A functional approach to the stationary waiting time and idle period distributions of the \(GI/G/1\) queue

DOI10.1214/aop/1176989528zbMath0809.60096OpenAlexW2036435200MaRDI QIDQ1203655

Susan M. Pitts, Rudolf Grübel

Publication date: 22 February 1993

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989528

zbMATH Keywords

ladder heightsqueueing modelFréchet derivativesharmonic renewal measures

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25)

Related Items (8)

Computing the extremal index of special Markov chains and queues ⋮ Approximations for the Gerber-Shiu expected discounted penalty function in the compound poisson risk model ⋮ A Functional Approach for Ruin Probabilities ⋮ Approximations for solutions of renewal-type equations ⋮ A survey of parameter and state estimation in queues ⋮ A functional approach to approximations for the observed open times in single ion channel models ⋮ A Functional Approach to Approximations for the Individual Risk Model ⋮ Large sample Bayesian analysis for Geo\(/G/1\) discrete-time queueing models

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