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On the distribution of queueing times
3 references·16 citing·43 second hop
On the distribution of queueing times (1953)On the distribution of queueing timesThe theory of queues with a single server (1952)The theory of queues with a s…The Life and Works of A. K. Erlang. (1951)The Life and Works of A. K. E…Some Problems in the Theory of Queues (1951)Some Problems in the Theory o…Open problems in queueing theory inspired by datacenter computing (2021)Open problems in queueing the…The first Erlang century—and the next (2009)The first Erlang century—and …Service Competition with General Queueing Facilities (2008)Service Competition with Gene…Real-Time Delay Estimation Based on Delay History (2008)Real-Time Delay Estimation Ba…Characterization of Matrix-Exponential Distributions (2008)Characterization of Matrix-Ex…Analysis, Design, and Control of Queueing Systems (2002)Analysis, Design, and Control…Extreme Value Theory for Queues Via Cycle Maxima (1998)Extreme Value Theory for Queu…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…An approximation for performance evaluation of stationary single server queues (1994)An approximation for performa…Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…Phase-Type Representations in Random Walk and Queueing Problems (1992)Phase-Type Representations in…Approximation with generalized hyperexponential distributions: Weak convergence results (1986)Approximation with generalize…Embedded renewal processes in theGI/G/squeue (1972)Embedded renewal processes in…On the algebra of queues (1966)On the algebra of queuesSome Recent Work and Further Problems in the Theory of Queues (1964)Some Recent Work and Further …Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time (1959)Imbedded Markov Chain Analysi…Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Investigation of waiting time problems by reduction to Markov processes (1955)Queues Subject to Service Interruption (1962)Queuing with balking and reneging in M|G|1 systems (1967)Sampling at subexponential times, with queueing applications (1999)MATHEMATICAL METHODS IN THE SOCIAL SCIENCES, 1959 (1960)The stability of a queue with non-independent inter-arrival and service times (1962)The Correlation Structure of the Output Process of Some Single Server Queueing Systems (1968)The numerical calculation ofU(w, t), the probability of non-ruin in an interval (0,t) (1974)The covariance structure of queues and related processes – a survey of recent work (1975)Theory, Volume 1, Queueing Systems (1975)Applied Probability and Queues (1987)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)A Proof for the Queuing Formula: L = λ W (1961)Modelling of extremal events in insurance and finance (1994)Modelling Extremal Events (1997)Queueing model for call blending in call centers (2003)Competition in Service Industries with Segmented Markets (2009)Operational Research: methods and applications (2023)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Exponential bounds for queues with Markovian arrivals (1994)Discrete Choice Theory of Product Differentiation (1992)Price Competition with the Attraction Demand Model: Existence of Unique Equilibrium and Its Stability (2006)Investment and Market Structure in Industries with Congestion (2010)Supermodularity and Complementarity (2011)Capacity Sharing and Cost Allocation among Independent Firms with Congestion (2014)Insensitivity of blocking probabilities in a circuit-switching network (1984)Blocking with retrials in a completely shared resource environment (1992)Load effect on service times (2018)Fluctuation theory in continuous time (1975)Fluctuation theory in continuous time (1975)Heavy traffic theory for queues with several servers. II (1979)An introduction to queueing theory (1993)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Data-driven robust optimization (2017)On Queueing Processes with Bulk Service (1954)On Queues in Heavy Traffic (1962)Control Techniques for Complex Networks (2007)
this work references cited by second hop

References

  • 1952The theory of queues with a single server876 cited
  • 1951Some Problems in the Theory of Queues653 cited
  • 1951The Life and Works of A. K. Erlang.120 cited

Cited by

  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 2002Analysis, Design, and Control of Queueing Systems128 cited
  • 1966On the algebra of queues112 cited
  • 1959Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time108 cited
  • 2008Service Competition with General Queueing Facilities95 cited
  • 1964Some Recent Work and Further Problems in the Theory of Queues86 cited
  • 1992Phase-Type Representations in Random Walk and Queueing Problems84 cited
  • 2008Real-Time Delay Estimation Based on Delay History78 cited
  • 1998Extreme Value Theory for Queues Via Cycle Maxima76 cited
  • 1986Approximation with generalized hyperexponential distributions: Weak convergence results71 cited
  • 2008Characterization of Matrix-Exponential Distributions68 cited

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  • 1972Embedded renewal processes in theGI/G/squeue67 cited
  • 2009The first Erlang century—and the next66 cited
  • 1994An approximation for performance evaluation of stationary single server queues64 cited
  • 2021Open problems in queueing theory inspired by datacenter computing62 cited