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A new approach to the busy period of the M/M/1 queue
8 references·0 citing·26 second hop
A new approach to the busy period of the M/M/1 queue (2000)A new approach to the busy period of the …Stochastic Storage Processes: Queues, Insurance Risk, Dams and Data Communication (1999)Stochastic Storage Processes:…Stochastic Storage Processes (1998)Stochastic Storage ProcessesDynamic, Transient and Stationary Behavior of the $M/GI/1$ Queue Via Martingales (1989)Dynamic, Transient and Statio…The Single Server Queue (1983)The Single Server QueueCalculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales (1983)Calculation of the Laplace Tr…An approximation for the busy period of the M/G/1 queue using a diffusion model (1974)An approximation for the busy…An approximation for the busy period of the M/G/ 1 queue using a diffusion model (1974)An approximation for the busy…Time-dependent results in storage theory (1964)Time-dependent results in sto…Diffusion approximations and models for certain congestion problems (1968)On-Line and Adaptive Optimum Advertising Control by a Diffusion Approximation (1975)An operational calculus for probability distributions via Laplace transforms (1996)Diffusion Approximation as a Modelling Tool (2011)Introduction to the Theory of Queues. (1963)Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues (2004)Introduction to Stochastic Processes (2014)The theory of queues with a single server (1952)Studies in the Mathematical Theory of Inventory and Production (1960)The stability of a queue with non-independent inter-arrival and service times (1962)Infinite dams with inputs forming a Markov chain (1968)Recent advances in storage and flooding theory (1969)Finite dams with inputs forming a Markov chain (1970)Self-similar communication models and very heavy tails (2000)The asymptotic variance of departures in critically loaded queues (2011)The G t /GI/s t +GI many-server fluid queue (2012)Distributions of stopping times for compound poisson processes with positive jumps and linear boundaries (1999)Some Time-Dependent Properties of Symmetric M/G/1 Queues (2005)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)Spectrally negative Lévy processes with applications in risk theory (2001)On the dual risk model with tax payments (2008)Approximation techniques in the solution of queueing problems (1979)A note on the optimal control of a cash balance problem (1980)Busy Periods of Poisson Arrival Queues with Loss (2001)
this work references cited by second hop

References

  • 1983The Single Server Queue844 cited
  • 1998Stochastic Storage Processes106 cited
  • 1999Stochastic Storage Processes: Queues, Insurance Risk, Dams and Data Communication89 cited
  • 1964Time-dependent results in storage theory62 cited
  • 1983Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales25 cited
  • 1974An approximation for the busy period of the M/G/1 queue using a diffusion model24 cited
  • 1989Dynamic, Transient and Stationary Behavior of the $M/GI/1$ Queue Via Martingales21 cited
  • 1974An approximation for the busy period of the M/G/ 1 queue using a diffusion model18 cited

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