing (2006)Fundamentals of Queueing Theory. (1977)Modelling of extremal events in insurance and finance (1994)Blocking probabilities of elastic and adaptive calls in the Erlang multirate loss model under the threshold policy (2015)Congestion probabilities of elastic and adaptive calls in Erlang-Engset multirate loss models under the threshold and bandwidth reservation policies (2015)WCFS: a new framework for analyzing multiserver systems (2022)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)The Single Server Queue. (1983)Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotics for Sums of Random Variables with Local Subexponential Behaviour (2003)Fundamentals of Queueing Theory. (1975)Mathematical problems in the theory of shared-processor systems (1992)Empirical properties of asset returns: stylized facts and statistical issues (2001)Extreme Correlation of International Equity Markets (2001)Conditional value-at-risk for general loss distributions (2002)
this work references cited by second hop

References

  • 1997Modelling Extremal Events4,397 cited
  • 1980On closure and factorization properties of subexponential and related distributions286 cited
  • 1970Waiting Time Distributions for Processor-Sharing Systems236 cited
  • 1979The multiple phase service network with generalized processor sharing229 cited
  • 1987Processor-sharing queues: Some progress in analysis189 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 1973Some results on regular variation for distributions in queueing and fluctuation theory132 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1984The sojourn-time distribution in the M/G/1 queue by processor sharing115 cited

Cited by

  • 2007Processor sharing: A survey of the mathematical theory95 cited
  • 2007The Foreground–Background queue: A survey87 cited
  • 2007Tails in scheduling86 cited
  • 2003The impact of the service discipline on delay asymptotics72 cited
  • 2000Processor-sharing models for integrated-services networks66 cited
  • 2007Beyond processor sharing62 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2014Cost-per-Click Pricing for Display Advertising53 cited
  • 2006Sojourn time asymptotics in processor-sharing queues53 cited
  • 2002Queues with Equally Heavy Sojourn Time and Service Requirement Distributions50 cited
  • 2009Self-adaptive admission control policies for resource-sharing systems49 cited
  • 2004Tail asymptotics for processor-sharing queues48 cited
  • 2003Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue44 cited
  • 2003Elastic calls in an integrated services network: the greater the call size variability the better the QoS39 cited
  • 2006Large deviations of sojourn times in processor sharing queues38 cited
  • 2005Classifying scheduling policies with respect to higher moments of conditional response time34 cited
  • 2003Analysis of the M/G/1 processor-sharing queue with bulk arrivals34 cited