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Dynamic, Transient and Stationary Behavior of the $M/GI/1$ Queue Via Martingales
5 references·2 citing·19 second hop
Dynamic, Transient and Stationary Behavior of the $M/GI/1$ Queue Via Martingales (1989)Dynamic, Transient and Stationary Behavio…Introduction to Stochastic Processes (2014)Introduction to Stochastic Pr…The Single Server Queue. (1983)The Single Server Queue.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…Introduction to the Theory of Queues. (1963)Introduction to the Theory of…Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues (2004)Scale functions of Lévy proce…A new approach to the busy period of the M/M/1 queue (2000)A new approach to the busy pe…Stochastic Storage Processes (1998)Stochastic Storage Processes: Queues, Insurance Risk, Dams and Data Communication (1999)A Martingale Review of some Fluctuation Theory for Spectrally Negative Lévy Processes (2004)Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options (2004)On Exit and Ergodicity of the Spectrally One-Sided Lévy Process Reflected at Its Infimum (2004)Busy Periods of Poisson Arrival Queues with Loss (2001)Some Time-Dependent Properties of Symmetric M/G/1 Queues (2005)Extreme Values in the GI/G/1 Queue (1972)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)A General Class of Bulk Queues with Poisson Input (1967)Stochastic Processes for Insurance and Finance (1999)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Fast simulation of rare events in queueing and reliability models (1995)A Theory of Trickle-Down Growth and Development (1997)A taxonomy of model structures for economic evaluation of health technologies (2006)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)
this work references cited by second hop

References

  • 2014Introduction to Stochastic Processes2,383 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1983The Single Server Queue844 cited
  • 1983The Single Server Queue.370 cited
  • 1983Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales25 cited

Cited by

  • 2004Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues16 cited
  • 2000A new approach to the busy period of the M/M/1 queue14 cited

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