A note on the equilibrium M/G/1 queue length

DOI10.2307/3214251zbMath0642.60081OpenAlexW2332862144MaRDI QIDQ3784957

Gordon E. Willmot

Publication date: 1988

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214251

zbMATH Keywords

probability generating functioninfinite divisibilityrenewal theorembatch arrivalssteady-state

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Renewal theory (60K05)

Related Items (5)

Tail asymptotics for the queue size distribution in a discrete-time \(Geo/G/1\) retrial queue ⋮ Optimal control of a large dam with compound Poisson input and costs depending on water levels ⋮ Exact waiting time and queue size distributions for equilibrium \(M/G/1\) queues with Pareto service ⋮ Takács' asymptotic theorem and its applications: a survey ⋮ Rare events in queueing systems -- A survey

This page was built for publication: A note on the equilibrium M/G/1 queue length