On the Integrodifferential Equation of Takacs. I
From MaRDI portal
Publication:3259325
DOI10.1214/aoms/1177706632zbMath0086.33703OpenAlexW4255139593MaRDI QIDQ3259325
Publication date: 1958
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177706632
Related Items (29)
On future drawdowns of Lévy processes ⋮ A periodic solution of the Takacs equation ⋮ A storage model with self-similar input ⋮ Minimizing Large Deviation Paths for a Family of Long-Range Dependent Processes and Their Fractional Brownian Approximations ⋮ Extremes of stationary Gaussian storage models ⋮ Probability modelling across the continents ⋮ Large buffer asymptotics for generalized processor sharing queues with Gaussian inputs ⋮ A fluid system with coupled input and output, and its application to bottlenecks in ad hoc networks ⋮ Lévy-driven GPS queues with heavy-tailed input ⋮ Open problems in Gaussian fluid queueing theory ⋮ Gaussian queues in light and heavy traffic ⋮ Transient analysis of Lévy-driven tandem queues ⋮ A waiting time process in the queueGI/M/1 ⋮ A note on the delay distribution in GPS ⋮ On the infimum attained by the reflected fractional Brownian motion ⋮ Tandem Brownian queues ⋮ Asymptotics of Hybrid Fluid Queues with Lévy Input ⋮ Diffusion local time storage ⋮ Extremes of the time-average of stationary Gaussian processes ⋮ Sample-path large deviations for tandem and priority queues with Gaussian inputs ⋮ Sample path large deviations for a family of long-range dependent traffic and associated queue length processes ⋮ Asymptotic analysis of Lévy-driven tandem queues ⋮ On a lower asymptotic bound of the overflow probability in a fluid queue with a heterogeneous fractional input ⋮ Shot-noise queueing models ⋮ M/M/∞ Transience: Tail Asymptotics of Congestion Periods ⋮ Sample path properties of reflected Gaussian processes ⋮ A fluid model for a relay node in an ad hoc network: the case of heavy-tailed input ⋮ Logarithmic Asymptotics for Multidimensional Extremes Under Nonlinear Scalings ⋮ A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH
This page was built for publication: On the Integrodifferential Equation of Takacs. I