An analytical interpretation of the discrete approximation for the GI/GI/1 queue1

DOI10.1080/02331938508843018zbMath0571.60094OpenAlexW1976028624MaRDI QIDQ3687477

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Publication date: 1985

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938508843018

zbMATH Keywords

discrete approximationsingle server queueing systemLindley's integral equation

Mathematics Subject Classification ID

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

Related Items (2)

A unifying diffusion model for state-dependent queues ⋮ Bedienungstheorie: Tendenzen und neuere Entwicklungen. (Servicing theory: Tendencies and new developments)

Cites Work

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• The Wiener-Hopf equation whose kernel is a probability density
• Approximating the stationary waiting time distribution function of GI/GI/1-queues with arithmetic interarrival time and service time distribution function
• Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods
• Weak convergence of a sequence of Markov chains
• The continuity of the single server queue
• Über die Verteilung von Wartezeiten

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