Conditioned limit theorem for virtual waiting time process of the GI/G/1 queue

DOI10.1007/BF01157857zbMath0669.60087OpenAlexW2027978762MaRDI QIDQ1118918

S. H. Smith

Publication date: 1988

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157857

zbMATH Keywords

conditional limit theoremsBrownian meander processvirtual waiting time process

Mathematics Subject Classification ID

Gaussian processes (60G15) Queueing theory (aspects of probability theory) (60K25)

Related Items (1)

Conditioned limit theorems for the pair of waiting time and queue line processes

Cites Work

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• Functional central limit theorems for random walks conditioned to stay positive
• On a functional central limit theorem for random walks conditioned to stay positive
• Conditioned limit theorems for waiting-time processes of the M/G/1 queue
• Limiting diffusions for the conditioned M/G/1 queue
• The quasi-stationary distributions of queues in heavy traffic
• On the quasi-stationary distribution of the virtual waiting time in queues with Poisson arrivals
• On the quasi-stationary distributions of the GI/M/1 queue

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