On the quasi-stationary distribution of the virtual waiting time in queues with Poisson arrivals
From MaRDI portal
Publication:5643422
DOI10.2307/3212173zbMath0234.60121OpenAlexW2324365247MaRDI QIDQ5643422
Publication date: 1971
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3212173
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items
Quasi-Stationary Workload in a Lévy-Driven Storage System ⋮ Quasi-stationary distributions for Lévy processes ⋮ Conditioned limit theorem for virtual waiting time process of the GI/G/1 queue ⋮ A stochastic model for proactive risk management decisions ⋮ Perturbation analysis of waiting times in the G/G/1 queue ⋮ Parisian quasi-stationary distributions for asymmetric Lévy processes ⋮ Tail behaviour of the area under a random process, with applications to queueing systems, insurance and percolations ⋮ Yaglom limit for unimodal Lévy processes ⋮ Speed of convergence to the quasi-stationary distribution for Lévy input fluid queues ⋮ Processor sharing: a survey of the mathematical theory ⋮ Tail asymptotics of the waiting time and the busy period for the \(\mathrm{M}/\mathrm{G}/1/K\) queues with subexponential service times ⋮ On the exact asymptotics of the busy period in GI/G/1 queues ⋮ Yaglom limit for stochastic fluid models ⋮ Yaglom limit for stable processes in cones ⋮ Computation of the quasi-stationary distributions in \(M(n)/GI/1/K\) and \(GI/M(n)/1/K\) queues ⋮ On extreme values in open queueing networks ⋮ On the analysis of the virtual waiting time in open queueing networks
