Conditioned limit theorems for waiting-time processes of the M/G/1 queue

DOI10.2307/3213902zbMath0526.60086OpenAlexW4236860895MaRDI QIDQ3040277

Gerard Hooghiemstra

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/3213902

zbMATH Keywords

weak convergencefunctional limit theoremsBrownian excursionBrownian meanderconditioned limit theorems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

Related Items (9)

On the local time of a stopped random walk attaining a high level ⋮ Mean valued of a function of a random walk up to the time of the first passage to the semiaxis ⋮ Conditioned limit theorem for virtual waiting time process of the GI/G/1 queue ⋮ Functional limit theorem for a stopped random walk attaining a high level ⋮ Conditional limit theorems for queues with Gaussian input, a weak convergence approach ⋮ Conditioned limit theorems for the pair of waiting time and queue line processes ⋮ On the behavior of the batch arrival queueMx/M/1 during a busy period ⋮ Functional limit theorem for the local time of stopped random walk ⋮ Conditional limit theorems for asymptotically stable random walks

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